Nonexistence of some ternary linear codes

<p>An [n,k, dh-code is a ternary linear code with length n, dimension k and minimum distance d. We prove that codes with parameters [110,6, 72h, [109,6,71h, [237,6,157b, [69,7,43h, and [120,9,75h do not exist.</p>

Download Full-text

Five new optimal ternary linear codes

IEEE Transactions on Information Theory ◽

10.1109/18.272479 ◽

1994 ◽

Vol 40 (1) ◽

pp. 193 ◽

Cited By ~ 9

Author(s):

M. Van Eupen

Keyword(s):

Linear Codes ◽

Ternary Linear Codes

Download Full-text

Some new ternary linear codes

Journal of Algebra Combinatorics Discrete Structures and Applications ◽

10.13069/jacodesmath.327360 ◽

2017 ◽

pp. 227-227

Author(s):

Rumen Daskalov ◽

Plamen Hristov

Keyword(s):

Linear Codes ◽

Ternary Linear Codes

Download Full-text

A new extension theorem for ternary linear codes and its application

Finite Fields and Their Applications ◽

10.1016/j.ffa.2020.101711 ◽

2020 ◽

Vol 67 ◽

pp. 101711

Author(s):

Hitoshi Kanda

Keyword(s):

Linear Codes ◽

Extension Theorem ◽

Ternary Linear Codes

Download Full-text

Construction of Some Optimal Ternary Linear Codes and the Uniqueness of [294, 6, 195; 3]-Codes Meeting the Griesmer Bound

Finite Fields and Their Applications ◽

10.1006/ffta.1995.1036 ◽

1995 ◽

Vol 1 (4) ◽

pp. 458-468 ◽

Cited By ~ 1

Author(s):

N. Hamada ◽

Helleseth T.

Keyword(s):

Linear Codes ◽

Griesmer Bound ◽

Ternary Linear Codes

Download Full-text

New optimal ternary linear codes

IEEE Transactions on Information Theory ◽

10.1109/18.391267 ◽

1995 ◽

Vol 41 (4) ◽

pp. 1182-1185 ◽

Cited By ~ 14

Author(s):

T.A. Gulliver

Keyword(s):

Linear Codes ◽

Ternary Linear Codes

Download Full-text

The nonexistence of some ternary linear codes of dimension 6

Discrete Mathematics ◽

10.1016/j.disc.2004.07.003 ◽

2004 ◽

Vol 288 (1-3) ◽

pp. 125-133 ◽

Cited By ~ 1

Author(s):

Tatsuya Maruta

Keyword(s):

Linear Codes ◽

Ternary Linear Codes

Download Full-text

Some new results for ternary linear codes of dimension 5 and 6

IEEE Transactions on Information Theory ◽

10.1109/18.476334 ◽

1995 ◽

Vol 41 (6) ◽

pp. 2048-2051 ◽

Cited By ~ 10

Author(s):

M. van Eupen

Keyword(s):

Linear Codes ◽

Ternary Linear Codes

Download Full-text

Improved bounds for ternary linear codes of dimension 7

IEEE Transactions on Information Theory ◽

10.1109/18.605613 ◽

1997 ◽

Vol 43 (4) ◽

pp. 1377-1381 ◽

Cited By ~ 7

Author(s):

T.A. Gulliver ◽

P.R.J. Ostergard

Keyword(s):

Linear Codes ◽

Ternary Linear Codes

Download Full-text