An algorithm to construct new (near-) MDS or (near-) MDR self-dual codes over finite rings Zpm

被引：0

作者：

Elviyenti, Mona ^{[1
]}

Suprijanto, Djoko ^{[1
]}

机构：

[1] Inst Teknol Bandung, Fac Math & Nat Sci, Dept Math, Jl Ganesha 10, Bandung 40132, Indonesia

来源：

5TH INTERNATIONAL CONFERENCE ON RESEARCH AND EDUCATION IN MATHEMATICS (ICREM5) | 2012年 / 1450卷

关键词：

Codes over rings; self-dual codes; MDS codes; MDR codes;

D O I：

10.1063/1.4724141

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present an algorithm to construct self-dual codes over Z(pm). To show the powerful of our algorithm, we obtained several new self-dual MDS, near-MDS, MDR, near-MDR codes over Z(pm) partly by using generator matrices presented by Lee and Lee (2008) as inputs.

引用

页码：205 / 210

页数：6

共 11 条

[1]

[Anonymous], 1978, The Theory of Error-Correcting Codes

[2]

[Anonymous], J MAT SAINS

[3]

Bosma W., 1995, Handbook of Magma Functions

[4]

Conway J H, 1999, Grundlehren der Mathematischen Wissenschaften, V3rd, DOI DOI 10.1007/978-1-4757-6568-7

[5] MDR codes over Zk [J].

Dougherty, ST ;

Shiromoto, K .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2000, 46 (01) :265-269

[6] THE Z4-LINEARITY OF KERDOCK, PREPARATA, GOETHALS, AND RELATED CODES [J].

HAMMONS, AR ;

KUMAR, PV ;

CALDERBANK, AR ;

SLOANE, NJA ;

SOLE, P .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1994, 40 (02) :301-319

[7] Euclidean and Hermitian self-dual MDS codes over large finite fields [J].

Kim, JL ;

Lee, YJ .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 2004, 105 (01) :79-95

[8] Construction of self-dual codes over finite rings Zpm [J].

Lee, Heisook ;

Lee, Yoonjin .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 2008, 115 (03) :407-422

[9]

Rains EM, 1998, HANDBOOK OF CODING THEORY, VOLS I & II, P177

[10]

Shiromoto K., 2001, Kumamoto J. Math., V14, P21

← 1 2 →