| 000 | 03896nam a22006015i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-30731-0 | ||
| 003 | DE-He213 | ||
| 005 | 20181204131312.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2006 gw | s |||| 0|eng d | ||
| 020 |
_a9783540307310 _9978-3-540-30731-0 |
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| 024 | 7 |
_a10.1007/3-540-30731-1 _2doi |
|
| 040 | _aISI Library, Kolkata | ||
| 050 | 4 | _aQA150-272 | |
| 072 | 7 |
_aPBF _2bicssc |
|
| 072 | 7 |
_aMAT002000 _2bisacsh |
|
| 072 | 7 |
_aPBF _2thema |
|
| 082 | 0 | 4 |
_a512 _223 |
| 100 | 1 |
_aNebe, Gabriele. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 245 | 1 | 0 |
_aSelf-Dual Codes and Invariant Theory _h[electronic resource] / _cby Gabriele Nebe, Eric M. Rains, Neil J.A. Sloane. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006. |
|
| 300 |
_aXXIV, 406 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aAlgorithms and Computation in Mathematics, _x1431-1550 ; _v17 |
|
| 505 | 0 | _aThe 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 | _aOne 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 | _aAlgebra. | |
| 650 | 0 | _aCoding theory. | |
| 650 | 0 | _aGroup theory. | |
| 650 | 0 | _aNumber theory. | |
| 650 | 0 | _aQuantum theory. | |
| 650 | 1 | 4 |
_aAlgebra. _0http://scigraph.springernature.com/things/product-market-codes/M11000 |
| 650 | 2 | 4 |
_aCoding and Information Theory. _0http://scigraph.springernature.com/things/product-market-codes/I15041 |
| 650 | 2 | 4 |
_aGroup Theory and Generalizations. _0http://scigraph.springernature.com/things/product-market-codes/M11078 |
| 650 | 2 | 4 |
_aControl, Robotics, Mechatronics. _0http://scigraph.springernature.com/things/product-market-codes/T19000 |
| 650 | 2 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
| 650 | 2 | 4 |
_aQuantum Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19080 |
| 700 | 1 |
_aRains, Eric M. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 700 | 1 |
_aSloane, Neil J.A. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540818496 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783642068010 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540307297 |
| 830 | 0 |
_aAlgorithms and Computation in Mathematics, _x1431-1550 ; _v17 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/3-540-30731-1 |
| 912 | _aZDB-2-SMA | ||
| 942 | _cEB | ||
| 950 | _aMathematics and Statistics (Springer-11649) | ||
| 999 |
_c425278 _d425278 |
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