The Resource Codes and rings : theory and practice, Minjia Shi, Abel Alahmadi, Patrick Solé

Codes and rings : theory and practice, Minjia Shi, Abel Alahmadi, Patrick Solé

Label
Codes and rings : theory and practice
Title
Codes and rings
Title remainder
theory and practice
Statement of responsibility
Minjia Shi, Abel Alahmadi, Patrick Solé
Creator
Contributor
Subject
Language
eng
Member of
Cataloging source
NhCcYBP
http://library.link/vocab/creatorName
Shi, Minjia
Dewey number
003.54
Index
index present
LC call number
QA268
LC item number
.S55 2017
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1960-
http://library.link/vocab/relatedWorkOrContributorName
  • Alahmadi, Adel
  • Sole, Patrick
  • EBSCOhost
Series statement
Pure and applied mathematics
http://library.link/vocab/subjectName
  • Coding theory
  • Rings (Algebra)
Label
Codes and rings : theory and practice, Minjia Shi, Abel Alahmadi, Patrick Solé
Link
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1465559
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Front Cover; Codes and Rings; Copyright; Contents; Foreword; Introduction; 1 Motivation; 1.1 The Geometry of Codes; 1.2 Sequences; 1.2.1 Periodic Correlation; 1.3 Lattices; 1.4 Maps; 1.4.1 Prehistory; 1.4.2 History; 1.4.3 Present; 1.5 Designs; References; 2 Rings; 2.1 Basic Rings; 2.2 Local Rings; 2.3 Galois Rings; 2.3.1 Hensel Lifting; 2.3.2 Bottom-up; 2.3.3 Top-down; 2.3.4 Multiplicative Structure; 2.4 Skew Polynomial Rings; 2.5 Chain Rings; 2.6 Frobenius Rings; References; 3 Distances; 3.1 The Lee Metric; 3.1.1 The Sphere-packing Bound; 3.1.2 A Plotkin-like Bound
  • 3.1.3 A Singleton-like Bound3.1.4 Other Bounds; 3.2 The Homogeneous Metric; 3.2.1 Sphere-packing Bound; 3.2.1.1 A Plotkin-like Bound; 3.2.1.2 A Singleton-like Bound; 3.2.1.3 Other Bounds; 3.3 Hamming Metric; 3.3.1 Codes over Frobenius Rings; 3.3.2 A Griesmer-like Bound; 3.3.3 A Singleton-like Bound; References; 4 Few Weight Codes; 4.1 One-weight Codes; 4.1.1 Preliminaries; 4.1.2 One-homogeneous Weight Codes over Finite Chain Rings; 4.2 Two-weight Codes; 4.2.1 Linear Codes and Geometries over Finite Frobenius Rings; 4.2.2 Two-weight Codes over a Finite Frobenius Ring
  • 4.2.3 Two-weight Codes and Strongly Regular Graphs4.2.4 Constructions; 4.2.5 Properties of Codes with Two Homogeneous Weights; 4.2.6 Gray Isometries; 4.3 On Two-weight Z2k-codes; 4.3.1 Background; 4.3.1.1 Graph Theory; 4.3.2 Coding Theory; 4.3.3 Z2k-codes and Syndrome Graphs; 4.3.4 Two-weight Z4-codes; References; 5 Linear Codes; 5.1 Chain Rings; 5.1.1 Generator Matrix; 5.1.2 Dual Code; 5.1.3 Free Codes; 5.2 Modular Independence; References; 6 Self-dual Codes; 6.1 Chain Rings; 6.1.1 Existence Conditions; 6.1.2 Type II Codes; 6.2 Commutative Frobenius Rings; 6.2.1 CRT Theory
  • 6.2.2 Existence Results6.3 Noncommutative Frobenius Rings; References; 7 Cyclic Codes; 7.1 Splitting Codes; 7.1.1 Divisors of xn-1; 7.1.2 A Characterization of Splitting Cyclic Codes; 7.2 Polycyclic Codes; 7.2.1 Sequential Codes; 7.3 Multivariable Codes; 7.3.1 Multivariable Semisimple Codes; 7.3.1.1 Decomposition of R[X1,...,Xr]/; 7.3.1.2 Description of the Codes; 7.3.1.3 Hamming Distance of the Codes; 7.3.2 Dual Codes of Abelian Semisimple Codes; 7.3.3 Self-dual Abelian Semisimple Codes; References; 8 Quasicyclic Codes; 8.1 Quasicyclic Codes over Finite Fields
