RINGS, GROEBNER BASES, AND CODES - DE

This book contains three parts. Part I provides a new proof of the fact that a finite commutative ring may be expressed as a sum of finite local rings. A Galois ring is constructed within a finite local ring by means of a Teichmuller representation system. Part II presents some variants of the Reed-Muller codes. Part III gives a standard basis for a linear code over a prime field. A decoding algorithm for binary linear codes using a Groebner basis is developed.

About the author

Harinaivo Andriatahiny is presently Doctor-HDR of Mathematics at the University of Antananarivo in Madagascar. His main research interests include applied algebra and coding theory.

Product details

• Authors: Harinaivo Andriatahiny, Vololona Harinoro Rakotomalala
• Publisher: LAP Lambert Academic Publishing
• Languages: English
• Product format: Paperback / Softback
• Released: 30.12.2022
• EAN: 9786205529539
• ISBN: 9786205529539
• No. of pages: 88
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous