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JSON Web Signature (JWS) is a means of representing signed content using JSON data structures. Related encryption capabilities are described in the separate JSON Web Encryption (JWE) specification.
The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in RFC 2119 (Bradner, S., “Key words for use in RFCs to Indicate Requirement Levels,” March 1997.) [RFC2119].
This Internet-Draft is submitted in full conformance with the provisions of BCP 78 and BCP 79.
Internet-Drafts are working documents of the Internet Engineering Task Force (IETF). Note that other groups may also distribute working documents as Internet-Drafts. The list of current Internet-Drafts is at http://datatracker.ietf.org/drafts/current/.
Internet-Drafts are draft documents valid for a maximum of six months and may be updated, replaced, or obsoleted by other documents at any time. It is inappropriate to use Internet-Drafts as reference material or to cite them other than as “work in progress.”
This Internet-Draft will expire on June 15, 2012.
Copyright (c) 2011 IETF Trust and the persons identified as the document authors. All rights reserved.
This document is subject to BCP 78 and the IETF Trust's Legal Provisions Relating to IETF Documents (http://trustee.ietf.org/license-info) in effect on the date of publication of this document. Please review these documents carefully, as they describe your rights and restrictions with respect to this document. Code Components extracted from this document must include Simplified BSD License text as described in Section 4.e of the Trust Legal Provisions and are provided without warranty as described in the Simplified BSD License.
1.
Introduction
2.
Terminology
3.
JSON Web Signature (JWS) Overview
3.1.
Example JWS
4.
JWS Header
4.1.
Reserved Header Parameter Names
4.2.
Public Header Parameter Names
4.3.
Private Header Parameter Names
5.
Rules for Creating and Validating a JWS
6.
Signing JWSs with Cryptographic Algorithms
6.1.
Creating a JWS with HMAC SHA-256, HMAC SHA-384, or HMAC SHA-512
6.2.
Creating a JWS with RSA SHA-256, RSA SHA-384, or RSA SHA-512
6.3.
Creating a JWS with ECDSA P-256 SHA-256, ECDSA P-384 SHA-384, or ECDSA P-521 SHA-512
6.4.
Additional Algorithms
7.
IANA Considerations
8.
Security Considerations
8.1.
Unicode Comparison Security Issues
9.
Open Issues and Things To Be Done (TBD)
10.
References
10.1.
Normative References
10.2.
Informative References
Appendix A.
JWS Examples
A.1.
JWS using HMAC SHA-256
A.1.1.
Encoding
A.1.2.
Decoding
A.1.3.
Validating
A.2.
JWS using RSA SHA-256
A.2.1.
Encoding
A.2.2.
Decoding
A.2.3.
Validating
A.3.
JWS using ECDSA P-256 SHA-256
A.3.1.
Encoding
A.3.2.
Decoding
A.3.3.
Validating
Appendix B.
Algorithm Identifier Cross-Reference
Appendix C.
Notes on implementing base64url encoding without padding
Appendix D.
Acknowledgements
Appendix E.
Document History
§
Authors' Addresses
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JSON Web Signature (JWS) is a compact signature format intended for space constrained environments such as HTTP Authorization headers and URI query parameters. It represents signed content using JSON [RFC4627] (Crockford, D., “The application/json Media Type for JavaScript Object Notation (JSON),” July 2006.) data structures. The JWS signature mechanisms are independent of the type of content being signed, allowing arbitrary content to be signed. A related encryption capability is described in a separate JSON Web Encryption (JWE) [JWE] (Jones, M., Rescorla, E., and J. Hildebrand, “JSON Web Encryption (JWE),” December 2011.) specification.
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- JSON Web Signature (JWS)
- A data structure cryptographically securing a JWS Header and a JWS Payload with a JWS Signature.
- JWS Header
- A string representing a JSON object that describes the signature applied to the JWS Header and the JWS Payload to create the JWS Signature.
- JWS Payload
- The bytes to be signed - a.k.a., the message.
- JWS Signature
- A byte array containing the cryptographic material that secures the contents of the JWS Header and the JWS Payload.
- Encoded JWS Header
- Base64url encoding of the bytes of the UTF-8 RFC 3629 (Yergeau, F., “UTF-8, a transformation format of ISO 10646,” November 2003.) [RFC3629] representation of the JWS Header.
- Encoded JWS Payload
- Base64url encoding of the JWS Payload.
- Encoded JWS Signature
- Base64url encoding of the JWS Signature.
- JWS Signing Input
- The concatenation of the Encoded JWS Header, a period ('.') character, and the Encoded JWS Payload.
- Header Parameter Names
- The names of the members within the JSON object represented in a JWS Header.
- Header Parameter Values
- The values of the members within the JSON object represented in a JWS Header.
- Digital Signature
- For the purposes of this specification, we use this term to encompass both Hash-based Message Authentication Codes (HMACs), which can provide authenticity but not non-repudiation, and digital signatures using public key algorithms, which can provide both. Readers should be aware of this distinction, despite the decision to use a single term for both concepts to improve readability of the specification.
- Base64url Encoding
- For the purposes of this specification, this term always refers to the URL- and filename-safe Base64 encoding described in RFC 4648 (Josefsson, S., “The Base16, Base32, and Base64 Data Encodings,” October 2006.) [RFC4648], Section 5, with the (non URL-safe) '=' padding characters omitted, as permitted by Section 3.2. (See Appendix C (Notes on implementing base64url encoding without padding) for notes on implementing base64url encoding without padding.)
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JWS represents signed content using JSON data structures and base64url encoding. The representation consists of three parts: the JWS Header, the JWS Payload, and the JWS Signature. The three parts are base64url-encoded for transmission, and typically represented as the concatenation of the encoded strings in that order, with the three strings being separated by period ('.') characters.
The JWS Header describes the signature method and parameters employed. The JWS Payload is the message content to be secured. The JWS Signature ensures the integrity of both the JWS Header and the JWS Payload.
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The following example JWS Header declares that the encoded object is a JSON Web Token (JWT) [JWT] (Jones, M., Balfanz, D., Bradley, J., Goland, Y., Panzer, J., Sakimura, N., and P. Tarjan, “JSON Web Token (JWT),” December 2011.) and the JWS Header and the JWS Payload are signed using the HMAC SHA-256 algorithm:
{"typ":"JWT", "alg":"HS256"}
Base64url encoding the bytes of the UTF-8 representation of the JWS Header yields this Encoded JWS Header value:
eyJ0eXAiOiJKV1QiLA0KICJhbGciOiJIUzI1NiJ9
The following is an example of a JSON object that can be used as a JWS Payload. (Note that the payload can be any content, and need not be a representation of a JSON object.)
