Self-Dual Codes and Invariant Theory (Record no. 425278)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03896nam a22006015i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783540307310 |
| -- | 978-3-540-30731-0 |
| 024 7# - | |
| -- | 10.1007/3-540-30731-1 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA150-272 |
| 072 #7 - | |
| -- | PBF |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT002000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBF |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Nebe, Gabriele. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Self-Dual Codes and Invariant Theory |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Gabriele Nebe, Eric M. Rains, Neil J.A. Sloane. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Berlin, Heidelberg : |
| Name of producer, publisher, distributor, manufacturer | Springer Berlin Heidelberg, |
| Date of production, publication, distribution, manufacture | 2006. |
| 300 ## - | |
| -- | XXIV, 406 p. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Algorithms and Computation in Mathematics, |
| -- | 1431-1550 ; |
| -- | 17 |
| 505 0# - | |
| -- | 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. |
| 520 ## - | |
| -- | 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 #0 - | |
| -- | Algebra. |
| 650 #0 - | |
| -- | Coding theory. |
| 650 #0 - | |
| -- | Group theory. |
| 650 #0 - | |
| -- | Number theory. |
| 650 #0 - | |
| -- | Quantum theory. |
| 650 14 - | |
| -- | Algebra. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11000 |
| 650 24 - | |
| -- | Coding and Information Theory. |
| -- | http://scigraph.springernature.com/things/product-market-codes/I15041 |
| 650 24 - | |
| -- | Group Theory and Generalizations. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11078 |
| 650 24 - | |
| -- | Control, Robotics, Mechatronics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/T19000 |
| 650 24 - | |
| -- | Number Theory. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M25001 |
| 650 24 - | |
| -- | Quantum Physics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P19080 |
| 700 1# - | |
| -- | Rains, Eric M. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 700 1# - | |
| -- | Sloane, Neil J.A. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783540818496 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783642068010 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783540307297 |
| 830 #0 - | |
| -- | Algorithms and Computation in Mathematics, |
| -- | 1431-1550 ; |
| -- | 17 |
| 856 40 - | |
| -- | https://doi.org/10.1007/3-540-30731-1 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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