Block Codes

Grigorii Kabatiansky, Evgenii Krouk, Andrei Ovchinnikov, Sergei Semenov

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Original languageEnglish
Title of host publicationModulation and Coding Techniques in Wireless Communications
Number of pages77
ISBN (Electronic)9780470976777
ISBN (Print)9780470745052
Publication statusPublished - 1 Jan 2010
Externally publishedYes


  • Algebraic structures, as groups, fields and vector spaces - semigroup, set M with binary operation
  • Block codes
  • Bounds on minimum code distance
  • Cyclic codes, forming explored subclass of linear codes - of known good codes, or cyclic codes
  • Hamming distance, transmitted and received words - equal to number of errors during transmission over channel
  • Linear block codes - model of reliable data communication system
  • Model of data communication system
  • Process of error correction for cyclic code
  • Systematic encoding, first k symbols of any codeword - and corresponding symbols of uncoded message
  • Theory of block codes, and block code features - correcting independent errors

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