{"iss":"joe", "exp":1300819380, "http://example.com/is_root":true}
Base64url encoding the bytes of the UTF-8 representation of the JSON object yields the following Encoded JWS Payload (with line breaks for display purposes only):
eyJpc3MiOiJqb2UiLA0KICJleHAiOjEzMDA4MTkzODAsDQogImh0dHA6Ly9leGFt cGxlLmNvbS9pc19yb290Ijp0cnVlfQ
Signing the UTF-8 representation of the JWS Signing Input (the concatenation of the Encoded JWS Header, a period ('.') character, and the Encoded JWS Payload) with the HMAC SHA-256 algorithm and base64url encoding the result, as per Section 6.1 (Creating a JWS with HMAC SHA-256, HMAC SHA-384, or HMAC SHA-512), yields this Encoded JWS Signature value:
dBjftJeZ4CVP-mB92K27uhbUJU1p1r_wW1gFWFOEjXk
Concatenating these parts in the order Header.Payload.Signature with period characters between the parts yields this complete JWS representation (with line breaks for display purposes only):
eyJ0eXAiOiJKV1QiLA0KICJhbGciOiJIUzI1NiJ9 . eyJpc3MiOiJqb2UiLA0KICJleHAiOjEzMDA4MTkzODAsDQogImh0dHA6Ly9leGFt cGxlLmNvbS9pc19yb290Ijp0cnVlfQ . dBjftJeZ4CVP-mB92K27uhbUJU1p1r_wW1gFWFOEjXk
This computation is illustrated in more detail in Appendix A.1 (JWS using HMAC SHA-256).
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The members of the JSON object represented by the JWS Header describe the signature applied to the Encoded JWS Header and the Encoded JWS Payload and optionally additional properties of the JWS. The Header Parameter Names within this object MUST be unique. Implementations MUST understand the entire contents of the header; otherwise, the JWS MUST be rejected for processing.
The JWS Header MUST contain an alg parameter, the value of which is a string that unambiguously identifies the algorithm used to sign the JWS Header and the JWS Payload to produce the JWS Signature.
There are three classes of Header Parameter Names: Reserved Header Parameter Names, Public Header Parameter Names, and Private Header Parameter Names.
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The following header parameter names are reserved. All the names are short because a core goal of JWSs is for the representations to be compact.
Header Parameter Name | JSON Value Type | Header Parameter Syntax | Header Parameter Semantics |
---|---|---|---|
alg | string | StringOrURI | The alg (algorithm) header parameter identifies the cryptographic algorithm used to secure the JWS. A list of defined alg values is presented in Table 3 (JWS Defined "alg" Parameter Values). The processing of the alg header parameter requires that the value MUST be one that is both supported and for which there exists a key for use with that algorithm associated with the signer of the content. The alg parameter value is case sensitive. This header parameter is REQUIRED. |
typ | string | String | The typ (type) header parameter is used to declare the type of the signed content. The typ value is case sensitive. This header parameter is OPTIONAL. |
jku | string | URL | The jku (JSON Web Key URL) header parameter is an absolute URL that refers to a resource for a set of JSON-encoded public keys, one of which corresponds to the key that was used to sign the JWS. The keys MUST be encoded as described in the JSON Web Key (JWK) [JWK] (Jones, M., “JSON Web Key (JWK),” December 2011.) specification. The protocol used to acquire the resource MUST provide integrity protection. An HTTP GET request to retrieve the certificate MUST use TLS RFC 2818 (Rescorla, E., “HTTP Over TLS,” May 2000.) [RFC2818] RFC 5246 (Dierks, T. and E. Rescorla, “The Transport Layer Security (TLS) Protocol Version 1.2,” August 2008.) [RFC5246] with server authentication RFC 6125 (Saint-Andre, P. and J. Hodges, “Representation and Verification of Domain-Based Application Service Identity within Internet Public Key Infrastructure Using X.509 (PKIX) Certificates in the Context of Transport Layer Security (TLS),” March 2011.) [RFC6125]. This header parameter is OPTIONAL. |
kid | string | String | The kid (key ID) header parameter is a hint indicating which specific key owned by the signer should be used to validate the signature. This allows signers to explicitly signal a change of key to recipients. The interpretation of the contents of the kid parameter is unspecified. This header parameter is OPTIONAL. |
x5u | string | URL | The x5u (X.509 URL) header parameter is an absolute URL that refers to a resource for the X.509 public key certificate or certificate chain corresponding to the key used to sign the JWS. The identified resource MUST provide a representation of the certificate or certificate chain that conforms to RFC 5280 (Cooper, D., Santesson, S., Farrell, S., Boeyen, S., Housley, R., and W. Polk, “Internet X.509 Public Key Infrastructure Certificate and Certificate Revocation List (CRL) Profile,” May 2008.) [RFC5280] in PEM encoded form RFC 1421 (Linn, J., “Privacy Enhancement for Internet Electronic Mail: Part I: Message Encryption and Authentication Procedures,” February 1993.) [RFC1421]. The protocol used to acquire the resource MUST provide integrity protection. An HTTP GET request to retrieve the certificate MUST use TLS RFC 2818 (Rescorla, E., “HTTP Over TLS,” May 2000.) [RFC2818] RFC 5246 (Dierks, T. and E. Rescorla, “The Transport Layer Security (TLS) Protocol Version 1.2,” August 2008.) [RFC5246] with server authentication RFC 6125 (Saint-Andre, P. and J. Hodges, “Representation and Verification of Domain-Based Application Service Identity within Internet Public Key Infrastructure Using X.509 (PKIX) Certificates in the Context of Transport Layer Security (TLS),” March 2011.) [RFC6125]. This header parameter is OPTIONAL. |
x5t | string | String | The x5t (x.509 certificate thumbprint) header parameter provides a base64url encoded SHA-1 thumbprint (a.k.a. digest) of the DER encoding of an X.509 certificate that can be used to match the certificate. This header parameter is OPTIONAL. |
Table 1: Reserved Header Parameter Definitions |
Additional reserved header parameter names MAY be defined via the IANA JSON Web Signature Header Parameters registry, as per Section 7 (IANA Considerations). The syntax values used above are defined as follows:
Syntax Name | Syntax Definition |
---|---|
IntDate | The number of seconds from 1970-01-01T0:0:0Z as measured in UTC until the desired date/time. See RFC 3339 (Klyne, G., Ed. and C. Newman, “Date and Time on the Internet: Timestamps,” July 2002.) [RFC3339] for details regarding date/times in general and UTC in particular. |
String | Any string value MAY be used. |
StringOrURI | Any string value MAY be used but a value containing a ":" character MUST be a URI as defined in RFC 3986 (Berners-Lee, T., Fielding, R., and L. Masinter, “Uniform Resource Identifier (URI): Generic Syntax,” January 2005.) [RFC3986]. |
URL | A URL as defined in RFC 1738 (Berners-Lee, T., Masinter, L., and M. McCahill, “Uniform Resource Locators (URL),” December 1994.) [RFC1738]. |
Table 2: Header Parameter Syntax Definitions |
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Additional header parameter names can be defined by those using JWSs. However, in order to prevent collisions, any new header parameter name or algorithm value SHOULD either be defined in the IANA JSON Web Signature Header Parameters registry or be defined as a URI that contains a collision resistant namespace. In each case, the definer of the name or value needs to take reasonable precautions to make sure they are in control of the part of the namespace they use to define the header parameter name.
