Some Applications of the Fourier Transform in Algebraic Coding Theory
This expository article describes two uses of the Fourier transform of interest in algebraic coding theory: the MacWilliams identities on weight enumerators of linear codes and the decomposition of a semi-simple group algebra of a finite group into a direct sum of matrix rings.
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| Vydané v: | Algebra for Secure and Reliable Communication Modeling Ročník 642; s. 1 - 40 |
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| Hlavný autor: | |
| Médium: | Kapitola |
| Jazyk: | English |
| Vydavateľské údaje: |
Providence, Rhode Island
American Mathematical Society
23.06.2015
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| Edícia: | Contemporary Mathematics |
| ISBN: | 1470410184, 9781470410186 |
| ISSN: | 0271-4132, 1098-3627 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | This expository article describes two uses of the Fourier transform of interest in algebraic coding theory: the MacWilliams
identities on weight enumerators of linear codes and the decomposition of a semi-simple group algebra of a finite group into a
direct sum of matrix rings. |
|---|---|
| ISBN: | 1470410184 9781470410186 |
| ISSN: | 0271-4132 1098-3627 |
| DOI: | 10.1090/conm/642/12879 |