File: CVE-2022-24773.patch

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Description: fix signature verification issues (CVE-2022-24771, CVE-2022-24772, CVE-2022-24773)
 **SECURITY**: Three RSA PKCS#1 v1.5 signature verification issues were
 reported by Moosa Yahyazadeh (moosa-yahyazadeh@uiowa.edu):
 .
 - Leniency in checking `digestAlgorithm` structure can lead to signature
   forgery.
   - The code is lenient in checking the digest algorithm structure. This can
     allow a crafted structure that steals padding bytes and uses unchecked
     portion of the PKCS#1 encoded message to forge a signature when a low
     public exponent is being used.
 - Failing to check tailing garbage bytes can lead to signature forgery.
   - The code does not check for tailing garbage bytes after decoding a
     `DigestInfo` ASN.1 structure. This can allow padding bytes to be removed
     and garbage data added to forge a signature when a low public exponent is
     being used.
 - Leniency in checking type octet.
   - `DigestInfo` is not properly checked for proper ASN.1 structure. This can
     lead to successful verification with signatures that contain invalid
     structures but a valid digest.
 .
 For more information, please see "Bleichenbacher's RSA signature forgery based
 on implementation error" by Hal Finney:
 https://mailarchive.ietf.org/arch/msg/openpgp/5rnE9ZRN1AokBVj3VqblGlP63QE/
 .
 Fixed with the following:
 .
 - [asn1] `fromDer` is now more strict and will default to ensuring all
   input bytes are parsed or throw an error. A new option `parseAllBytes`
   can disable this behavior.
   - **NOTE**: The previous behavior is being changed since it can lead
     to security issues with crafted inputs. It is possible that code
     doing custom DER parsing may need to adapt to this new behavior and
     optional flag.
 - [rsa] Add and use a validator to check for proper structure of parsed
   ASN.1 `RSASSA-PKCS-v1_5` `DigestInfo` data. Additionally check that
   the hash algorithm identifier is a known value. An invalid
   `DigestInfo` or algorithm identifier will now cause an error to be
   thrown.
 - [oid] Added `1.2.840.113549.2.2` / `md2` for hash algorithm checking.
 - [tests] Tests were added for all of the reported issues. A private
   verify option was added to assist in checking multiple possible
   failures in the test data.
Author: David I. Lehn <dlehn@digitalbazaar.com>
Origin: upstream, https://github.com/digitalbazaar/forge/commit/3f0b49a0
Bug:
 https://github.com/digitalbazaar/forge/security/advisories/GHSA-cfm4-qjh2-4765
 https://github.com/digitalbazaar/forge/security/advisories/GHSA-x4jg-mjrx-434g
 https://github.com/digitalbazaar/forge/security/advisories/GHSA-2r2c-g63r-vccr
Forwarded: not-needed
Reviewed-By: Yadd <yadd@debian.org>
Last-Update: 2022-03-23

--- a/lib/asn1.js
+++ b/lib/asn1.js
@@ -411,6 +411,8 @@
  * @param [options] object with options or boolean strict flag
  *          [strict] true to be strict when checking value lengths, false to
  *            allow truncated values (default: true).
+ *          [parseAllBytes] true to ensure all bytes are parsed
+ *            (default: true)
  *          [decodeBitStrings] true to attempt to decode the content of
  *            BIT STRINGs (not OCTET STRINGs) using strict mode. Note that
  *            without schema support to understand the data context this can
@@ -418,24 +420,31 @@
  *            flag will be deprecated or removed as soon as schema support is
  *            available. (default: true)
  *
+ * @throws Will throw an error for various malformed input conditions.
+ *
  * @return the parsed asn1 object.
