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A trapdoor discrete logarithm group is a cryptographic prim- itive with many applications, and an algorithm that allows discrete loga- rithm problems to be solved faster using a pre-computed table increases the practicality of using this primitive. Currently, the distinguished point method and one extension to this algorithm are the only pre-computation aided discrete logarithm problem solving algorithms appearing in the related literature. This work investigates the possibility of adopting other pre-computation matrix structures that were originally designed for used with cryptanalytic time memory tradeoff algorithms to work as pre-computation aided discrete logarithm problem solving algorithms. We find that the classical Hellman matrix structure leads to an algorithm that has performance advantages over the two existing algorithms.
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참고문헌 (18)
참고문헌 신청
/ / RainbowCrack Project
A. Biryukov / 2000 / Cryptanalytic time/memory/data tradeoffs for stream ci-phers, in: ASIACRYPT 2000 / LNCS 1976 : 1 ~ 13
A. Biryukov, S / 2006 / Improved time-memory trade-offs with multiple data, in: SAC 2005 / LNCS 3897 : 110 ~ 127
A. E. Escott / 1999 / Attacking elliptic curve cryptosystems using the parallel Pollard rho method / CryptoBytes 4 : 15 ~ 19
C. Calik / 2007 / How to invert one-way functions: time-memory trade-off method / 석사 / Middle East Technical University
A. Biryukov / 2000 / Cryptanalytic time/memory/data tradeoffs for stream ci-phers, in: ASIACRYPT 2000 / LNCS 1976 : 1 ~ 13
A. Biryukov, S / 2006 / Improved time-memory trade-offs with multiple data, in: SAC 2005 / LNCS 3897 : 110 ~ 127
A. E. Escott / 1999 / Attacking elliptic curve cryptosystems using the parallel Pollard rho method / CryptoBytes 4 : 15 ~ 19
C. Calik / 2007 / How to invert one-way functions: time-memory trade-off method / 석사 / Middle East Technical University
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