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Block basis reduction for linear codes in non-Hamming metrics

Kolesnikov, N. S. et al.
arXiv (All) · Papers
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discrete-mathematicsinformation-theory
In this paper, we generalize the code basis reduction to non-Hamming metrics. We propose a block basis reduction (BKZ) algorithm for codes that works for all coordinate-additive metrics. Our algorithm is a generalization of the algorithm of Ghentiyala and Stephens-Davidowitz, which in turn is an ada
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