  */
 asn1.fromDer = function(bytes, options) {
   if(options === undefined) {
     options = {
       strict: true,
+      parseAllBytes: true,
       decodeBitStrings: true
     };
   }
   if(typeof options === 'boolean') {
     options = {
       strict: options,
+      parseAllBytes: true,
       decodeBitStrings: true
     };
   }
   if(!('strict' in options)) {
     options.strict = true;
   }
+  if(!('parseAllBytes' in options)) {
+    options.parseAllBytes = true;
+  }
   if(!('decodeBitStrings' in options)) {
     options.decodeBitStrings = true;
   }
@@ -445,7 +454,15 @@
     bytes = forge.util.createBuffer(bytes);
   }
 
-  return _fromDer(bytes, bytes.length(), 0, options);
+  var byteCount = bytes.length();
+  var value = _fromDer(bytes, bytes.length(), 0, options);
+  if(options.parseAllBytes && bytes.length() !== 0) {
+    var error = new Error('Unparsed DER bytes remain after ASN.1 parsing.');
+    error.byteCount = byteCount;
+    error.remaining = bytes.length();
+    throw error;
+  }
+  return value;
 };
 
 /**
@@ -566,7 +583,6 @@
         start = bytes.length();
         var subOptions = {
           // enforce strict mode to avoid parsing ASN.1 from plain data
-          verbose: options.verbose,
           strict: true,
           decodeBitStrings: true
         };
@@ -615,6 +631,7 @@
       }
     } else {
       value = bytes.getBytes(length);
+      remaining -= length;
     }
   }
 
@@ -1391,7 +1408,16 @@
       }
       rval += '0x' + forge.util.bytesToHex(obj.value);
     } else if(obj.type === asn1.Type.UTF8) {
-      rval += forge.util.decodeUtf8(obj.value);
+      try {
+        rval += forge.util.decodeUtf8(obj.value);
+      } catch(e) {
+        if(e.message === 'URI malformed') {
+          rval +=
+            '0x' + forge.util.bytesToHex(obj.value) + ' (malformed UTF8)';
+        } else {
+          throw e;
+        }
+      }
     } else if(obj.type === asn1.Type.PRINTABLESTRING ||
       obj.type === asn1.Type.IA5String) {
       rval += obj.value;
--- a/lib/oids.js
+++ b/lib/oids.js
@@ -43,6 +43,10 @@
 _IN('2.16.840.1.101.3.4.2.1', 'sha256');
 _IN('2.16.840.1.101.3.4.2.2', 'sha384');
 _IN('2.16.840.1.101.3.4.2.3', 'sha512');
+_IN('2.16.840.1.101.3.4.2.4', 'sha224');
+_IN('2.16.840.1.101.3.4.2.5', 'sha512-224');
+_IN('2.16.840.1.101.3.4.2.6', 'sha512-256');
+_IN('1.2.840.113549.2.2', 'md2');
 _IN('1.2.840.113549.2.5', 'md5');
 
 // pkcs#7 content types
--- a/lib/rsa.js
+++ b/lib/rsa.js
@@ -265,6 +265,40 @@
   }]
 };
 
+// validator for a DigestInfo structure
+var digestInfoValidator = {
+  name: 'DigestInfo',
+  tagClass: asn1.Class.UNIVERSAL,
+  type: asn1.Type.SEQUENCE,
+  constructed: true,
+  value: [{
+    name: 'DigestInfo.DigestAlgorithm',
+    tagClass: asn1.Class.UNIVERSAL,
+    type: asn1.Type.SEQUENCE,
+    constructed: true,
+    value: [{
+      name: 'DigestInfo.DigestAlgorithm.algorithmIdentifier',
+      tagClass: asn1.Class.UNIVERSAL,
+      type: asn1.Type.OID,
+      constructed: false,
+      capture: 'algorithmIdentifier'
+    }, {
+      // NULL paramters
+      name: 'DigestInfo.DigestAlgorithm.parameters',
+      tagClass: asn1.Class.UNIVERSAL,
+      type: asn1.Type.NULL,
+      constructed: false
+    }]
+  }, {
+    // digest
+    name: 'DigestInfo.digest',
+    tagClass: asn1.Class.UNIVERSAL,
+    type: asn1.Type.OCTETSTRING,
+    constructed: false,
+    capture: 'digest'
+  }]
+};
+
 /**
  * Wrap digest in DigestInfo object.
