A generalized floor bound for the minimum distance of geometric Goppa codes

被引：12

作者：

Lundell, Benjamin

McCullough, Jason

机构：

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2006年 / 207卷 / 01期

关键词：

D O I：

10.1016/j.jpaa.2005.09.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a new bound for the minimum distance of geometric Goppa codes that generalizes two previous improved bounds. We include examples of the bound applied to one- and two-point codes over certain Suzuki and Hermitian curves. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：155 / 164

页数：10

共 50 条

[1] Floor type bound for the minimum distance of generalized algebraic geometric codes
Park, Seungkook
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2016, 220 (01) : 175 - 179
[2] GENERALIZATION OF MINIMUM DISTANCE BOUND ON GENERALIZED GOPPA CODES AND THEIR DECODING
FENG, GL
TZENG, KK
[J]. SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 1983, 26 (10): : 1096 - 1106
[3] GENERALIZATION OF MINIMUM DISTANCE BOUND ON GENERALIZED GOPPA CODES AND THEIR DECODING
冯贵良
K.K.TZENG
[J]. Science China Mathematics, 1983, (10) : 1096 - 1106
[4] Improving the minimum distance bound of Trace Goppa codes
Isabel Byrne
Natalie Dodson
Ryan Lynch
Eric Pabón–Cancel
Fernando Piñero-González
[J]. Designs, Codes and Cryptography, 2023, 91 : 2649 - 2663
[5] Improving the minimum distance bound of Trace Goppa codes
Byrne, Isabel
Dodson, Natalie
Lynch, Ryan
Pabon-Cancel, Eric
Pinero-Gonzalez, Fernando
[J]. DESIGNS CODES AND CRYPTOGRAPHY, 2023, 91 (08) : 2649 - 2663
[6] A NEW LOWER BOUND FOR THE MINIMUM DISTANCE OF BINARY GOPPA CODES
冯贵良
[J]. Journal of Electronics(China), 1985, (03) : 188 - 194
[7] Generalized geometric Goppa codes
Heydtmann, AE
[J]. COMMUNICATIONS IN ALGEBRA, 2002, 30 (06) : 2763 - 2789
[8] Bounds on the minimum distance of Goppa codes
Maharaj, Hiren
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (07) : 3256 - 3259
[9] Weierstrass pairs and minimum distance of Goppa codes
Matthews, GL
[J]. DESIGNS CODES AND CRYPTOGRAPHY, 2001, 22 (02) : 107 - 121
[10] Weierstrass Pairs and Minimum Distance of Goppa Codes
Gretchen L. Matthews
[J]. Designs, Codes and Cryptography, 2001, 22 : 107 - 121

← 1 2 3 4 5 →