Construction of extremal self-dual codes over F 2uF 2 with an automorphism of odd order
- 주제(키워드) 11T71 , 94B05 , primary , secondary
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Academic Press
- 발행년도 2012
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000094113
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.ffa.2012.05.004
초록/요약
We complete the classification the Lee-extremal self-dual codes over the ring F 2uF 2 of lengths 21 and 22 with a nontrivial automorphism of odd prime order except the case for an automorphism of order 3 with seven cycles, and we partially classify the exceptional case. In particular, we show that there are 138 (respectively, 6723) inequivalent Lee-extremal self-dual codes of length 21 (respectively, 22) with an automorphism of odd prime order. We use the decomposition theory for self-dual codes over F 2uF 2 with an automorphism of odd prime order as the same approaches made by Huffman. And we also use an extension method as a new approach, and the current approach is extending the even subcode part while the fixed subcode part is extended in the authors previous work. © 2012 Elsevier Inc.
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