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초록
The aim of this article is the determination of the second generalized Hamming weight of any two-point code on a Hermitian curve of degree q + 1. The determination involves results of Coppens on base-point-free pencils on a plane curve. To avoid non- essential trouble, we assume that q > 4.
키워드
Geometric Goppa code; Hermitian curve; Generalized Hamming weight; Linear system; MINIMUM DISTANCE; HIERARCHY
- 제목
- The second generalized Hamming weight for two-point codes on a Hermitian curve
- 저자
- Homma, Masaaki; Kim, Seon Jeong
- 발행일
- 2009-01
- 유형
- Article
- 권
- 50
- 호
- 1
- 페이지
- 1 ~ 40
- 언어
- ENG
- 출판사
- SPRINGER
- 발행국가
- 네덜란드
- 분량
- 40 페이지
- ISSN
- E 1573-7586
P 0925-1022