  *
@@ -1092,15 +1126,27 @@
    *          a Forge PSS object for RSASSA-PSS,
    *          'NONE' or null for none, DigestInfo will not be expected, but
    *            PKCS#1 v1.5 padding will still be used.
+   * @param options optional verify options
+   *          _parseAllDigestBytes testing flag to control parsing of all
+   *            digest bytes. Unsupported and not for general usage.
+   *            (default: true)
    *
    * @return true if the signature was verified, false if not.
    */
-   key.verify = function(digest, signature, scheme) {
+   key.verify = function(digest, signature, scheme, options) {
      if(typeof scheme === 'string') {
        scheme = scheme.toUpperCase();
      } else if(scheme === undefined) {
        scheme = 'RSASSA-PKCS1-V1_5';
      }
+     if(options === undefined) {
+       options = {
+         _parseAllDigestBytes: true
+       };
+     }
+     if(!('_parseAllDigestBytes' in options)) {
+       options._parseAllDigestBytes = true;
+     }
 
      if(scheme === 'RSASSA-PKCS1-V1_5') {
        scheme = {
@@ -1108,9 +1154,41 @@
            // remove padding
            d = _decodePkcs1_v1_5(d, key, true);
            // d is ASN.1 BER-encoded DigestInfo
-           var obj = asn1.fromDer(d);
+           var obj = asn1.fromDer(d, {
+             parseAllBytes: options._parseAllDigestBytes
+           });
+
+           // validate DigestInfo
+           var capture = {};
+           var errors = [];
+           if(!asn1.validate(obj, digestInfoValidator, capture, errors)) {
+             var error = new Error(
+               'ASN.1 object does not contain a valid RSASSA-PKCS1-v1_5 ' +
+               'DigestInfo value.');
+             error.errors = errors;
+             throw error;
+           }
+           // check hash algorithm identifier
+           // see PKCS1-v1-5DigestAlgorithms in RFC 8017
+           // FIXME: add support to vaidator for strict value choices
+           var oid = asn1.derToOid(capture.algorithmIdentifier);
+           if(!(oid === forge.oids.md2 ||
+             oid === forge.oids.md5 ||
+             oid === forge.oids.sha1 ||
+             oid === forge.oids.sha224 ||
+             oid === forge.oids.sha256 ||
+             oid === forge.oids.sha384 ||
+             oid === forge.oids.sha512 ||
+             oid === forge.oids['sha512-224'] ||
+             oid === forge.oids['sha512-256'])) {
+             var error = new Error(
+               'Unknown RSASSA-PKCS1-v1_5 DigestAlgorithm identifier.');
+             error.oid = oid;
+             throw error;
+           }
+
            // compare the given digest to the decrypted one
-           return digest === obj.value[1].value;
+           return digest === capture.digest;
          }
        };
      } else if(scheme === 'NONE' || scheme === 'NULL' || scheme === null) {
--- a/tests/unit/rsa.js
+++ b/tests/unit/rsa.js
@@ -1,5 +1,6 @@
 var ASSERT = require('assert');
 var FORGE = require('../../lib/forge');
+var JSBN = require('../../lib/jsbn');
 var MD = require('../../lib/md.all');
 var MGF = require('../../lib/mgf');
 var PKI = require('../../lib/pki');
@@ -773,5 +774,373 @@
         });
       }
     })();
+
+    describe('signature verification', function() {
+
+      // NOTE: Tests in this section, and associated fixes, are largely derived
+      // from a detailed vulnerability report provided by Moosa Yahyazadeh
+      // (moosa-yahyazadeh@uiowa.edu).
