000			01880nam a22002657a 4500
003			RNL
005			20251216051652.0
008			251216b |||||||| |||| 00| 0 eng d
020			_a9783030411527
040			_aRCL
082			_a512 B17C
100			_aBall, Simeon _930139
245			_aA Course in Algebraic Error-Correcting Codes _c/Simeon Ball
260			_aBarcelona: _bSpringer Nature, _c2020.
300			_axiii, 177p. ; 23cm.
520			_aThis 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 Shannon’s 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 atthe 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.
546			_aEnglish
650			_aFront Matter _930140
650			_aShannon’s Theorem _930141
650			_aFinite Fields _930142
650			_aBlock Codes _930143
650			_aLinear Codes _930144
650			_aCyclic Codes _930145
942			_cBK
999			_c47612 _d47612