A Course in Algebraic Error-Correcting Codes / Simeon Ball
Material type: TextPublisher number: :International Book Distributors | :Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi Series: Compact textbooks in mathematicsPublication details: Cham : Springer ©2020Description: xiii, 177 pages 24cmISBN: 9783030411527Subject(s): Computer science, information | Computer programming, programs and data | Error-correcting codes (Information theory)DDC classification: 005.717 BALItem type | Current library | Call number | Status | Notes | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
Mathematics Departmental Library | SNU LIBRARY | 005.717 BAL (Browse shelf(Opens below)) | Not For Loan | FPDA Grant | M318 |
Shannon's Theorem --
Finite Fields --
Block Codes --
Linear Codes --
Cyclic Codes --
Maximum Distance Separable Codes --
Alternant and Algebraic Geometric Codes --
Low Density Parity Check Codes --
Reed-Muller and Kerdock Codes --
p-Adic Codes.
This textbook provides a rigorous mathematical perspective on error-correcting codes, starting with the basics and progressing through to the state-of-the-art. Algebraic, combinatorial, and geometric approaches to coding theory are adopted with the aim of highlighting how coding can have an important real-world impact. Because it carefully balances both theory and applications, this book will be an indispensable resource for readers seeking a timely treatment of error-correcting codes. Early chapters cover fundamental concepts, introducing Shannons theorem, asymptotically good codes and linear codes. The book then goes on to cover other types of codes including chapters on cyclic codes, maximum distance separable codes, LDPC codes, p-adic codes, amongst others. Those undertaking independent study will appreciate the helpful exercises with selected solutions. A Course in Algebraic Error-Correcting Codes suits an interdisciplinary audience at the Masters level, including students of mathematics, engineering, physics, and computer science. Advanced undergraduates will find this a useful resource as well. An understanding of linear algebra is assumed
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