Lee weights of cyclic self-dual codes over Galois rings of characteristic p2
- 주제(키워드) Cyclic code , Extremal code , Galois ring , Minimum Lee weight , Self-dual code
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Academic Press Inc.
- 발행년도 2017
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000141744
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.ffa.2016.11.015
초록/요약
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.
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