+
+      // params for tests
+
+      // public modulus / 256 bytes
+      var N = new JSBN.BigInteger(
+        'E932AC92252F585B3A80A4DD76A897C8B7652952FE788F6EC8DD640587A1EE56' +
+        '47670A8AD4C2BE0F9FA6E49C605ADF77B5174230AF7BD50E5D6D6D6D28CCF0A8' +
+        '86A514CC72E51D209CC772A52EF419F6A953F3135929588EBE9B351FCA61CED7' +
+        '8F346FE00DBB6306E5C2A4C6DFC3779AF85AB417371CF34D8387B9B30AE46D7A' +
+        '5FF5A655B8D8455F1B94AE736989D60A6F2FD5CADBFFBD504C5A756A2E6BB5CE' +
+        'CC13BCA7503F6DF8B52ACE5C410997E98809DB4DC30D943DE4E812A47553DCE5' +
+        '4844A78E36401D13F77DC650619FED88D8B3926E3D8E319C80C744779AC5D6AB' +
+        'E252896950917476ECE5E8FC27D5F053D6018D91B502C4787558A002B9283DA7',
+        16);
+
+      // private exponent
+      var d = new JSBN.BigInteger(
+        '009b771db6c374e59227006de8f9c5ba85cf98c63754505f9f30939803afc149' +
+        '8eda44b1b1e32c7eb51519edbd9591ea4fce0f8175ca528e09939e48f37088a0' +
+        '7059c36332f74368c06884f718c9f8114f1b8d4cb790c63b09d46778bfdc4134' +
+        '8fb4cd9feab3d24204992c6dd9ea824fbca591cd64cf68a233ad0526775c9848' +
+        'fafa31528177e1f8df9181a8b945081106fd58bd3d73799b229575c4f3b29101' +
+        'a03ee1f05472b3615784d9244ce0ed639c77e8e212ab52abddf4a928224b6b6f' +
+        '74b7114786dd6071bd9113d7870c6b52c0bc8b9c102cfe321dac357e030ed6c5' +
+        '80040ca41c13d6b4967811807ef2a225983ea9f88d67faa42620f42a4f5bdbe0' +
+        '3b',
+        16);
+
+      // public exponent
+      var e = new JSBN.BigInteger('3');
+
+      // hash function
+      // H = SHA-256 (OID = 0x608648016503040201)
+
+      // message
+      var m = 'hello world!';
+
+      // to-be-signed RSA PKCS#1 v1.5 signature scheme input structure
+      // I
+
+      // signature value obtained by I^d mod N
+      // S
+
+      function _checkBadTailingGarbage(publicKey, S) {
+        var md = MD.sha256.create();
+        md.update(m);
+
+        ASSERT.throws(function() {
+          publicKey.verify(md.digest().getBytes(), S);
+        },
+        /^Error: Unparsed DER bytes remain after ASN.1 parsing.$/);
+      }
+
+      function _checkBadDigestInfo(publicKey, S, skipTailingGarbage) {
+        var md = MD.sha256.create();
+        md.update(m);
+
+        ASSERT.throws(function() {
+          publicKey.verify(md.digest().getBytes(), S, undefined, {
+            _parseAllDigestBytes: !skipTailingGarbage
+          });
+        },
+        /^Error: ASN.1 object does not contain a valid RSASSA-PKCS1-v1_5 DigestInfo value.$/);
+      }
+
+      it('should check DigestInfo structure', function() {
+        var publicKey = RSA.setPublicKey(N, e);
+        // 0xff bytes stolen from padding
+        // unchecked portion of PKCS#1 encoded message used to forge a
+        // signature when low public exponent is being used.
