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ADDITIVE SELF-DUAL CODES OVER FIELDS OF EVEN ORDER
- Dougherty, Steven T.;
- Kim, Jon-Lark;
- Lee, Nari
Citations
WEB OF SCIENCE
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16초록
We examine various dualities over the fields of even orders, giving new dualities for additive codes. We relate the MacWilliams relations and the duals of F-22s codes for these various dualities. We study self-dual codes with respect to these dualities and prove that any subgroup of order 2(s) of the additive group is a self-dual code with respect to some duality.
키워드
additive codes; Hermitian inner-product; trace inner-product; self-dual codes; FINITE RINGS
- 제목
- ADDITIVE SELF-DUAL CODES OVER FIELDS OF EVEN ORDER
- 저자
- Dougherty, Steven T.; Kim, Jon-Lark; Lee, Nari
- 발행일
- 2018
- 유형
- Article
- 저널명
- 대한수학회보
- 권
- 55
- 호
- 2
- 페이지
- 341 ~ 357