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F2 Lanczos revisited

By Michael Peterson and Chris Monico


We present a new variant of the block Lanczos algorithm for finding vectors in the kernel of a symmetric matrix over F2. Our algorithm is at least as efficient as that of Peter Montgomery [6], while the sequence of matrices Wi constructed here have different algebraic properties that may be useful in eventually providing a provable upper bound on the time required to solve this problem. Namely, our Wi satisfy W T i Wj = 0 for i � = j as opposed to W

Year: 2006
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