New header parameters should be introduced sparingly, as they can result in non-interoperable JWSs.
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A producer and consumer of a JWS may agree to any header parameter name that is not a Reserved Name Section 4.1 (Reserved Header Parameter Names) or a Public Name Section 4.2 (Public Header Parameter Names). Unlike Public Names, these private names are subject to collision and should be used with caution.
New header parameters should be introduced sparingly, as they can result in non-interoperable JWSs.
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To create a JWS, one MUST perform these steps:
When validating a JWS, the following steps MUST be taken. If any of the listed steps fails, then the signed content MUST be rejected.
Processing a JWS inevitably requires comparing known strings to values in the header. For example, in checking what the algorithm is, the Unicode string encoding alg will be checked against the member names in the JWS Header to see if there is a matching header parameter name. A similar process occurs when determining if the value of the alg header parameter represents a supported algorithm.
Comparisons between JSON strings and other Unicode strings MUST be performed as specified below:
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JWSs use specific cryptographic algorithms to sign the contents of the JWS Header and the JWS Payload. The use of the following algorithms for producing JWSs is defined in this section. The table below is the list of alg header parameter values defined by this specification, each of which is explained in more detail in the following sections:
Alg Parameter Value | Algorithm |
---|---|
HS256 | HMAC using SHA-256 hash algorithm |
HS384 | HMAC using SHA-384 hash algorithm |
HS512 | HMAC using SHA-512 hash algorithm |
RS256 | RSA using SHA-256 hash algorithm |
RS384 | RSA using SHA-384 hash algorithm |
RS512 | RSA using SHA-512 hash algorithm |
ES256 | ECDSA using P-256 curve and SHA-256 hash algorithm |
ES384 | ECDSA using P-384 curve and SHA-384 hash algorithm |
ES512 | ECDSA using P-521 curve and SHA-512 hash algorithm |
Table 3: JWS Defined "alg" Parameter Values |
See Appendix B (Algorithm Identifier Cross-Reference) for a table cross-referencing the alg values used in this specification with the equivalent identifiers used by other standards and software packages.
Of these algorithms, only HMAC SHA-256 MUST be implemented by conforming implementations. It is RECOMMENDED that implementations also support the RSA SHA-256 and ECDSA P-256 SHA-256 algorithms. Support for other algorithms and key sizes is OPTIONAL.
The signed content for a JWS is the same for all algorithms: the concatenation of the Encoded JWS Header, a period ('.') character, and the Encoded JWS Payload. This character sequence is referred to as the JWS Signing Input. Note that if the JWS represents a JWT, this corresponds to the portion of the JWT representation preceding the second period character. The UTF-8 representation of the JWS Signing Input is passed to the respective signing algorithms.
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Hash based Message Authentication Codes (HMACs) enable one to use a secret plus a cryptographic hash function to generate a Message Authentication Code (MAC). This can be used to demonstrate that the MAC matches the hashed content, in this case the JWS Signing Input, which therefore demonstrates that whoever generated the MAC was in possession of the secret. The means of exchanging the shared key is outside the scope of this specification.
The algorithm for implementing and validating HMACs is provided in RFC 2104 (Krawczyk, H., Bellare, M., and R. Canetti, “HMAC: Keyed-Hashing for Message Authentication,” February 1997.) [RFC2104]. This section defines the use of the HMAC SHA-256, HMAC SHA-384, and HMAC SHA-512 cryptographic hash functions as defined in FIPS 180-3 (National Institute of Standards and Technology, “Secure Hash Standard (SHS),” October 2008.) [FIPS.180‑3]. The alg header parameter values HS256, HS384, and HS512 are used in the JWS Header to indicate that the Encoded JWS Signature contains a base64url encoded HMAC value using the respective hash function.
The HMAC SHA-256 MAC is generated as follows:
The output is the Encoded JWS Signature for that JWS.
The HMAC SHA-256 MAC for a JWS is validated as follows:
Signing with the HMAC SHA-384 and HMAC SHA-512 algorithms is performed identically to the procedure for HMAC SHA-256 - just with correspondingly longer key and result values.
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This section defines the use of the RSASSA-PKCS1-v1_5 signature algorithm as defined in RFC 3447 (Jonsson, J. and B. Kaliski, “Public-Key Cryptography Standards (PKCS) #1: RSA Cryptography Specifications Version 2.1,” February 2003.) [RFC3447], Section 8.2 (commonly known as PKCS#1), using SHA-256, SHA-384, or SHA-512 as the hash function. The RSASSA-PKCS1-v1_5 algorithm is described in FIPS 186-3 (National Institute of Standards and Technology, “Digital Signature Standard (DSS),” June 2009.) [FIPS.186‑3], Section 5.5, and the SHA-256, SHA-384, and SHA-512 cryptographic hash functions are defined in FIPS 180-3 (National Institute of Standards and Technology, “Secure Hash Standard (SHS),” October 2008.) [FIPS.180‑3]. The alg header parameter values RS256, RS384, and RS512 are used in the JWS Header to indicate that the Encoded JWS Signature contains a base64url encoded RSA signature using the respective hash function.
