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A Generalisation of the Conjugation Method for Polynomial Selection for the Extended Tower Number Field Sieve Algorithm
finite fields discrete logarithm tower number field sieve
2016/6/2
In a recent work, Kim and Barbulescu showed how to combine previous polynomial selection methods with the extended tower number field sieve algorithm to obtain improved complexity for the discrete log...
Extended Tower Number Field Sieve with Application to Finite Fields of Arbitrary Composite Extension Degree
Discrete Logarithm Problem Number Field Sieve Finite Fields
2016/5/30
In a recent work, Kim and Barbulescu~(CRYPTO~2016) proposed an algorithm, called exTNFS, that improves asymptotic complexity for the discrete logarithm problems over Fpn in medium prime case, when the...
Extended Tower Number Field Sieve: A New Complexity for Medium Prime Case
Discrete Logarithm Problem Number Field Sieve Finite Fields Cryptanalysis
2015/12/22
In this paper, we extend the tower number field sieve~(TNFS) proposed by Barbulescu, Gaudry, and Kleinjung in Asaicrypt 2015. Our generalization based on the JLSV algorithm (by Joux, Lercier, Smart, a...