Self-Dual Codes and Invariant Theory

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Self-Dual Codes and Invariant Theory

2006 | 447 Pages | ISBN: 3642068014 | PDF | 3.5 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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