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Hamming weight enumerator is a 2 variables polynomial containing information about the weight distribution of codewords of a linear code. It is known that for a binary self-dual code with all weights divisible by 4, its Hamming weight enumerator is unchanged (or invarian) under the action of a group...
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id-itb.:136472017-09-27T11:43:06Z#TITLE_ALTERNATIVE# FAJAR SIDIK (NIM 10102023); Pembimbing: Dr. Djoko Suprijanto, M. Indonesia Final Project INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/13647 Hamming weight enumerator is a 2 variables polynomial containing information about the weight distribution of codewords of a linear code. It is known that for a binary self-dual code with all weights divisible by 4, its Hamming weight enumerator is unchanged (or invarian) under the action of a group of order 192 and belong to a spesific ring of invariant (MacWilliams dan Sloane, 1977). In this final project, we investigate a structure of invariant ring to which the Hamming weight enumerators belong for self-dual codes over Fq using invariant theory. text |
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Hamming weight enumerator is a 2 variables polynomial containing information about the weight distribution of codewords of a linear code. It is known that for a binary self-dual code with all weights divisible by 4, its Hamming weight enumerator is unchanged (or invarian) under the action of a group of order 192 and belong to a spesific ring of invariant (MacWilliams dan Sloane, 1977). In this final project, we investigate a structure of invariant ring to which the Hamming weight enumerators belong for self-dual codes over Fq using invariant theory. |
| format |
Final Project |
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FAJAR SIDIK (NIM 10102023); Pembimbing: Dr. Djoko Suprijanto, M. |
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FAJAR SIDIK (NIM 10102023); Pembimbing: Dr. Djoko Suprijanto, M. #TITLE_ALTERNATIVE# |
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FAJAR SIDIK (NIM 10102023); Pembimbing: Dr. Djoko Suprijanto, M. |
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FAJAR SIDIK (NIM 10102023); Pembimbing: Dr. Djoko Suprijanto, M. |
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https://digilib.itb.ac.id/gdl/view/13647 |
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