Two classes of ternary codes and their weight distributions

Cunsheng Ding, Torleiv Kløve, Francesco Sica

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, we describe two classes of ternary codes, determine their minimum weight and weight distribution, and prove their properties. We also present four classes of 1-designs that are based on the classes of ternary codes. One class of codes described here improves the existing class of ternary codes described by Ding et al. (IEEE Trans. Inform. Theory 46 (2000)).

Original languageEnglish
Pages (from-to)37-53
Number of pages17
JournalDiscrete Applied Mathematics
Volume111
Issue number1-2
DOIs
Publication statusPublished - Jul 15 2001
Externally publishedYes

Fingerprint

Weight Distribution
Ternary
Class

Keywords

  • Designs
  • Group character codes
  • Ternary codes

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

Two classes of ternary codes and their weight distributions. / Ding, Cunsheng; Kløve, Torleiv; Sica, Francesco.

In: Discrete Applied Mathematics, Vol. 111, No. 1-2, 15.07.2001, p. 37-53.

Research output: Contribution to journalArticle

Ding, Cunsheng ; Kløve, Torleiv ; Sica, Francesco. / Two classes of ternary codes and their weight distributions. In: Discrete Applied Mathematics. 2001 ; Vol. 111, No. 1-2. pp. 37-53.
@article{41077fbf1ae74538bc54e60ec01d1f88,
title = "Two classes of ternary codes and their weight distributions",
abstract = "In this paper, we describe two classes of ternary codes, determine their minimum weight and weight distribution, and prove their properties. We also present four classes of 1-designs that are based on the classes of ternary codes. One class of codes described here improves the existing class of ternary codes described by Ding et al. (IEEE Trans. Inform. Theory 46 (2000)).",
keywords = "Designs, Group character codes, Ternary codes",
author = "Cunsheng Ding and Torleiv Kl{\o}ve and Francesco Sica",
year = "2001",
month = "7",
day = "15",
doi = "10.1016/S0166-218X(00)00343-7",
language = "English",
volume = "111",
pages = "37--53",
journal = "Discrete Applied Mathematics",
issn = "0166-218X",
publisher = "Elsevier",
number = "1-2",

}

TY - JOUR

T1 - Two classes of ternary codes and their weight distributions

AU - Ding, Cunsheng

AU - Kløve, Torleiv

AU - Sica, Francesco

PY - 2001/7/15

Y1 - 2001/7/15

N2 - In this paper, we describe two classes of ternary codes, determine their minimum weight and weight distribution, and prove their properties. We also present four classes of 1-designs that are based on the classes of ternary codes. One class of codes described here improves the existing class of ternary codes described by Ding et al. (IEEE Trans. Inform. Theory 46 (2000)).

AB - In this paper, we describe two classes of ternary codes, determine their minimum weight and weight distribution, and prove their properties. We also present four classes of 1-designs that are based on the classes of ternary codes. One class of codes described here improves the existing class of ternary codes described by Ding et al. (IEEE Trans. Inform. Theory 46 (2000)).

KW - Designs

KW - Group character codes

KW - Ternary codes

UR - http://www.scopus.com/inward/record.url?scp=0347512560&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347512560&partnerID=8YFLogxK

U2 - 10.1016/S0166-218X(00)00343-7

DO - 10.1016/S0166-218X(00)00343-7

M3 - Article

VL - 111

SP - 37

EP - 53

JO - Discrete Applied Mathematics

JF - Discrete Applied Mathematics

SN - 0166-218X

IS - 1-2

ER -