ON THE GENERALIZED HAMMING WEIGHTS OF GEOMETRIC GOPPA CODES

被引:43
作者
MUNUERA, C
机构
[1] University of Valladolid, Department of Applied Mathematics (ETS de Arquitectura), 47014 Valladolid, Castilla, Avda Salamanca S/N
关键词
LINEAR CODE; GENERALIZED HAMMIG WEIGHT; GEOMETRIC GOPPA CODE; ALGEBRAIC CURVE;
D O I
10.1109/18.340488
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 paper, we study the generalized Hamming weights of geometric Goppa codes, giving a translation of these weights into arithmetical terms, concerning the arithmetic of the curve used to construct the code. We derive some results and bounds that we apply to some known codes.
引用
收藏
页码:2092 / 2099
页数:8
相关论文
共 20 条
[1]  
DEBOER M, 1992, THESIS EINDHOVEN U T
[2]   ON THE GENERALIZED HAMMING WEIGHTS OF SEVERAL CLASSES OF CYCLIC CODES [J].
FENG, GL ;
TZENG, KK ;
WEI, VK .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (03) :1125-1130
[3]  
GOPPA VD, 1983, MATH USSR IZV, V21, P75
[4]   CODES ON THE KLEIN QUARTIC, IDEALS, AND DECODING [J].
HANSEN, JP .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1987, 33 (06) :923-925
[5]   GENERALIZED HAMMING WEIGHTS OF LINEAR CODES [J].
HELLESETH, T ;
KLOVE, T ;
YTREHUS, O .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (03) :1133-1140
[6]   THE WEIGHT HIERARCHY OF HIGHER-DIMENSIONAL HERMITIAN CODES [J].
HIRSCHFELD, JWP ;
TSFASMAN, MA ;
VLADUT, SG .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1994, 40 (01) :275-278
[7]   EQUALITY OF GEOMETRIC GOPPA CODES AND EQUIVALENCE OF DIVISORS [J].
MUNUERA, C ;
PELLIKAAN, R .
JOURNAL OF PURE AND APPLIED ALGEBRA, 1993, 90 (03) :229-252
[8]   ON THE MAIN CONJECTURE ON GEOMETRIC MDS CODES [J].
MUNUERA, C .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (05) :1573-1577
[9]  
PELLIKAAN R, 1993, P AGCT 4
[10]  
PELLIKAAN R, 1992, CODING THEORY ALGEBR