Convolutional Goppa codes

被引：15

作者：

Porras, JMM ^{[1
]}

Pérez, JAD ^{[1
]}

Curto, JII ^{[1
]}

Sotelo, GS ^{[1
]}

机构：

[1] Univ Salamanca, Dept Math, E-37008 Salamanca, Spain

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2006年 / 52卷 / 01期

关键词：

algebraic curves; convolutional codes; finite fields; Goppa codes; maximum-distance separable (MDS) codes;

D O I：

10.1109/TIT.2005.860447

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this correspondence, we define convolutional Goppa codes over algebraic curves and construct their corresponding dual codes. Examples over the projective line and over elliptic curves are described, obtaining in particular some maximum-distance separable (MDS) convolutional codes.

引用

页码：340 / 344

页数：5

共 8 条

[1]

[Anonymous], 1977, ALGEBRAIC GEOM

[2] CONVOLUTIONAL CODES .1. ALGEBRAIC STRUCTURE [J].

FORNEY, GD .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1970, 16 (06) :720-+

[3]

McEliece RJ, 1998, HANDBOOK OF CODING THEORY, VOLS I & II, P1065

[4] Convolutional Codes of Goppa type [J].

Pérez, JAD ;

Porras, JMM ;

Sotelo, GS .

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2004, 15 (01) :51-61

[5]

Piret P., 1988, CONVOLUTIONAL CODES

[6]

Rosenthal J, 2001, IMA VOL MATH APPL, V123, P39

[7] Maximum distance separable convolutional codes [J].

Rosenthal, J ;

Smarandache, R .

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 1999, 10 (01) :15-32

[8]

Tate J., 1972, LECT NOTES MATH, V476, P33

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