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.
Year
DOI
Venue
2019
10.1016/j.ffa.2019.03.004
Finite Fields and Their Applications
Keywords
Field
DocType
94B27,14G50
Combinatorics,Skew-symmetric matrix,Matrix (mathematics),Linear code,Code word,Recursion,Mathematics
Journal
Volume
ISSN
Citations 
58
1071-5797
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Peter Beelen111615.95
Prasant Singh221.80