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The Resource A Course in Algebraic Error-Correcting Codes, by Simeon Ball, (electronic resource)

A Course in Algebraic Error-Correcting Codes, by Simeon Ball, (electronic resource)

Creator
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 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 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.--
Language
eng
Work
Publication
Edition
1st ed. 2020.
Extent
1 online resource (XIII, 177 pages)
Contents
  • Euclidean Plane
  • Sphere
  • Stereographic Projection and Inversions
  • Hyperbolic Plane
  • Lorentz-Minkowski Plane
  • Geometry of Special Relativity
  • Answers to Selected Exercises
  • Index
Isbn
9783030411534
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-41153-4
Instance
Label
A Course in Algebraic Error-Correcting Codes
Title
A Course in Algebraic Error-Correcting Codes
Statement of responsibility
by Simeon Ball
Creator
Subject
Language
eng
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 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 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.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Ball, Simeon
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Compact Textbooks in Mathematics,
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Information theory
  • Coding theory
  • Commutative algebra
  • Commutative rings
Label
A Course in Algebraic Error-Correcting Codes, by Simeon Ball, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-41153-4
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index
Control code
978-3-030-41153-4
Dimensions
unknown
Edition
1st ed. 2020.
Extent
1 online resource (XIII, 177 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783030411534
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
12 illustrations, 5 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1154512474
Label
A Course in Algebraic Error-Correcting Codes, by Simeon Ball, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-41153-4
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index
Control code
978-3-030-41153-4
Dimensions
unknown
Edition
1st ed. 2020.
Extent
1 online resource (XIII, 177 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783030411534
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
12 illustrations, 5 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1154512474

Subject

Member of

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