Introduction to coding theory. (2018)
- Record Type:
- Book
- Title:
- Introduction to coding theory. (2018)
- Main Title:
- Introduction to coding theory
- Further Information:
- Note: Jurgen Bierbrauer.
- Authors:
- Bierbrauer, Juergen
- Contents:
- Part I: AN ELEMENTARY INTRODUCTION TO CODING; ; THE CONCEPT OF CODING; Bitstrings and Binary Operations; The Hamming Distance; Binary Codes; Error-Correcting Codes in General; The Binary Symmetric Channel; The Sphere-Packing Bound; BINARY LINEAR CODES; The Concept of Binary Linear Codes; Block Coding; The Effect of Coding; Duality; Binary Hamming and Simplex Codes; Principle of Duality; GENERAL LINEAR CODES; Prime Fields; Finite Fields; Linear Codes Over Finite Fields; Duality and Orthogonal Arrays; Weight Distribution; The Game of Set; Syndrome Decoding; REED-SOLOMON CODES; RECURSIVE CONSTRUCTION I; UNIVERSAL HASHING; DESIGNS AND THE BINARY GOLAY CODE; SHANNON ENTROPY; ASYMPTOTIC RESULTS; 3-DIMENSIONAL CODES, PROJECTIVE PLANES; SUMMARY AND OUTLOOK; ; Part II: THE THEORY OF CODES AND THEIR APPLICATIONS; ; SUBFIELD CODES AND TRACE CODES; The Trace; Trace Codes and Subfield Codes; Galois Closed Codes; Automorphism Groups; CYCLIC CODES; Some Primitive Cyclic Codes of Length 15; Theory of Cyclic Codes; Decoding BCH-Codes; Constacyclic Codes; Remarks; RECURSIVE CONSTRUCTIONS, COVERING RADIUS; Construction X; Covering Radius; OA IN STATISTICS AND COMPUTER SCIENCE; OA and Independent Random Variables; Linear Shift Register Sequences; Cryptography; Two-Point Based Sampling; Resilient Functions; Derandomization of Algorithms; Authentication and Universal Hashing; THE GEOMETRIC DESCRIPTION OF CODES; Linear Codes as Sets of Points; Quadratic Forms, Bilinear Forms and Caps; Caps:Part I: AN ELEMENTARY INTRODUCTION TO CODING; ; THE CONCEPT OF CODING; Bitstrings and Binary Operations; The Hamming Distance; Binary Codes; Error-Correcting Codes in General; The Binary Symmetric Channel; The Sphere-Packing Bound; BINARY LINEAR CODES; The Concept of Binary Linear Codes; Block Coding; The Effect of Coding; Duality; Binary Hamming and Simplex Codes; Principle of Duality; GENERAL LINEAR CODES; Prime Fields; Finite Fields; Linear Codes Over Finite Fields; Duality and Orthogonal Arrays; Weight Distribution; The Game of Set; Syndrome Decoding; REED-SOLOMON CODES; RECURSIVE CONSTRUCTION I; UNIVERSAL HASHING; DESIGNS AND THE BINARY GOLAY CODE; SHANNON ENTROPY; ASYMPTOTIC RESULTS; 3-DIMENSIONAL CODES, PROJECTIVE PLANES; SUMMARY AND OUTLOOK; ; Part II: THE THEORY OF CODES AND THEIR APPLICATIONS; ; SUBFIELD CODES AND TRACE CODES; The Trace; Trace Codes and Subfield Codes; Galois Closed Codes; Automorphism Groups; CYCLIC CODES; Some Primitive Cyclic Codes of Length 15; Theory of Cyclic Codes; Decoding BCH-Codes; Constacyclic Codes; Remarks; RECURSIVE CONSTRUCTIONS, COVERING RADIUS; Construction X; Covering Radius; OA IN STATISTICS AND COMPUTER SCIENCE; OA and Independent Random Variables; Linear Shift Register Sequences; Cryptography; Two-Point Based Sampling; Resilient Functions; Derandomization of Algorithms; Authentication and Universal Hashing; THE GEOMETRIC DESCRIPTION OF CODES; Linear Codes as Sets of Points; Quadratic Forms, Bilinear Forms and Caps; Caps: Constructions and Bounds; ADDITIVE CODES; Basic Constructions and Applications; Additive Cyclic Codes; Quantum Codes; THE LAST CHAPTER; The Linear-Programming Bound; Algebraic-Geometric Codes; List Decoding; Expander Codes; tms-Nets; Sphere Packings; Designs; Nonlinear Codes; REFERENCES … (more)
- Edition:
- 1st
- Publisher Details:
- Boca Raton : Chapman & Hall/CRC
- Publication Date:
- 2018
- Extent:
- 1 online resource, illustrations (black and white)
- Subjects:
- 003.54
Coding theory - Languages:
- English
- ISBNs:
- 9781351989602
- Related ISBNs:
- 9781482296372
9781351992459
9781315273082 - Notes:
- Note: Description based on CIP data; resource not viewed.
- Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.346435
- Ingest File:
- 01_298.xml