+        // See "Bleichenbacher's RSA signature forgery based on implementation
+        // error" by Hal Finney
+        // https://mailarchive.ietf.org/arch/msg/openpgp/5rnE9ZRN1AokBVj3VqblGlP63QE/
+
+        // 91 garbage byte injected as the value of a TLV replaced digest
+        // algorithm structure
+        var I = UTIL.binary.hex.decode(
+          '0001ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
+          'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
+          'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
+          'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff0030' +
+          '7f065b8888888888888888888888888888888888888888888888888888888888' +
+          '8888888888888888888888888888888888888888888888888888888888888888' +
+          '8888888888888888888888888888888888888888888888888888888888880420' +
+          '7509e5bda0c762d2bac7f90d758b5b2263fa01ccbc542ab5e3df163be08e6ca9');
+        var S = UTIL.binary.hex.decode(
+          'e7410e05bdc38d1c72fab784be41df3d3de2ae83894d9ec86cb5fe343d5dc7d4' +
+          '5df2a36fc60363faf32f0d37ab457648af40a48a6c53ae7af0575e92cb1ffc23' +
+          '6d55e1325af8c71b3ac313f2630fb498b8e1546093aca1ed56026a96cb525d99' +
+          '1159a2d6ccbfd5ef63ae718f8ace2469e357ccf3f6a048bbf9760f5fb36b9dd3' +
+          '8fb330eab504f05078b83f5d8bd95dce8fccc6b46babd56f678300f2b39083e5' +
+          '3e04e79f503358a6222f8dd66b561fea3a51ecf3be16c9e2ea6ba8aaed9fbe6b' +
+          'a510ff752e4529385f759d4d6120b15f65534248ed5bbb1307a7d0a983832969' +
+          '7f5fbae91f48e478dcbb77190f0d173b6cb8b1299cf4202570d25d11a7862b47');
+
+        _checkBadDigestInfo(publicKey, S);
+      });
+
+      it('should check tailing garbage and DigestInfo [1]', function() {
+        var publicKey = RSA.setPublicKey(N, e);
+        // bytes stolen from padding and unchecked tailing bytes used to forge
+        // a signature when low public exponent is used
+
+        // 204 tailing garbage bytes injected after DigestInfo structure
+        var I = UTIL.binary.hex.decode(
+          '000100302f300b060960864801650304020104207509e5bda0c762d2bac7f90d' +
+          '758b5b2263fa01ccbc542ab5e3df163be08e6ca9888888888888888888888888' +
+          '8888888888888888888888888888888888888888888888888888888888888888' +
+          '8888888888888888888888888888888888888888888888888888888888888888' +
+          '8888888888888888888888888888888888888888888888888888888888888888' +
+          '8888888888888888888888888888888888888888888888888888888888888888' +
+          '8888888888888888888888888888888888888888888888888888888888888888' +
+          '8888888888888888888888888888888888888888888888888888888888888888');
+        var S = UTIL.binary.hex.decode(
+          'c2ad2fa23c246ee98c453d69023e7ec05956b48bd0e287341ba9d342ad49b0ff' +
+          'f2bcbb9adc50f1ccbfc54106305cc74a88db89ff94901a08359893a08426373e' +
+          '7949a8794798233445af6c48bc6ccbe278bdeb62c31e40c3bf0014af2faadcc9' +
+          'ed7885756789a5b95c2a355fbb3f04412f42e0f9ed335ab51af8f091a62aaaaf' +
+          '6577422220917daaece3ca2f4e66dc4e0574356762592052b406768c31c25cf4' +
+          'c1754e6da9dc3440e238c4f9b25cccc174dd1b17b027e0f9ce2763b86f0e6871' +
+          '690ddd018d2e774bc968c9c6e907a000daf5044ba31a0b9eefbd7b4b1ec466d2' +
+          '0bc1dd3f020cb1091af6b476416da3024ea046b09fbbbc4d2355da9a2bc6ddb9');
+
+        _checkBadTailingGarbage(publicKey, S);
+        _checkBadDigestInfo(publicKey, S, true);
+      });
+
+      it('should check tailing garbage and DigestInfo [2]', function() {
+        var publicKey = RSA.setPublicKey(N, e);
+        // bytes stolen from padding and unchecked tailing bytes used to forge
+        // a signature when low public exponent is used
+
+        // 215 tailing garbage bytes injected after DigestInfo structure
+        // unchecked digest algorithm structure
