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 | |
| Publication status | Published - Jul 15 2001 |
| Externally published | Yes |
Fingerprint
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 journal › Article
}
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 -