Self-Dual Codes and Invariant Theory

Gabriele Nebe,Eric M. Rains,Neil J. A. Sloane

Self-Dual Codes and Invariant Theory
Format
Hardback
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country
Germany
Published
9 February 2006
Pages
430
ISBN
9783540307297

Self-Dual Codes and Invariant Theory

Gabriele Nebe,Eric M. Rains,Neil J. A. Sloane

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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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