Public key cryptographic method based on braid groups

Details Public key cryptographic method based on braid groups Public key cryptographic method based on braid groups

2002-10-24

2008-07-15

Barrón, Jr., Gilberto (Department: 2132)

Electrical computers and digital processing systems: support

Multiple computer communication using cryptography

Particular communication authentication technique

Reexamination Certificate

active

07401226

ABSTRACT:
A public key cryptographic method based on groups of braids. The method employs a secret key defined by a representative s of a given braid S in a braid group G, a public key defined by a representative v of the braid T(S) converted from the braid S by an operator T, and an operation of verifying the equality of two braids, i.e. the equivalence of representatives of the two braids.

REFERENCES:
patent: 0 666 664 (1995-08-01), None
K.H. Ho “New Public-Key Cryptosystem Using Braid Groups” Aug. 2000.
Iris Anshel, et al., “An Algebraic Method for Public Key Cryptography”, Mathematical Research Letters, vol. 6, pp. 1-5, 1999.
Iris Anshel et al., “New Key Agreement Protocols in Braid Group Cryptography”, The Cryptographers' Track at RSA Conference 2001, Springer-Verlag, pp. 13-27, 2001.
Ki Hyoung Ko et al., “New-Public Key Cryptosystem Using Braid Groups”, Advances in Cryptology, Crypto 2000, pp. 166-183, 2000.
Patrick Dehornoy, “A Fast Method for Comparing Braids”, Advances in Mathematics, vol. 125, No. 2, pp. 200-235, Feb. 10, 1997.
Patrick Dehornoy, “L'art de tresser [The art of braiding]”, Pour la Science; La science des neudes [The science of knots], pp. 68-75, 1997.
D. Epstein et al., “Word Processing in Groups”, Jones and Barlett Publishers, pp. 181-209, 1988.

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