Self-Dual Codes and Invariant Theory

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English | ISBN: 354030729X | 2006 | 430 pages | PDF | 5 MB
One of the most remarkable and beautiful theorems in coding theory is Gleason`s 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory, which has inspired hundreds of papers about generalizations and applications of this theorem to different types of codes. This self-contained book develops a new theory which is powerful enough to include all the earlier generalizations.

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