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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| Published in: | Algebra for Secure and Reliable Communication Modeling Vol. 642; pp. 1 - 40 |
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| Main Author: | |
| Format: | Book Chapter |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
23.06.2015
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| Series: | Contemporary Mathematics |
| ISBN: | 1470410184, 9781470410186 |
| ISSN: | 0271-4132, 1098-3627 |
| Online Access: | Get full text |
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| Summary: | 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 |