Further Analysis of Coppersmith's Block Wiedemann Algorithm for the Solution of Sparse Linear Systems (Extended Abstract)

@inproceedings{Villard1997FurtherAO,
title={Further Analysis of Coppersmith's Block Wiedemann Algorithm for the Solution of Sparse Linear Systems (Extended Abstract)},
author={Gilles Villard},
booktitle={ISSAC},
year={1997}
}

We analyse the probability of success of the block algorithm proposed by Coppersmith for solving large sparse systems Aw = O of linear equations over a field K. Itis based on a modification of a scheme proposed by Wiedemann. An open question was to prove that the block algorithm may produce a solution for small finite fields e.g. for K =GF(2). Our investigations allow us to answer this question nearly completely. We prove that the input parameters of the algorithm may be tuned such that, forâ€¦Â CONTINUE READING