+        // combined with earlier issue
+        var I = UTIL.binary.hex.decode(
+          '0001003024010004207509e5bda0c762d2bac7f90d758b5b2263fa01ccbc542a' +
+          'b5e3df163be08e6ca98888888888888888888888888888888888888888888888' +
+          '8888888888888888888888888888888888888888888888888888888888888888' +
+          '8888888888888888888888888888888888888888888888888888888888888888' +
+          '8888888888888888888888888888888888888888888888888888888888888888' +
+          '8888888888888888888888888888888888888888888888888888888888888888' +
+          '8888888888888888888888888888888888888888888888888888888888888888' +
+          '8888888888888888888888888888888888888888888888888888888888888888');
+        var S = UTIL.binary.hex.decode(
+          'a7c5812d7fc0eef766a481aac18c8c48483daf9b5ffb6614bd98ebe4ecb746dd' +
+          '493cf5dd2cbe16ecaa0b52109b744930eda49316605fc823fd57a68b5b2c62e8' +
+          'c1b158b26e1547a2e33cdd79427d7c513f07d02261ffe43db197d8cddca2b5b4' +
+          '3c1df85aaed6e91aadd44a46bff7f5c70f1acc1a193917e3908444632f30e69c' +
+          'fe95d8036d3b6ad318eefd3952804f16613c969e6d13604bb4e723dfad24c42c' +
+          '8d9b5b16a9f5a4b40dcf17b167d319017740f9cc0836436c14d51c3d8a697f1f' +
+          'a2b65196deb5c21b1559c7dea7f598007fa7320909825009f8bf376491c298d8' +
+          '155a382e967042db952e995d14b2f961e1b22f911d1b77895def1c7ef229c87e');
+
+        _checkBadTailingGarbage(publicKey, S);
+        _checkBadDigestInfo(publicKey, S, true);
+      });
+
+      it('should check tailing garbage and DigestInfo [e=3]', function() {
+        // signature forged without knowledge of private key for given message
+        // and low exponent e=3
+
+        // test data computed from a script
+        var N = new JSBN.BigInteger(
+          '2943851338959486749023220128247883872673446416188780128906858510' +
+          '0507839535636256317277708295678804401391394313946142335874609638' +
+          '6660819509361141525748702240343825617847432837639613499808068190' +
+          '7802897559477710338828027239284411238090037450817022107555351764' +
+          '1170327441791034393719271744724924194371070527213991317221667249' +
+          '0779727008421990374037994805699108447010306443226160454080397152' +
+          '7839457232809919202392450307767317822761454935119120485180507635' +
+          '9472439160130994385433568113626206477097769842080459156024112389' +
+          '4062006872333417793816670825914214968706669312685485046743622307' +
+          '25756397511775557878046572472650613407143');
+        var e = new JSBN.BigInteger('3');
+        var publicKey = RSA.setPublicKey(N, e);
+
+        var S = UTIL.binary.hex.decode(
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '00000000000000000000002853ccc2cd32a8d430dd3bde37e70782ac82cdb7bc' +
+          'e3c044219b50aefd689c20d3b840299f28e2fde6c67c8a7f9e528ac222fae947' +
+          'a6dee0d812e3c3b3452171717396e8bedc3132d92d8317e3593642640d1431ef');
+
+        _checkBadTailingGarbage(publicKey, S);
+        _checkBadDigestInfo(publicKey, S, true);
+      });
+
+      it('should check tailing garbage and DigestInfo [e=5]', function() {
+        // signature forged without knowledge of private key for given message
+        // and low exponent e=5
+
+        // test data computed from a script
+        var N = new JSBN.BigInteger(
+          '2943851338959486749023220128247883872673446416188780128906858510' +
+          '0507839535636256317277708295678804401391394313946142335874609638' +
+          '6660819509361141525748702240343825617847432837639613499808068190' +
+          '7802897559477710338828027239284411238090037450817022107555351764' +
+          '1170327441791034393719271744724924194371070527213991317221667249' +
+          '0779727008421990374037994805699108447010306443226160454080397152' +