The public keys employed can be identified using Header Parameter methods described in Section 4.1 (Reserved Header Parameter Names) or can be distributed using methods that are outside the scope of this specification.
A 2048-bit or longer key length MUST be used with this algorithm.
The RSA SHA-256 signature is generated as follows:
The output is the Encoded JWS Signature for that JWS.
The RSA SHA-256 signature for a JWS is validated as follows:
Signing with the RSA SHA-384 and RSA SHA-512 algorithms is performed identically to the procedure for RSA SHA-256 - just with correspondingly longer key and result values.
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The Elliptic Curve Digital Signature Algorithm (ECDSA) is defined by FIPS 186-3 (National Institute of Standards and Technology, “Digital Signature Standard (DSS),” June 2009.) [FIPS.186‑3]. ECDSA provides for the use of Elliptic Curve cryptography, which is able to provide equivalent security to RSA cryptography but using shorter key lengths and with greater processing speed. This means that ECDSA signatures will be substantially smaller in terms of length than equivalently strong RSA Digital Signatures.
This specification defines the use of ECDSA with the P-256 curve and the SHA-256 cryptographic hash function, ECDSA with the P-384 curve and the SHA-384 hash function, and ECDSA with the P-521 curve and the SHA-512 hash function. The P-256, P-384, and P-521 curves are also defined in FIPS 186-3. The alg header parameter values ES256, ES384, and ES512 are used in the JWS Header to indicate that the Encoded JWS Signature contains a base64url encoded ECDSA P-256 SHA-256, ECDSA P-384 SHA-384, or ECDSA P-521 SHA-512 signature, respectively.
The public keys employed can be identified using Header Parameter methods described in Section 4.1 (Reserved Header Parameter Names) or can be distributed using methods that are outside the scope of this specification.
A JWS is signed with an ECDSA P-256 SHA-256 signature as follows:
The output is the Encoded JWS Signature for the JWS.
The ECDSA P-256 SHA-256 signature for a JWS is validated as follows:
The ECDSA validator will then determine if the digital signature is valid, given the inputs. Note that ECDSA digital signature contains a value referred to as K, which is a random number generated for each digital signature instance. This means that two ECDSA digital signatures using exactly the same input parameters will output different signatures because their K values will be different. The consequence of this is that one must validate an ECDSA signature by submitting the previously specified inputs to an ECDSA validator.
Signing with the ECDSA P-384 SHA-384 and ECDSA P-521 SHA-512 algorithms is performed identically to the procedure for ECDSA P-256 SHA-256 - just with correspondingly longer key and result values.
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Additional algorithms MAY be used to protect JWSs with corresponding alg header parameter values being defined to refer to them. New alg header parameter values SHOULD either be defined in the IANA JSON Web Signature Algorithms registry or be a URI that contains a collision resistant namespace. In particular, it is permissible to use the algorithm identifiers defined in XML DSIG (Eastlake, D., Reagle, J., and D. Solo, “(Extensible Markup Language) XML-Signature Syntax and Processing,” March 2002.) [RFC3275] and related specifications as alg values.
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This specification calls for:
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TBD: Lots of work to do here. We need to remember to look into any issues relating to security and JSON parsing. One wonders just how secure most JSON parsing libraries are. Were they ever hardened for security scenarios? If not, what kind of holes does that open up? Also, we need to walk through the JSON standard and see what kind of issues we have especially around comparison of names. For instance, comparisons of header parameter names and other parameters must occur after they are unescaped. Need to also put in text about: Importance of keeping secrets secret. Rotating keys. Strengths and weaknesses of the different algorithms.
TBD: Need to put in text about why strict JSON validation is necessary. Basically, that if malformed JSON is received then the intent of the sender is impossible to reliably discern. One example of malformed JSON that MUST be rejected is an object in which the same member name occurs multiple times.
TBD: Write security considerations about the implications of using a SHA-1 hash (for compatibility reasons) for the x5t (x.509 certificate thumbprint).
When utilizing TLS to retrieve information, the authority providing the resource MUST be authenticated and the information retrieved MUST be free from modification.
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Header parameter names in JWSs are Unicode strings. For security reasons, the representations of these names must be compared verbatim after performing any escape processing (as per RFC 4627 (Crockford, D., “The application/json Media Type for JavaScript Object Notation (JSON),” July 2006.) [RFC4627], Section 2.5).
This means, for instance, that these JSON strings must compare as being equal ("sig", "\u0073ig"), whereas these must all compare as being not equal to the first set or to each other ("SIG", "Sig", "si\u0047").
JSON strings MAY contain characters outside the Unicode Basic Multilingual Plane. For instance, the G clef character (U+1D11E) may be represented in a JSON string as "\uD834\uDD1E". Ideally, JWS implementations SHOULD ensure that characters outside the Basic Multilingual Plane are preserved and compared correctly; alternatively, if this is not possible due to these characters exercising limitations present in the underlying JSON implementation, then input containing them MUST be rejected.
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The following items remain to be done in this draft:
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[CanvasApp] | Facebook, “Canvas Applications,” 2010. |
[JCA] | Oracle, “Java Cryptography Architecture,” 2011. |
[JSS] | Bradley, J. and N. Sakimura (editor), “JSON Simple Sign,” September 2010. |
[JWE] | Jones, M., Rescorla, E., and J. Hildebrand, “JSON Web Encryption (JWE),” December 2011. |
[JWT] | Jones, M., Balfanz, D., Bradley, J., Goland, Y., Panzer, J., Sakimura, N., and P. Tarjan, “JSON Web Token (JWT),” December 2011. |
[MagicSignatures] | Panzer (editor), J., Laurie, B., and D. Balfanz, “Magic Signatures,” August 2010. |
[RFC3275] | Eastlake, D., Reagle, J., and D. Solo, “(Extensible Markup Language) XML-Signature Syntax and Processing,” RFC 3275, March 2002 (TXT). |
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This section provides several examples of JWSs. While these examples all represent JSON Web Tokens (JWTs) [JWT] (Jones, M., Balfanz, D., Bradley, J., Goland, Y., Panzer, J., Sakimura, N., and P. Tarjan, “JSON Web Token (JWT),” December 2011.), the payload can be any base64url encoded content.
