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arXiv · 1810.03878

Linear Codes Associated to Skew-symmetric Determinantal Varieties

Peter Beelen·Prasant Singh
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Abstract

In this article we consider linear codes coming from skew-symmetric determinantal varieties, which are defined by the vanishing of minors of a certain fixed size in the space of skew-symmetric matrices. In odd characteristic, the minimum distances of these codes are determined and a recursive formula for the weight of a general codeword in these codes is given.

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Peter Beelen, Prasant Singh. 2018-10-09. Linear Codes Associated to Skew-symmetric Determinantal Varieties. https://arxiv.org/abs/1810.03878

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