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9780128133910
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(NhCcYBP)99973746302
Label
Codes and rings : theory and practice, Minjia Shi, Abel Alahmadi, Patrick Solé
Link
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1465559
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Front Cover; Codes and Rings; Copyright; Contents; Foreword; Introduction; 1 Motivation; 1.1 The Geometry of Codes; 1.2 Sequences; 1.2.1 Periodic Correlation; 1.3 Lattices; 1.4 Maps; 1.4.1 Prehistory; 1.4.2 History; 1.4.3 Present; 1.5 Designs; References; 2 Rings; 2.1 Basic Rings; 2.2 Local Rings; 2.3 Galois Rings; 2.3.1 Hensel Lifting; 2.3.2 Bottom-up; 2.3.3 Top-down; 2.3.4 Multiplicative Structure; 2.4 Skew Polynomial Rings; 2.5 Chain Rings; 2.6 Frobenius Rings; References; 3 Distances; 3.1 The Lee Metric; 3.1.1 The Sphere-packing Bound; 3.1.2 A Plotkin-like Bound
  • 3.1.3 A Singleton-like Bound3.1.4 Other Bounds; 3.2 The Homogeneous Metric; 3.2.1 Sphere-packing Bound; 3.2.1.1 A Plotkin-like Bound; 3.2.1.2 A Singleton-like Bound; 3.2.1.3 Other Bounds; 3.3 Hamming Metric; 3.3.1 Codes over Frobenius Rings; 3.3.2 A Griesmer-like Bound; 3.3.3 A Singleton-like Bound; References; 4 Few Weight Codes; 4.1 One-weight Codes; 4.1.1 Preliminaries; 4.1.2 One-homogeneous Weight Codes over Finite Chain Rings; 4.2 Two-weight Codes; 4.2.1 Linear Codes and Geometries over Finite Frobenius Rings; 4.2.2 Two-weight Codes over a Finite Frobenius Ring
  • 4.2.3 Two-weight Codes and Strongly Regular Graphs4.2.4 Constructions; 4.2.5 Properties of Codes with Two Homogeneous Weights; 4.2.6 Gray Isometries; 4.3 On Two-weight Z2k-codes; 4.3.1 Background; 4.3.1.1 Graph Theory; 4.3.2 Coding Theory; 4.3.3 Z2k-codes and Syndrome Graphs; 4.3.4 Two-weight Z4-codes; References; 5 Linear Codes; 5.1 Chain Rings; 5.1.1 Generator Matrix; 5.1.2 Dual Code; 5.1.3 Free Codes; 5.2 Modular Independence; References; 6 Self-dual Codes; 6.1 Chain Rings; 6.1.1 Existence Conditions; 6.1.2 Type II Codes; 6.2 Commutative Frobenius Rings; 6.2.1 CRT Theory
  • 6.2.2 Existence Results6.3 Noncommutative Frobenius Rings; References; 7 Cyclic Codes; 7.1 Splitting Codes; 7.1.1 Divisors of xn-1; 7.1.2 A Characterization of Splitting Cyclic Codes; 7.2 Polycyclic Codes; 7.2.1 Sequential Codes; 7.3 Multivariable Codes; 7.3.1 Multivariable Semisimple Codes; 7.3.1.1 Decomposition of R[X1,...,Xr]/; 7.3.1.2 Description of the Codes; 7.3.1.3 Hamming Distance of the Codes; 7.3.2 Dual Codes of Abelian Semisimple Codes; 7.3.3 Self-dual Abelian Semisimple Codes; References; 8 Quasicyclic Codes; 8.1 Quasicyclic Codes over Finite Fields
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9780128133910
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(NhCcYBP)99973746302

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