+          '7839457232809919202392450307767317822761454935119120485180507635' +
+          '9472439160130994385433568113626206477097769842080459156024112389' +
+          '4062006872333417793816670825914214968706669312685485046743622307' +
+          '25756397511775557878046572472650613407143');
+        var e = new JSBN.BigInteger('5');
+        var publicKey = RSA.setPublicKey(N, e);
+
+        var S = UTIL.binary.hex.decode(
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '000000000000000000000000005475fe2681d7125972bd2c2f2c7ab7b8003b03' +
+          'd4a487d6dee07c14eb5212a9fe0071b93f84ba5bb4b0cfaf20c976b11d902013');
+
+        _checkBadTailingGarbage(publicKey, S);
+        _checkBadDigestInfo(publicKey, S, true);
+      });
+
+      it('should check tailing garbage and DigestInfo [e=17]', function() {
+        // signature forged without knowledge of private key for given message
+        // and low exponent e=17
+
+        // test data computed from a script
+        var N = new JSBN.BigInteger(
+          '9283656416612985262941143827717696579056959956800096804440022580' +
+          '8979605519224532102091105159037909758713334182004379540747102163' +
+          '0328875171430160513961779154294247563032373839871165519961382202' +
+          '8118288833646515747631246999476620608496831766892861810215014002' +
+          '6197665341672524640393361361575818164897153768964295647456396149' +
+          '0989544033629566558036444831495046301215543198107208071526376318' +
+          '9614817392787691228850316867637768748063173527415482321108924014' +
+          '0172719575883597580010690402077593789150581979877629529469651667' +
+          '0437057465296389148672556848624501468669295285428387365416747516' +
+          '1806526300547653933352115280843297169178217266705491556199868750' +
+          '3004910766820506445410432860104193197231996634882562129969319354' +
+          '2460060799067674344247887198933507132592770898312271636011037138' +
+          '9847292565155151851533347436854797090854109022697775636916157198' +
+          '8470890850961835279273782642105981947430594900197891694944702901' +
+          '0362775778664826653636547333219983468955600305523140183269580452' +
+          '7928125033990422010817859727072181449684606236639224708148897385' +
+          '6473081641220112881037032407068024585466913055187295801749427746' +
+          '8722193869883705529583737211815974801292292728082721785855274147' +
+          '9919792200010181565600099271483749952360303834740314188025547140' +
+          '4368096941701515529809239068018840617766710102093620675455198522' +
+          '9636814788735090951246816765035721775759652424641736739668936540' +
+          '4502328148572893125899985056273755530380627654934084609415976292' +
+          '9123186604266210829116435949633497856328752368587226250956046322' +
+          '5096226739991402761266388226652661345282274508037924611589455395' +
+          '6555120130786293751868059518231813715612891296160287687335835654' +
+          '3979850800254668550551247800296013251153132326459614458561196296' +
+          '9372672455541953777622436993987703564293487820434112162562492086' +
+          '8651475984366477254452308612460939500200990849949906321025068481' +
+          '9019640785570574553040761725312997166593985384222496507953730319' +
+          '8339986953399517682750248394628026225887174258267456078564070387' +
+          '3276539895054169432261639890044193773631304665663877617572725639' +
+          '9608670862191314058068741469812649057261850985814174869283757023' +
+          '5128900627675422927964369356691123905362222855545719945605604307' +
+          '2632528510813096225692258119794268564646732338755890857736163737' +
+          '9885700134409359441713832300526017978115395080312777381770201653' +
+          '4081581157881295739782000814998795398671806283018844936919299070' +
