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Beschreibung
This book contains three parts. Part I provides a new proof of the fact that a finite commutative ring may be expressed as a sum of finite local rings. A Galois ring is constructed within a finite local ring by means of a Teichmuller representation system. Part II presents some variants of the Reed-Muller codes. Part III gives a standard basis for a linear code over a prime field. A decoding algorithm for binary linear codes using a Groebner basis is developed.
Details
| Verlag | LAP LAMBERT Academic Publishing |
| Ersterscheinung | 30. Dezember 2022 |
| Maße | 22 cm x 15 cm x 0.6 cm |
| Gewicht | 149 Gramm |
| Format | Softcover |
| ISBN-13 | 9786205529539 |
| Seiten | 88 |