A note on reducing the computation time for minimum distance and equivalence check of binary linear codes

Nikolay Yankov; Krassimir Enev

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arXiv · 1809.03764

A note on reducing the computation time for minimum distance and equivalence check of binary linear codes

Nikolay Yankov·Krassimir Enev

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Abstract

In this paper we show the usability of the Gray code with constant weight words for computing linear combinations of codewords. This can lead to a big improvement of the computation time for finding the minimum distance of a code. We have also considered the usefulness of combinatorial $2$-$(t,k,1)$ designs when there are memory limitations to the number of objects (linear codes in particular) that can be tested for equivalence.

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Nikolay Yankov, Krassimir Enev. 2018-09-11. A note on reducing the computation time for minimum distance and equivalence check of binary linear codes. https://arxiv.org/abs/1809.03764

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