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jubjub safety curve验证

mutourend 发布时间:2019-06-25 18:13:52 ,浏览量:1

在 https://github.com/zkcrypto/jubjub/tree/master/doc/evidence 中,有相应的sage脚本来验证其符合SafeCurves criteria

SafeCurves criteria验证的主要原因如下:

There are several different standards covering selection of curves for use in elliptic-curve cryptography (ECC):

  • ANSI X9.62 (1999).
  • IEEE P1363 (2000).
  • SEC 2 (2000).
  • NIST FIPS 186-2 (2000).
  • ANSI X9.63 (2001).
  • Brainpool (2005).
  • NSA Suite B (2005).
  • ANSSI FRP256V1 (2011).

Each of these standards tries to ensure that the elliptic-curve discrete-logarithm problem (ECDLP) is difficult. ECDLP is the problem of finding an ECC user’s secret key, given the user’s public key.

Unfortunately, there is a gap between ECDLP difficulty and ECC security. None of these standards do a good job of ensuring ECC security. There are many attacks that break real-world ECC without solving ECDLP.

The SafeCurves criteria are designed to ensure ECC security, not just ECDLP security.

在这里插入图片描述参考资料: [1] https://github.com/zkcrypto/jubjub/tree/master/doc/evidence [2] https://safecurves.cr.yp.to/index.html [3] https://safecurves.cr.yp.to/verify.html

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