Self-dual codes and invariant theory
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. In the past 35 years there have been hundreds of papers written about generalizations and applications of thi...
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| 主要な著者: | , , |
|---|---|
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2006. |
| シリーズ: | Algorithms and Computation in Mathematics
17 |
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
Description d'après consultation du 22 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Self-dual codes and invariant theory, Gabriele Nebe, Eric M. Rains, Neil J.A. Sloane, 2006, Berlin, Springer, 1 vol. (XXVI-430 p.), Algorithms and computation in mathematics, 978-3-540-30729-7 • Self-Dual Codes and Invariant Theory, Texte imprimé, 9783540818496 • Self-Dual Codes and Invariant Theory, Texte imprimé, 9783642068010 |
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| 100 | 1 | |a Nebe, Gabriele, |d 1967-...., |c mathématicienne. | |
| 245 | 1 | 0 | |a Self-dual codes and invariant theory |c Gabriele Nebe, Eric M. Rains, Neil J.A. Sloane. |
| 250 | |a 1st ed. 2006. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Algorithms and Computation in Mathematics |v 17 | |
| 500 | |a Description d'après consultation du 22 avril 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [391]-415. Index | ||
| 505 | 0 | |a The Type of a Self-Dual Code -- Weight Enumerators and Important Types -- Closed Codes -- The Category Quad -- The Main Theorems -- Real and Complex Clifford Groups -- Classical Self-Dual Codes -- Further Examples of Self-Dual Codes -- Lattices -- Maximal Isotropic Codes and Lattices -- Extremal and Optimal Codes -- Enumeration of Self-Dual Codes -- Quantum Codes. | |
| 505 | 0 | |a The Type of a Self-Dual Code -- Weight Enumerators and Important Types -- Closed Codes -- The Category Quad -- The Main Theorems -- Real and Complex Clifford Groups -- Classical Self-Dual Codes -- Further Examples of Self-Dual Codes -- Lattices -- Maximal Isotropic Codes and Lattices -- Extremal and Optimal Codes -- Enumeration of Self-Dual Codes -- Quantum Codes | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. In the past 35 years there have been hundreds of papers written 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. It is also in part an encyclopedia that gives a very extensive list of the different types of self-dual codes and their properties, including tables of the best codes that are presently known. Besides self-dual codes, the book also discusses two closely-related subjects, lattices and modular forms, and quantum error-correcting codes. This book, written by the leading experts in the subject, has no equivalent in the literature and will be of great interest to mathematicians, communication theorists, computer scientists and physicists | ||
| 650 | |a Codage | ||
| 700 | 1 | |a Rains, Eric M., |d 1973- |4 aut | |
| 700 | 1 | |a Sloane, Neil James Alexander, |d 1939- |4 aut | |
| 776 | 0 | |0 099017148 |t Self-dual codes and invariant theory |f Gabriele Nebe, Eric M. Rains, Neil J.A. Sloane |d 2006 |c Berlin |n Springer |p 1 vol. (XXVI-430 p.) |s Algorithms and computation in mathematics |z 978-3-540-30729-7 | |
| 776 | 0 | |t Self-Dual Codes and Invariant Theory |b Texte imprimé |z 9783540818496 | |
| 776 | 0 | |t Self-Dual Codes and Invariant Theory |b Texte imprimé |z 9783642068010 | |
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