Algebraic Coding Theory Over Finite Commutative Rings. 1st ed. 2017
- 種類:
- 電子ブック
- 責任表示:
- by Steven T. Dougherty
- 出版情報:
- Cham : Springer International Publishing : Imprint: Springer, 2017
- 著者名:
- シリーズ名:
- SpringerBriefs in Mathematics ;
- ISBN:
- 9783319598062 [3319598066]
- 注記:
- Introduction -- Ring Theory -- MacWilliams Relations -- Families of Rings -- Self-Dual Codes -- Cyclic and Constacyclic Codes.
This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive account on the subject. Coding theory has its origins in the engineering problem of effective electronic communication where the alphabet is generally the binary field. Since its inception, it has grown as a branch of mathematics, and has since been expanded to consider any finite field, and later also Frobenius rings, as its alphabet. This book presents a broad view of the subject as a branch of pure mathematics and relates major results to other fields, including combinatorics, number theory and ring theory. Suitable for graduate students, the book will be of interest to anyone working in the field of coding theory, as well as algebraists and number theorists looking to apply coding theory to their own work. - ローカル注記:
- 学内専用E-BOOKS (local access only)
類似資料:
1
![]() Springer International Publishing : Imprint: Springer |
7
![]() Springer International Publishing : Imprint: Springer |
Springer |
Springer Nature Singapore : Imprint: Springer |
Springer-Verlag Berlin Heidelberg |
Springer International Publishing : Imprint: Birkhäuser |
Springer Berlin Heidelberg : Imprint: Springer |
Springer London : Imprint: Springer |
Birkhäuser Basel |
Springer International Publishing : Imprint: Springer |
Springer-Verlag New York |
Springer Science + Business Media, Inc. |