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Journal article

Linear codes associated to skew-symmetric determinantal varieties

From

Department of Applied Mathematics and Computer Science, Technical University of Denmark1

Mathematics, Department of Applied Mathematics and Computer Science, Technical University of Denmark2

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.

Language: English
Year: 2019
Pages: 32-45
ISSN: 10715797 and 10902465
Types: Journal article
DOI: 10.1016/j.ffa.2019.03.004
ORCIDs: Beelen, Peter

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