+          '5625387639000374694851356996772485803653791257029031861749956519' +
+          '3846941219138832785295572786934547608717304766525989212989524778' +
+          '5416834855450881318585909376917039');
+        var e = new JSBN.BigInteger('17');
+        var publicKey = RSA.setPublicKey(N, e);
+
+        var S = UTIL.binary.hex.decode(
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '0000000000000000000000000000000000000000000000000000000000000000' +
+          '00000001eb90acbec1bf590ba1e50960db8381fb5bdc363d46379d09956560a6' +
+          '16b88616ce7fa4309dc45f47f5fa47d61bf66baa3d11732ce71768ded295f962');
+
+        _checkBadTailingGarbage(publicKey, S);
+        _checkBadDigestInfo(publicKey, S, true);
+      });
+
+      it('should check DigestInfo type octet [1]', function() {
+        var publicKey = RSA.setPublicKey(N, e);
+        // incorrect value for digest algorithm's type octet
+        // 0x0c instead of correct 0x06
+        var I = UTIL.binary.hex.decode(
+          '0001ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
+          'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
+          'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
+          'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
+          'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
+          'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
+          'ffffffffffffffffffffffff0030310c0d060960864801650304020105000420' +
+          '7509e5bda0c762d2bac7f90d758b5b2263fa01ccbc542ab5e3df163be08e6ca9');
+        var S = UTIL.binary.hex.decode(
+          'd8298a199e1b6ac18f3c0067a004bd9ff7af87be6ad857d73cc3d24ef06195b8' +
+          '2aaddb0194f8e61fc31453b9163062255e8baf9c480200d0991a5f764f63d5f6' +
+          'afd283b9cd6afe54f0b7f738707b4eb6b8807539bb627e74db87a50413ab18e5' +
+          '04e37975aad1edc612bc8ecad53b81ea249deb5a2acc27e6419c61ab9acec660' +
+          '8f5ae6a2985ba0b6f42d831bc6cce4b044864154b935cf179967d129e0ad8eda' +
+          '9bfbb638121c3ff13c64d439632e62250d4be928a3deb112ef76a025c5d91805' +
+          '1e601878eac0049fc9d82be9ae3475deb7ca515c830c20b91b7bedf2184fef66' +
+          'aea0bde62ccd1659afbfd1342322b095309451b1a87e007e640e368fb68a13c9');
+
+        _checkBadDigestInfo(publicKey, S);
+      });
+
+      it('should check DigestInfo type octet [2]', function() {
+        var publicKey = RSA.setPublicKey(N, e);
+        // incorrect value for hash value's type octet
+        // 0x0a instead of correct 0x04
+        var I = UTIL.binary.hex.decode(
+          '0001ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
+          'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
+          'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
+          'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
+          'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
+          'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff' +
+          'ffffffffffffffffffffffff003031300d060960864801650304020105000a20' +
+          '7509e5bda0c762d2bac7f90d758b5b2263fa01ccbc542ab5e3df163be08e6ca9');
+        var S = UTIL.binary.hex.decode(
+          'c1acdd3aef5f0439c254980295fc0d81b628df00726310a1041d79b5dd94c11d' +
+          '3bcaf0236763c77c25d9ab49522ed2a7d6ea3a4e483a29838acd48f2d60a7902' +
+          '75f4cd46e4b1d09c527a426ec373e8a21746ad3ea541d3b85ba4c303ff793ea8' +
+          'a0a3458e93a7ec42ed66f675d7c299b0817ac95f7f45b2f48c09b3c070171f31' +
+          'a33ac789da9943da5dabcda1c95b42531d45484ac1efde0fe0519077debb9318' +
+          '3e63de8f80d7f3cbfecb03cbb44ac4a2d56699e33fca0663b79ca627755fc4fc' +
+          '684b4ab358a0b4ac5b7e9d0cc18b6ab6300b40781502a1c03d34f31dd19d8119' +
+          '5f8a44bc03a2595a706f06f0cb39b8e3f4afe06675fe7439b057f1200a06f4fd');
+
+        _checkBadDigestInfo(publicKey, S);
+      });
+    });
   });
 })();