Self-dual codes over commutative Frobenius rings (Q623247)
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scientific article; zbMATH DE number 5851251
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Self-dual codes over commutative Frobenius rings |
scientific article; zbMATH DE number 5851251 |
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Self-dual codes over commutative Frobenius rings (English)
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14 February 2011
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This paper discusses the existence of self-dual codes over all finite commutative Frobenius rings making use of Chinese remainder theorem. Non-free self-dual codes have been constructed using self-dual codes over finite fields whereas free self-dual codes have been constructed by lifting elements from the base finite field. It is shown that all self-dual codes with minimum weight greater than 2 can be obtained in cases where the construction procedure of this paper applies.
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codes over rings
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self-dual codes
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Frobenius rings
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codes over \(\mathbb{Z}_m\)
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bounds for minimum weights
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