On type II codes over F4

被引：16

作者：

Betsumiya, K ^{[1
]}

Gulliver, TA

Harada, M

Munemasa, A

机构：

[1] Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan

[2] Univ Victoria, Dept Elect & Comp Engn, Victoria, BC V8W 3P6, Canada

[3] Yamagata Univ, Dept Math Sci, Yamagata 9908560, Japan

[4] Kyushu Univ, Grad Sch Math, Fukuoka 8128581, Japan

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2001年 / 47卷 / 06期

关键词：

euclidean self-dual codes over F-4; type II codes;

D O I：

10.1109/18.945245

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Recently,Type II codes over F-4 have been introduced as Euclidean self-dual codes with the property that all Lee weights are divisible by four. In this paper, a number of properties of Type II codes are presented. We construct several extremal Type II codes and a number of extremal Type I codes. It is also shown that there are seven Type II codes of length 12, up to permutation equivalence.

引用

页码：2242 / 2248

页数：7

共 16 条

[1]

BETSUMIYA K, 2001, LECT NOTES COMPUTER

[2] QUATERNARY QUADRATIC RESIDUE CODES AND UNIMODULAR LATTICES [J].

BONNECAZE, A ;

SOLE, P ;

CALDERBANK, AR .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1995, 41 (02) :366-377

[3] WEIGHT ENUMERATORS OF SELF-DUAL CODES [J].

BRUALDI, RA ;

PLESS, VS .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1991, 37 (04) :1222-1225

[4] A NEW UPPER BOUND ON THE MINIMAL DISTANCE OF SELF-DUAL CODES [J].

CONWAY, JH ;

SLOANE, NJA .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (06) :1319-1333

[5] Extremal binary self-dual codes [J].

Dougherty, ST ;

Gulliver, TA ;

Harada, M .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1997, 43 (06) :2036-2047

[6]

GABORIT P, TYPE 2 CODES F4

[7] On a class of self-dual codes derived from quadratic residues [J].

Gulliver, TA ;

Senkevitch, N .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (02) :701-702

[8]

HARADA M, 1998, AUSTRALASIAN J COMBI, V17, P133

[9]

HUFFMAN WC, 1979, DISCRETE MATH, V26, P129, DOI 10.1016/0012-365X(79)90119-5

[10]

Karlin M., 1978, Information and Control, V38, P148, DOI 10.1016/S0019-9958(78)90158-4

← 1 2 →