机构:Osaka Women’s University,Department of Applied Mathematics
Tatsuya Maruta
机构:
[1] Osaka Women’s University,Department of Applied Mathematics
来源:
Designs, Codes and Cryptography
|
2005年
/
35卷
关键词:
ternary linear codes;
extensions;
diversity;
doubly extendable;
projective spaces;
D O I:
暂无
中图分类号:
学科分类号:
摘要:
There are four diversities for which ternary linear codes of dimension k ≥ 3, minimum distance d with gcd(3,d) = 1 are always extendable. Moreover, three of them yield double extendability when d ≡ 1 (mod 3). All the diversities are found for ternary linear codes of dimension 3 ≤ k ≤ 6. An algorithm how to find an extension from a generator matrix is also given.