#TITLE_ALTERNATIVE#
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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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/13647 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | 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. |
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