Screen LibraryAlgebraic Coding Theory Over Finite Commutative Rings /
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...
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| Main Authors: | |
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| Published: |
Springer International Publishing : Imprint: Springer,
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| Publisher Address: | Cham : |
| Publication Dates: | 2017. |
| Literature type: | eBook |
| Language: | English |
| Series: |
SpringerBriefs in Mathematics,
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| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1007/978-3-319-59806-2 |
| Summary: |
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 |
| Carrier Form: | 1 online resource (VIII, 466 pages). |
| ISBN: | 9783319598062 |
| Index Number: | QA251 |
| CLC: | O153.3 |
| Contents: | Introduction -- Ring Theory -- MacWilliams Relations -- Families of Rings -- Self-Dual Codes -- Cyclic and Constacyclic Codes. |