A mass formula for cyclic codes over Galois rings of characteristic p(3)
- 주제(키워드) Cyclic code , Galois ring , Mass formula , Ideal , Generator
- 주제(기타) Mathematics, Applied; Mathematics
- 설명문(일반) [Kim, Boran] Ewha Womans Univ, Inst Math Sci, 52 Ewhayeodae Gil, Seoul 03760, South Korea; [Lee, Yoonjin] Ewha Womans Univ, Dept Math, 52 Ewhayeodae Gil, Seoul 03760, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 ACADEMIC PRESS INC ELSEVIER SCIENCE
- 발행년도 2018
- URI http://www.dcollection.net/handler/ewha/000000151633
- 본문언어 영어
- Published As http://dx.doi.org/10.10164/j.ffa.2018.04.005
초록/요약
We completely determine the explicit generators of cyclic codes of length p(k) (k >= 1) over a Galois ring of characteristic p(3) by their residue degree, and their two torsional degrees; there are exactly three types of cyclic codes, that is, one-generator, two-generator and three-generator cyclic codes. Using this classification result, we explicitly obtain a mass formula for cyclic codes of length p(k) over a Galois ring of characteristic p(3). (C) 2018 Elsevier Inc. All rights reserved.
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