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The following example JWS Header declares that the data structure is a JSON Web Token (JWT) [JWT] (Jones, M., Balfanz, D., Bradley, J., Goland, Y., Panzer, J., Sakimura, N., and P. Tarjan, “JSON Web Token (JWT),” December 2011.) and the JWS Signing Input is signed using the HMAC SHA-256 algorithm. Note that white space is explicitly allowed in JWS Header strings and no canonicalization is performed before encoding.
{"typ":"JWT", "alg":"HS256"}
The following byte array contains the UTF-8 characters for the JWS Header:
[123, 34, 116, 121, 112, 34, 58, 34, 74, 87, 84, 34, 44, 13, 10, 32, 34, 97, 108, 103, 34, 58, 34, 72, 83, 50, 53, 54, 34, 125]
Base64url encoding this UTF-8 representation yields this Encoded JWS Header value:
eyJ0eXAiOiJKV1QiLA0KICJhbGciOiJIUzI1NiJ9
The JWS Payload used in this example follows. (Note that the payload can be any base64url encoded content, and need not be a base64url encoded JSON object.)
{"iss":"joe", "exp":1300819380, "http://example.com/is_root":true}
The following byte array contains the UTF-8 characters for the JWS Payload:
[123, 34, 105, 115, 115, 34, 58, 34, 106, 111, 101, 34, 44, 13, 10, 32, 34, 101, 120, 112, 34, 58, 49, 51, 48, 48, 56, 49, 57, 51, 56, 48, 44, 13, 10, 32, 34, 104, 116, 116, 112, 58, 47, 47, 101, 120, 97, 109, 112, 108, 101, 46, 99, 111, 109, 47, 105, 115, 95, 114, 111, 111, 116, 34, 58, 116, 114, 117, 101, 125]
Base64url encoding the above yields the Encoded JWS Payload value (with line breaks for display purposes only):
eyJpc3MiOiJqb2UiLA0KICJleHAiOjEzMDA4MTkzODAsDQogImh0dHA6Ly9leGFt cGxlLmNvbS9pc19yb290Ijp0cnVlfQ
Concatenating the Encoded JWS Header, a period character, and the Encoded JWS Payload yields this JWS Signing Input value (with line breaks for display purposes only):
eyJ0eXAiOiJKV1QiLA0KICJhbGciOiJIUzI1NiJ9 . eyJpc3MiOiJqb2UiLA0KICJleHAiOjEzMDA4MTkzODAsDQogImh0dHA6Ly9leGFt cGxlLmNvbS9pc19yb290Ijp0cnVlfQ
The UTF-8 representation of the JWS Signing Input is the following byte array:
[101, 121, 74, 48, 101, 88, 65, 105, 79, 105, 74, 75, 86, 49, 81, 105, 76, 65, 48, 75, 73, 67, 74, 104, 98, 71, 99, 105, 79, 105, 74, 73, 85, 122, 73, 49, 78, 105, 74, 57, 46, 101, 121, 74, 112, 99, 51, 77, 105, 79, 105, 74, 113, 98, 50, 85, 105, 76, 65, 48, 75, 73, 67, 74, 108, 101, 72, 65, 105, 79, 106, 69, 122, 77, 68, 65, 52, 77, 84, 107, 122, 79, 68, 65, 115, 68, 81, 111, 103, 73, 109, 104, 48, 100, 72, 65, 54, 76, 121, 57, 108, 101, 71, 70, 116, 99, 71, 120, 108, 76, 109, 78, 118, 98, 83, 57, 112, 99, 49, 57, 121, 98, 50, 57, 48, 73, 106, 112, 48, 99, 110, 86, 108, 102, 81]
HMACs are generated using keys. This example uses the key represented by the following byte array:
[3, 35, 53, 75, 43, 15, 165, 188, 131, 126, 6, 101, 119, 123, 166, 143, 90, 179, 40, 230, 240, 84, 201, 40, 169, 15, 132, 178, 210, 80, 46, 191, 211, 251, 90, 146, 210, 6, 71, 239, 150, 138, 180, 195, 119, 98, 61, 34, 61, 46, 33, 114, 5, 46, 79, 8, 192, 205, 154, 245, 103, 208, 128, 163]
Running the HMAC SHA-256 algorithm on the UTF-8 representation of the JWS Signing Input with this key yields the following byte array:
[116, 24, 223, 180, 151, 153, 224, 37, 79, 250, 96, 125, 216, 173, 187, 186, 22, 212, 37, 77, 105, 214, 191, 240, 91, 88, 5, 88, 83, 132, 141, 121]
Base64url encoding the above HMAC output yields the Encoded JWS Signature value:
dBjftJeZ4CVP-mB92K27uhbUJU1p1r_wW1gFWFOEjXk
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Decoding the JWS first requires removing the base64url encoding from the Encoded JWS Header, the Encoded JWS Payload, and the Encoded JWS Signature. We base64url decode the inputs and turn them into the corresponding byte arrays. We translate the header input byte array containing UTF-8 encoded characters into the JWS Header string.
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Next we validate the decoded results. Since the alg parameter in the header is "HS256", we validate the HMAC SHA-256 signature contained in the JWS Signature. If any of the validation steps fail, the signed content MUST be rejected.
First, we validate that the JWS Header string is legal JSON.
To validate the signature, we repeat the previous process of using the correct key and the UTF-8 representation of the JWS Signing Input as input to a SHA-256 HMAC function and then taking the output and determining if it matches the JWS Signature. If it matches exactly, the signature has been validated.
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The JWS Header in this example is different from the previous example in two ways: First, because a different algorithm is being used, the alg value is different. Second, for illustration purposes only, the optional "typ" parameter is not used. (This difference is not related to the signature algorithm employed.) The JWS Header used is:
{"alg":"RS256"}
The following byte array contains the UTF-8 characters for the JWS Header:
[123, 34, 97, 108, 103, 34, 58, 34, 82, 83, 50, 53, 54, 34, 125]
Base64url encoding this UTF-8 representation yields this Encoded JWS Header value:
eyJhbGciOiJSUzI1NiJ9
The JWS Payload used in this example, which follows, is the same as in the previous example. Since the Encoded JWS Payload will therefore be the same, its computation is not repeated here.
