Optimal constant weight codes over Z(k) and generalized designs

被引：58

作者：

Etzion, T ^{[1
]}

机构：

[1] TECHNION ISRAEL INST TECHNOL,DEPT COMP SCI,IL-32000 HAIFA,ISRAEL

来源：

DISCRETE MATHEMATICS | 1997年 / 169卷 / 1-3期

关键词：

D O I：

10.1016/0012-365X(95)00333-R

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider optimal constant weight codes over arbitrary alphabets. Some of these codes are derived from good codes over the same alphabet, and some of these codes are derived from block design. Generalizations of Steiner systems play an important role in this context. We give several construction methods for these generalizations. An interesting class of codes are those which form generalized Steiner systems and their supports form ordinary Steiner systems. Finally, we consider classes of codes which are MDS constant weight codes.

引用

页码：55 / 82

页数：28

共 24 条

[1]

[Anonymous], 1901, COMPTE RENDU LASSOC

[2]

Beth T., 1986, DESIGN THEORY

[3] CONSTRUCTIONS FOR OPTIMAL CONSTANT WEIGHT CYCLICALLY PERMUTABLE CODES AND DIFFERENCE-FAMILIES [J].

BITAN, S ;

ETZION, T .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1995, 41 (01) :77-87

[4]

BLANCHARD JL, EXISTENCE ORTHOGONAL

[5]

BRICKELL EF, 1987, P SE C COMB GRAPH TH

[6] A NEW TABLE OF CONSTANT WEIGHT CODES [J].

BROUWER, AE ;

SHEARER, JB ;

SLOANE, NJA ;

SMITH, WD .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (06) :1334-1380

[7]

BUTSON AT, 1962, P AM MATH SOC, P894

[8] OPTICAL ORTHOGONAL CODES - DESIGN, ANALYSIS, AND APPLICATIONS [J].

CHUNG, FRK ;

SALEHI, JA ;

WEI, VK .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1989, 35 (03) :595-604

[9]

COLBOURN MJ, 1980, MATH REPORT CANADIAN, V2, P21

[10] SELF-DUAL CODES OVER THE INTEGERS MODULO-4 [J].

CONWAY, JH ;

SLOANE, NJA .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1993, 62 (01) :30-45

← 1 2 3 →