Open AccessExtending self-orthogonal codes
Author(s) -
Alp Bassa,
Nesrin Tutaş
Publication year - 2019
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1905-103
Subject(s) - finite field , mathematics , field (mathematics) , code (set theory) , combinatorics , discrete mathematics , dual (grammatical number) , pure mathematics , computer science , art , literature , set (abstract data type) , programming language
In this short note we give an exact count for the number of self-dual codes over a finite field Fq of odd characteristic containing a given self-orthogonal code. This generalizes an analogous result of MacWilliams, Sloane, and Thompson over the field F2 to arbitrary odd finite fields Fq .
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