Linear codes associated to skew-symmetric determinantal varieties

Peter Beelen; Prasant Singh

doi:10.1016/j.ffa.2019.03.004

Linear codes associated to skew-symmetric determinantal varieties

Peter Beelen^*, Prasant Singh

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

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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.

Original language	English
Journal	Finite Fields and Their Applications
Volume	58
Pages (from-to)	32-45
ISSN	1071-5797
DOIs	https://doi.org/10.1016/j.ffa.2019.03.004
Publication status	Published - 1 Jul 2019

Keywords

Determinantal variety
Linear code
Minimum distance
Skew-symmetric matrices

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title = "Linear codes associated to skew-symmetric determinantal varieties",

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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T1 - Linear codes associated to skew-symmetric determinantal varieties

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AU - Singh, Prasant

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AB - 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.

KW - Determinantal variety

KW - Linear code

KW - Minimum distance

KW - Skew-symmetric matrices

U2 - 10.1016/j.ffa.2019.03.004

DO - 10.1016/j.ffa.2019.03.004

M3 - Journal article

AN - SCOPUS:85063336506

SN - 1071-5797

VL - 58

SP - 32

EP - 45

JO - Finite Fields and Their Applications

JF - Finite Fields and Their Applications

ER -

Linear codes associated to skew-symmetric determinantal varieties

Abstract

Keywords

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