Construction of extremal self-dual codes over Z8 and Z16
- 주제(키워드) Code over a ring , Extremal self-dual code , Free self-dual code , Optimal self-dual code , Self-dual code
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Kluwer Academic Publishers
- 발행년도 2015
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000119973
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s10623-015-0137-8
초록/요약
We present a method of constructing free self-dual codes over (Formula presented.) and (Formula presented.) which are extremal or optimal with respect to the Hamming weight. We first prove that every (extremal or optimal) free self-dual code over (Formula presented.) can be found from a binary (extremal or optimal) Type II code for any positive integer (Formula presented.). We find explicit algorithms for construction of self-dual codes over (Formula presented.) and (Formula presented.). Our construction method is basically a lifting method. Furthermore, we find an upper bound of minimum Hamming weights of free self-dual codes over (Formula presented.). By using our explicit algorithms, we construct extremal free self-dual codes over (Formula presented.) and (Formula presented.) up to lengths 40. © 2015 Springer Science+Business Media New York
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