编码与曲线(影印版)
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库存44件
作者Judy L. Walker
出版社高等教育出版社
ISBN9787040534917
出版时间2020-04
装帧平装
开本16开
定价55元
货号28541424
上书时间2024-11-02
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导语摘要
目录
IAS/Park City Mathematics Institute
Preface
Chapter1.Introduction to Coding Theory
§1.1.Overview
§1.2.Cyclic Codes
Chapter2.Boundson Codes
§2.1.Bounds
§2.2.Asymptotic Bounds
Chapter3.Algebraic Curves
§3.1.Algebraically Closed Fields
§3.2.Curves and the Projective Plane
Chapter4.Nonsingularity and the Genus
§4.1.Nonsingularity
§4.2.Genus
Chapter5.Points, Functions, and Divisors on Curves
Chapter6.Algebraic Geometry Codes
Chapter7.Good Codes from Algebraic Geometry
AppendixA.Abstract Algebra Review
§A.1.Groups
§A.2.Rings, Fields, Ideals, and Factor Rings
§A.3.Vector Spaces
§A.4.Homomorphisms and Isomorphisms
AppendixB.Finite Fields
§B.1.Background and Terminology
§B.2.Classification of Finite Fields
§B.3.Optional Exercises
AppendixC.Projects
§C.1.Dual Codes and Parity Check Matrices
§C.2.BCH Codes
§C.3.Hamming Codes
§C.4.Golay Codes
§C.5.MDS Codes
§C.6.Nonlinear Codes
Bibliography
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