{"iss":"joe", "exp":1300819380, "http://example.com/is_root":true}
Concatenating the Encoded JWS Header, a period character, and the Encoded JWS Payload yields this JWS Signing Input value (with line breaks for display purposes only):
eyJhbGciOiJSUzI1NiJ9 . eyJpc3MiOiJqb2UiLA0KICJleHAiOjEzMDA4MTkzODAsDQogImh0dHA6Ly9leGFt cGxlLmNvbS9pc19yb290Ijp0cnVlfQ
The UTF-8 representation of the JWS Signing Input is the following byte array:
[101, 121, 74, 104, 98, 71, 99, 105, 79, 105, 74, 83, 85, 122, 73, 49, 78, 105, 74, 57, 46, 101, 121, 74, 112, 99, 51, 77, 105, 79, 105, 74, 113, 98, 50, 85, 105, 76, 65, 48, 75, 73, 67, 74, 108, 101, 72, 65, 105, 79, 106, 69, 122, 77, 68, 65, 52, 77, 84, 107, 122, 79, 68, 65, 115, 68, 81, 111, 103, 73, 109, 104, 48, 100, 72, 65, 54, 76, 121, 57, 108, 101, 71, 70, 116, 99, 71, 120, 108, 76, 109, 78, 118, 98, 83, 57, 112, 99, 49, 57, 121, 98, 50, 57, 48, 73, 106, 112, 48, 99, 110, 86, 108, 102, 81]
The RSA key consists of a public part (n, e), and a private exponent d. The values of the RSA key used in this example, presented as the byte arrays representing big endian integers are:
Parameter Name | Value |
---|---|
n | [161, 248, 22, 10, 226, 227, 201, 180, 101, 206, 141, 45, 101, 98, 99, 54, 43, 146, 125, 190, 41, 225, 240, 36, 119, 252, 22, 37, 204, 144, 161, 54, 227, 139, 217, 52, 151, 197, 182, 234, 99, 221, 119, 17, 230, 124, 116, 41, 249, 86, 176, 251, 138, 143, 8, 154, 220, 75, 105, 137, 60, 193, 51, 63, 83, 237, 208, 25, 184, 119, 132, 37, 47, 236, 145, 79, 228, 133, 119, 105, 89, 75, 234, 66, 128, 211, 44, 15, 85, 191, 98, 148, 79, 19, 3, 150, 188, 110, 155, 223, 110, 189, 210, 189, 163, 103, 142, 236, 160, 198, 104, 247, 1, 179, 141, 191, 251, 56, 200, 52, 44, 226, 254, 109, 39, 250, 222, 74, 90, 72, 116, 151, 157, 212, 185, 207, 154, 222, 196, 199, 91, 5, 133, 44, 44, 15, 94, 248, 165, 193, 117, 3, 146, 249, 68, 232, 237, 100, 193, 16, 198, 182, 71, 96, 154, 164, 120, 58, 235, 156, 108, 154, 215, 85, 49, 48, 80, 99, 139, 131, 102, 92, 111, 111, 122, 130, 163, 150, 112, 42, 31, 100, 27, 130, 211, 235, 242, 57, 34, 25, 73, 31, 182, 134, 135, 44, 87, 22, 245, 10, 248, 53, 141, 154, 139, 157, 23, 195, 64, 114, 143, 127, 135, 216, 154, 24, 216, 252, 171, 103, 173, 132, 89, 12, 46, 207, 117, 147, 57, 54, 60, 7, 3, 77, 111, 96, 111, 158, 33, 224, 84, 86, 202, 229, 233, 161] |
e | [1, 0, 1] |
d | [18, 174, 113, 164, 105, 205, 10, 43, 195, 126, 82, 108, 69, 0, 87, 31, 29, 97, 117, 29, 100, 233, 73, 112, 123, 98, 89, 15, 157, 11, 165, 124, 150, 60, 64, 30, 63, 207, 47, 44, 211, 189, 236, 136, 229, 3, 191, 198, 67, 155, 11, 40, 200, 47, 125, 55, 151, 103, 31, 82, 19, 238, 216, 193, 90, 37, 216, 213, 206, 160, 2, 94, 227, 171, 46, 139, 127, 121, 33, 111, 198, 59, 234, 86, 39, 83, 180, 6, 68, 198, 161, 81, 39, 217, 178, 149, 69, 64, 160, 187, 225, 163, 5, 86, 152, 45, 78, 159, 222, 95, 100, 37, 241, 77, 75, 113, 52, 65, 181, 93, 199, 59, 155, 74, 237, 204, 146, 172, 227, 146, 126, 55, 245, 125, 12, 253, 94, 117, 129, 250, 81, 44, 143, 73, 97, 169, 235, 11, 128, 248, 168, 7, 70, 114, 138, 85, 255, 70, 71, 31, 52, 37, 6, 59, 157, 83, 100, 47, 94, 222, 30, 132, 214, 19, 8, 26, 250, 92, 34, 208, 81, 40, 91, 214, 59, 148, 59, 86, 93, 137, 138, 5, 104, 84, 19, 229, 60, 60, 108, 101, 37, 255, 31, 227, 78, 61, 220, 112, 240, 213, 100, 80, 253, 164, 139, 161, 46, 16, 78, 157, 235, 159, 184, 24, 129, 225, 196, 189, 242, 93, 146, 71, 244, 80, 200, 101, 146, 121, 104, 231, 115, 52, 244, 65, 79, 117, 167, 80, 225, 57, 84, 110, 58, 138, 115, 157] |
The RSA private key (n, d) is then passed to the RSA signing function, which also takes the hash type, SHA-256, and the UTF-8 representation of the JWS Signing Input as inputs. The result of the signature is a byte array S, which represents a big endian integer. In this example, S is:
Result Name | Value |
---|---|
S | [112, 46, 33, 137, 67, 232, 143, 209, 30, 181, 216, 45, 191, 120, 69, 243, 65, 6, 174, 27, 129, 255, 247, 115, 17, 22, 173, 209, 113, 125, 131, 101, 109, 66, 10, 253, 60, 150, 238, 221, 115, 162, 102, 62, 81, 102, 104, 123, 0, 11, 135, 34, 110, 1, 135, 237, 16, 115, 249, 69, 229, 130, 173, 252, 239, 22, 216, 90, 121, 142, 232, 198, 109, 219, 61, 184, 151, 91, 23, 208, 148, 2, 190, 237, 213, 217, 217, 112, 7, 16, 141, 178, 129, 96, 213, 248, 4, 12, 167, 68, 87, 98, 184, 31, 190, 127, 249, 217, 46, 10, 231, 111, 36, 242, 91, 51, 187, 230, 244, 74, 230, 30, 177, 4, 10, 203, 32, 4, 77, 62, 249, 18, 142, 212, 1, 48, 121, 91, 212, 189, 59, 65, 238, 202, 208, 102, 171, 101, 25, 129, 253, 228, 141, 247, 127, 55, 45, 195, 139, 159, 175, 221, 59, 239, 177, 139, 93, 163, 204, 60, 46, 176, 47, 158, 58, 65, 214, 18, 202, 173, 21, 145, 18, 115, 160, 95, 35, 185, 232, 56, 250, 175, 132, 157, 105, 132, 41, 239, 90, 30, 136, 121, 130, 54, 195, 212, 14, 96, 69, 34, 165, 68, 200, 242, 122, 122, 45, 184, 6, 99, 209, 108, 247, 202, 234, 86, 222, 64, 92, 178, 33, 90, 69, 178, 194, 85, 102, 181, 90, 193, 167, 72, 160, 112, 223, 200, 163, 42, 70, 149, 67, 208, 25, 238, 251, 71] |
