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- W2158796084 abstract "Shamir presents in [] a family of cryptographic signature schemes based on birational permutations of the integers modulo a large integer N of unknown factorization. These schemes are attractive because of the low computational requirements, both for signature generation and signature verification. However, the two schemes presented in Shamir’s paper are weak. We show here how to break the first scheme, by first reducing it algebraically to the earlier Ong-Schnorr-Shamir signature scheme, and then applying the Pollard solution to that scheme. We then show some attacks on the second scheme. These attacks give ideas which can be applied to schemes in this general family." @default.
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- W2158796084 date "2007-08-06" @default.
- W2158796084 modified "2023-09-29" @default.
- W2158796084 title "Attacks on the Birational Permutation Signature Schemes" @default.
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- W2158796084 doi "https://doi.org/10.1007/3-540-48329-2_37" @default.
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