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Lee weights of cyclic self-dual codes over Galois rings of characteristic p2

Title
Lee weights of cyclic self-dual codes over Galois rings of characteristic p2
Authors
Kim B.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. 107 - 130
Keywords
Cyclic codeExtremal codeGalois ringMinimum Lee weightSelf-dual code
Publisher
Academic Press Inc.
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
We completely determine the minimum Lee weights of cyclic self-dual codes over a Galois ring GR(p2,m) of length pk, where m and k are positive integers and p is a prime number. We obtain all cyclic self-dual codes over GR(22,1)≅Z4 of lengths 16 and 32 with their Lee weight enumerators. We also find cyclic self-dual codes over GR(32,1)≅Z9 (respectively, GR(32,2)) of lengths up to 27 (respectively, 9). Most of the cyclic self-dual codes we found are extremal with respect to the Lee weights. © 2016 Elsevier Inc.
DOI
10.1016/j.ffa.2016.11.015
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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