Base64url encoding the signature produces this value for the Encoded JWS Signature (with line breaks for display purposes only):
cC4hiUPoj9Eetdgtv3hF80EGrhuB__dzERat0XF9g2VtQgr9PJbu3XOiZj5RZmh7 AAuHIm4Bh-0Qc_lF5YKt_O8W2Fp5jujGbds9uJdbF9CUAr7t1dnZcAcQjbKBYNX4 BAynRFdiuB--f_nZLgrnbyTyWzO75vRK5h6xBArLIARNPvkSjtQBMHlb1L07Qe7K 0GarZRmB_eSN9383LcOLn6_dO--xi12jzDwusC-eOkHWEsqtFZESc6BfI7noOPqv hJ1phCnvWh6IeYI2w9QOYEUipUTI8np6LbgGY9Fs98rqVt5AXLIhWkWywlVmtVrB p0igcN_IoypGlUPQGe77Rw
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Decoding the JWS from this example requires processing the Encoded JWS Header and Encoded JWS Payload exactly as done in the first example.
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Since the alg parameter in the header is "RS256", we validate the RSA SHA-256 signature contained in the JWS Signature. If any of the validation steps fail, the signed content MUST be rejected.
First, we validate that the JWS Header string is legal JSON.
Validating the JWS Signature is a little different from the previous example. First, we base64url decode the Encoded JWS Signature to produce a signature S to check. We then pass (n, e), S and the UTF-8 representation of the JWS Signing Input to an RSA signature verifier that has been configured to use the SHA-256 hash function.
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The JWS Header for this example differs from the previous example because a different algorithm is being used. The JWS Header used is:
{"alg":"ES256"}
The following byte array contains the UTF-8 characters for the JWS Header:
[123, 34, 97, 108, 103, 34, 58, 34, 69, 83, 50, 53, 54, 34, 125]
Base64url encoding this UTF-8 representation yields this Encoded JWS Header value:
eyJhbGciOiJFUzI1NiJ9
The JWS Payload used in this example, which follows, is the same as in the previous examples. Since the Encoded JWS Payload will therefore be the same, its computation is not repeated here.
{"iss":"joe", "exp":1300819380, "http://example.com/is_root":true}
Concatenating the Encoded JWS Header, a period character, and the Encoded JWS Payload yields this JWS Signing Input value (with line breaks for display purposes only):
eyJhbGciOiJFUzI1NiJ9 . eyJpc3MiOiJqb2UiLA0KICJleHAiOjEzMDA4MTkzODAsDQogImh0dHA6Ly9leGFt cGxlLmNvbS9pc19yb290Ijp0cnVlfQ
The UTF-8 representation of the JWS Signing Input is the following byte array:
[101, 121, 74, 104, 98, 71, 99, 105, 79, 105, 74, 70, 85, 122, 73, 49, 78, 105, 74, 57, 46, 101, 121, 74, 112, 99, 51, 77, 105, 79, 105, 74, 113, 98, 50, 85, 105, 76, 65, 48, 75, 73, 67, 74, 108, 101, 72, 65, 105, 79, 106, 69, 122, 77, 68, 65, 52, 77, 84, 107, 122, 79, 68, 65, 115, 68, 81, 111, 103, 73, 109, 104, 48, 100, 72, 65, 54, 76, 121, 57, 108, 101, 71, 70, 116, 99, 71, 120, 108, 76, 109, 78, 118, 98, 83, 57, 112, 99, 49, 57, 121, 98, 50, 57, 48, 73, 106, 112, 48, 99, 110, 86, 108, 102, 81]
The ECDSA key consists of a public part, the EC point (x, y), and a private part d. The values of the ECDSA key used in this example, presented as the byte arrays representing big endian integers are:
Parameter Name | Value |
---|---|
x | [127, 205, 206, 39, 112, 246, 196, 93, 65, 131, 203, 238, 111, 219, 75, 123, 88, 7, 51, 53, 123, 233, 239, 19, 186, 207, 110, 60, 123, 209, 84, 69] |
y | [199, 241, 68, 205, 27, 189, 155, 126, 135, 44, 223, 237, 185, 238, 185, 244, 179, 105, 93, 110, 169, 11, 36, 173, 138, 70, 35, 40, 133, 136, 229, 173] |
d | [142, 155, 16, 158, 113, 144, 152, 191, 152, 4, 135, 223, 31, 93, 119, 233, 203, 41, 96, 110, 190, 210, 38, 59, 95, 87, 194, 19, 223, 132, 244, 178] |
The ECDSA private part d is then passed to an ECDSA signing function, which also takes the curve type, P-256, the hash type, SHA-256, and the UTF-8 representation of the JWS Signing Input as inputs. The result of the signature is the EC point (R, S), where R and S are unsigned integers. In this example, the R and S values, given as byte arrays representing big endian integers are:
Result Name | Value |
---|---|
R | [14, 209, 33, 83, 121, 99, 108, 72, 60, 47, 127, 21, 88, 7, 212, 2, 163, 178, 40, 3, 58, 249, 124, 126, 23, 129, 154, 195, 22, 158, 166, 101] |
S | [197, 10, 7, 211, 140, 60, 112, 229, 216, 241, 45, 175, 8, 74, 84, 128, 166, 101, 144, 197, 242, 147, 80, 154, 143, 63, 127, 138, 131, 163, 84, 213] |
Concatenating the S array to the end of the R array and base64url encoding the result produces this value for the Encoded JWS Signature (with line breaks for display purposes only):
DtEhU3ljbEg8L38VWAfUAqOyKAM6-Xx-F4GawxaepmXFCgfTjDxw5djxLa8ISlSA pmWQxfKTUJqPP3-Kg6NU1Q
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Decoding the JWS from this example requires processing the Encoded JWS Header and Encoded JWS Payload exactly as done in the first example.
