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Construction of isodual codes over GF(q)

Title
Construction of isodual codes over GF(q)
Authors
Kim H.J.Lee Y.
Ewha Authors
이윤진
SCOPUS Author ID
이윤진scopus
Issue Date
2017
Journal Title
Finite Fields and their Applications
ISSN
1071-5797JCR Link
Citation
vol. 45, pp. 372 - 385
Keywords
EquivalenceFormally self-dual codeIsodual codeSelf-dual code
Publisher
Academic Press Inc.
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
We develop a construction method of isodual codes over GF(q), where q is a prime power; we construct isodual codes over GF(q) of length 2n+2 from isodual codes over GF(q) of length 2n. Using this method, we find some isodual codes over GF(q), where q=2,3 and 5. In more detail, we obtain binary isodual codes of lengths 32, 34, 36, 38, and 40, where all these codes of lengths 32, 34, and 36 are optimal and some codes of length 38 are optimal. We note that all these binary isodual codes are not self-dual codes, and in particular, in the case of length 38 all their weight enumerators are different from those of binary self-dual codes of the same length; in fact, four binary isodual codes of length 38 are formally self-dual even codes. We construct isodual codes over GF(3) and GF(5) of lengths 4, 6, and 8 as well. © 2017 Elsevier Inc.
DOI
10.1016/j.ffa.2017.01.005
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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