Normal view MARC view ISBD view

A Course in Algebraic Error-Correcting Codes / Simeon Ball

By: Ball, SimeonContributor(s): Ball, SimeonMaterial type: Text

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 BAL

Contents:

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.

Summary: 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

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings ( 1 )
Title notes ( 2 )
Comments ( 0 )

Holdings
Item 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

Total holds: 0

Browsing Mathematics Departmental Library shelves Close shelf browser (Hides shelf browser)

Previous								Next
Previous	003.54 PAR Coding theorems of Classical and Quantum information Theory	004 BLU Foundations of Data Science	005.714 HAN Data Mining : concepts and techniques	005.717 BAL A Course in Algebraic Error-Correcting Codes	005.72 XAM Block Error-Correcting Codes	005.82 YAS Cryptography :An Introduction	006.3 BEH Intelligent systems and control : principles and applications	Next

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

There are no comments on this title.

to post a comment.