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자연과학대학
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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
이윤진
Issue Date
2017
Journal Title
Finite Fields and their Applications
ISSN
1071-5797
Citation
Finite Fields and their Applications vol. 45, pp. 107 - 130
Keywords
Cyclic code
;
Extremal code
;
Galois ring
;
Minimum Lee weight
;
Self-dual code
Publisher
Academic Press Inc.
Indexed
SCIE; SCOPUS
Document Type
Article
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
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