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JOURNALS // Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography] // Archive

Mat. Vopr. Kriptogr., 2012 Volume 3, Issue 1, Pages 5–51 (Mi mvk47)

This article is cited in 5 papers

Solving systems of linear equations arising in the computation of logarithms in a finite prime field

A. Ya. Dorofeev

SUE RDI "Kvant", Moscow

Abstract: Empirical investigations of the computational complexity of algorithms for solving sparse linear systems was conducted for systems appeared in the computation of discrete logarithms in finite prime fields $GF(p)$, $p<10^{135}$.

Key words: discrete logarithms, number field sieve, sparse linear systems, structured Gaussian elimination, Lanczos algorithm, parallel computations.

UDC: 511.53+519.712.45

Received 05.V.2010

DOI: 10.4213/mvk47



© Steklov Math. Inst. of RAS, 2024