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The second generalized Hamming weight for two-point codes on a Hermitian curve
- Authors
- Homma, Masaaki; Kim, Seon Jeong
- Issue Date
- Jan-2009
- Publisher
- SPRINGER
- Keywords
- Geometric Goppa code; Hermitian curve; Generalized Hamming weight; Linear system
- Citation
- DESIGNS CODES AND CRYPTOGRAPHY, v.50, no.1, pp 1 - 40
- Pages
- 40
- Indexed
- SCIE
SCOPUS
- Journal Title
- DESIGNS CODES AND CRYPTOGRAPHY
- Volume
- 50
- Number
- 1
- Start Page
- 1
- End Page
- 40
- ISSN
- 0925-1022
1573-7586
- Abstract
- 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.
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