| { |
| "algorithm" : "X25519", |
| "generatorVersion" : "0.4.12", |
| "notes" : { |
| "LowOrderPublic" : "Curve25519 or its twist contains some points of low order. This test vector contains a public key with such a point. While many libraries reject such public keys, doing so is not a strict requirement according to RFC 7748.", |
| "Small public key" : "The public key is insecure and does not belong to a valid private key. Some libraries reject such keys.", |
| "Twist" : "Public keys are either points on curve25519 or points on its twist. Implementations may either reject such keys or compute X25519 using the twist. If a point multiplication is performed then it is important that the result is correct, since otherwise attacks with invalid keys are possible." |
| }, |
| "numberOfTests" : 87, |
| "header" : [], |
| "testGroups" : [ |
| { |
| "curve" : "curve25519", |
| "tests" : [ |
| { |
| "tcId" : 1, |
| "comment" : "normal case", |
| "curve" : "curve25519", |
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| "private" : "4852834d9d6b77dadeabaaf2e11dca66d19fe74993a7bec36c6e16a0983feaba", |
| "shared" : "87b7f212b627f7a54ca5e0bcdaddd5389d9de6156cdbcf8ebe14ffbcfb436551", |
| "result" : "valid", |
| "flags" : [] |
| }, |
| { |
| "tcId" : 2, |
| "comment" : "normal case", |
| "curve" : "curve25519", |
| "public" : "9c647d9ae589b9f58fdc3ca4947efbc915c4b2e08e744a0edf469dac59c8f85a", |
| "private" : "1064a67da639a8f6df4fbea2d63358b65bca80a770712e14ea8a72df5a3313ae", |
| "shared" : "4b82bd8650ea9b81a42181840926a4ffa16434d1bf298de1db87efb5b0a9e34e", |
| "result" : "valid", |
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| "LowOrderPublic" |
| ] |
| }, |
| { |
| "tcId" : 3, |
| "comment" : "public key on twist", |
| "curve" : "curve25519", |
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| "result" : "acceptable", |
| "flags" : [ |
| "Twist" |
| ] |
| }, |
| { |
| "tcId" : 4, |
| "comment" : "public key on twist", |
| "curve" : "curve25519", |
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| "result" : "acceptable", |
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| "Twist" |
| ] |
| }, |
| { |
| "tcId" : 5, |
| "comment" : "public key on twist", |
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| "result" : "acceptable", |
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| "Twist" |
| ] |
| }, |
| { |
| "tcId" : 6, |
| "comment" : "public key on twist", |
| "curve" : "curve25519", |
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| "result" : "acceptable", |
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| "Twist" |
| ] |
| }, |
| { |
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| "comment" : "public key on twist", |
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| "result" : "acceptable", |
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| "Twist" |
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| ] |
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| { |
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| "comment" : "private key == 1 (mod order) on twist", |
| "curve" : "curve25519", |
| "public" : "2eae5ec3dd494e9f2d37d258f873a8e6e9d0dbd1e383ef64d98bb91b3e0be035", |
| "private" : "58083dd261ad91eff952322ec824c682ffffffffffffffffffffffffffffff5f", |
| "shared" : "2eae5ec3dd494e9f2d37d258f873a8e6e9d0dbd1e383ef64d98bb91b3e0be035", |
| "result" : "acceptable", |
| "flags" : [] |
| } |
| ] |
| } |
| ] |
| } |