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Since the alg parameter in the header is "ES256", we validate the ECDSA P-256 SHA-256 signature contained in the JWS Signature. If any of the validation steps fail, the signed content MUST be rejected.
First, we validate that the JWS Header string is legal JSON.
Validating the JWS Signature is a little different from the first example. First, we base64url decode the Encoded JWS Signature as in the previous examples but we then need to split the 64 member byte array that must result into two 32 byte arrays, the first R and the second S. We then pass (x, y), (R, S) and the UTF-8 representation of the JWS Signing Input to an ECDSA signature verifier that has been configured to use the P-256 curve with the SHA-256 hash function.
As explained in Section 6.3 (Creating a JWS with ECDSA P-256 SHA-256, ECDSA P-384 SHA-384, or ECDSA P-521 SHA-512), the use of the k value in ECDSA means that we cannot validate the correctness of the signature in the same way we validated the correctness of the HMAC. Instead, implementations MUST use an ECDSA validator to validate the signature.
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This appendix contains a table cross-referencing the alg values used in this specification with the equivalent identifiers used by other standards and software packages. See XML DSIG (Eastlake, D., Reagle, J., and D. Solo, “(Extensible Markup Language) XML-Signature Syntax and Processing,” March 2002.) [RFC3275] and Java Cryptography Architecture (Oracle, “Java Cryptography Architecture,” 2011.) [JCA] for more information about the names defined by those documents.
Algorithm | JWS | XML DSIG | JCA | OID |
---|---|---|---|---|
HMAC using SHA-256 hash algorithm | HS256 | http://www.w3.org/2001/04/xmldsig-more#hmac-sha256 | HmacSHA256 | 1.2.840.113549.2.9 |
HMAC using SHA-384 hash algorithm | HS384 | http://www.w3.org/2001/04/xmldsig-more#hmac-sha384 | HmacSHA384 | 1.2.840.113549.2.10 |
HMAC using SHA-512 hash algorithm | HS512 | http://www.w3.org/2001/04/xmldsig-more#hmac-sha512 | HmacSHA512 | 1.2.840.113549.2.11 |
RSA using SHA-256 hash algorithm | RS256 | http://www.w3.org/2001/04/xmldsig-more#rsa-sha256 | SHA256withRSA | 1.2.840.113549.1.1.11 |
RSA using SHA-384 hash algorithm | RS384 | http://www.w3.org/2001/04/xmldsig-more#rsa-sha384 | SHA384withRSA | 1.2.840.113549.1.1.12 |
RSA using SHA-512 hash algorithm | RS512 | http://www.w3.org/2001/04/xmldsig-more#rsa-sha512 | SHA512withRSA | 1.2.840.113549.1.1.13 |
ECDSA using P-256 curve and SHA-256 hash algorithm | ES256 | http://www.w3.org/2001/04/xmldsig-more#ecdsa-sha256 | SHA256withECDSA | 1.2.840.10045.4.3.2 |
ECDSA using P-384 curve and SHA-384 hash algorithm | ES384 | http://www.w3.org/2001/04/xmldsig-more#ecdsa-sha384 | SHA384withECDSA | 1.2.840.10045.4.3.3 |
ECDSA using P-521 curve and SHA-512 hash algorithm | ES512 | http://www.w3.org/2001/04/xmldsig-more#ecdsa-sha512 | SHA512withECDSA | 1.2.840.10045.4.3.4 |
Table 4: Algorithm Identifier Cross-Reference |
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This appendix describes how to implement base64url encoding and decoding functions without padding based upon standard base64 encoding and decoding functions that do use padding.
To be concrete, example C# code implementing these functions is shown below. Similar code could be used in other languages.
static string base64urlencode(byte [] arg) { string s = Convert.ToBase64String(arg); // Standard base64 encoder s = s.Split('=')[0]; // Remove any trailing '='s s = s.Replace('+', '-'); // 62nd char of encoding s = s.Replace('/', '_'); // 63rd char of encoding return s; } static byte [] base64urldecode(string arg) { string s = arg; s = s.Replace('-', '+'); // 62nd char of encoding s = s.Replace('_', '/'); // 63rd char of encoding switch (s.Length % 4) // Pad with trailing '='s { case 0: break; // No pad chars in this case case 2: s += "=="; break; // Two pad chars case 3: s += "="; break; // One pad char default: throw new System.Exception( "Illegal base64url string!"); } return Convert.FromBase64String(s); // Standard base64 decoder }
As per the example code above, the number of '=' padding characters that needs to be added to the end of a base64url encoded string without padding to turn it into one with padding is a deterministic function of the length of the encoded string. Specifically, if the length mod 4 is 0, no padding is added; if the length mod 4 is 2, two '=' padding characters are added; if the length mod 4 is 3, one '=' padding character is added; if the length mod 4 is 1, the input is malformed.
An example correspondence between unencoded and encoded values follows. The byte sequence below encodes into the string below, which when decoded, reproduces the byte sequence.
3 236 255 224 193
A-z_4ME
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Solutions for signing JSON content were previously explored by Magic Signatures (Panzer (editor), J., Laurie, B., and D. Balfanz, “Magic Signatures,” August 2010.) [MagicSignatures], JSON Simple Sign (Bradley, J. and N. Sakimura (editor), “JSON Simple Sign,” September 2010.) [JSS], and Canvas Applications (Facebook, “Canvas Applications,” 2010.) [CanvasApp], all of which influenced this draft.
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Michael B. Jones | |
Microsoft | |
Email: | mbj@microsoft.com |
URI: | http://self-issued.info/ |
Dirk Balfanz | |
Email: | balfanz@google.com |
John Bradley | |
independent | |
Email: | ve7jtb@ve7jtb.com |
Yaron Y. Goland | |
Microsoft | |
Email: | yarong@microsoft.com |
John Panzer | |
Email: | jpanzer@google.com |
Nat Sakimura | |
Nomura Research Institute | |
Email: | n-sakimura@nri.co.jp |
Paul Tarjan | |
Email: | pt@fb.com |