Extendability of Ternary Linear Codes

被引:0
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作者
Tatsuya Maruta
机构
[1] Osaka Women’s University,Department of Applied Mathematics
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关键词
ternary linear codes; extensions; diversity; doubly extendable; projective spaces;
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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.
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页码:175 / 190
页数:15
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