Two classes of ternary codes and their weight distributions

Cunsheng Ding; Torleiv Kløve; Francesco Sica

doi:10.1016/S0166-218X(00)00343-7

Two classes of ternary codes and their weight distributions

Cunsheng Ding, Torleiv Kløve, Francesco Sica

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	37-53
Number of pages	17
Journal	Discrete Applied Mathematics
Volume	111
Issue number	1-2
DOIs	https://doi.org/10.1016/S0166-218X(00)00343-7
Publication status	Published - Jul 15 2001

Keywords

Designs
Group character codes
Ternary codes

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

Access to Document

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

Fingerprint Dive into the research topics of 'Two classes of ternary codes and their weight distributions'. Together they form a unique fingerprint.

Cite this

@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 = jul,

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

AN - SCOPUS:0347512560

VL - 111

SP - 37

EP - 53

JO - Discrete Applied Mathematics

JF - Discrete Applied Mathematics

SN - 0166-218X

IS - 1-2

ER -

Two classes of ternary codes and their weight distributions

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this