Error correcting codes with mathematica
Igor Gashkov
- 02 Jun 2003
- pp 737-746
TL;DR: The author (with Kenneth Hulth) got the idea to develop a nonstandard, methodical-oriented course where hands-on sessions could add substantial understanding in the introduction of mentioned mathematical concepts.
read more
Abstract: The author (with Kenneth Hulth) got the idea to develop a nonstandard, methodical-oriented course where hands-on sessions could add substantial understanding in the introduction of mentioned mathematical concepts. The package in MATHEMATICA in the field "Coding Theory" was developed for course "Error-Correcting codes with MATHEMATICA", for students on advanced undergraduate level.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Constant Weight Codes with Package CodingTheory.m in Mathematica
Igor Gashkov
- 06 Jun 2004
TL;DR: The author considers a some construction of codes as union of two codes with parameters (n, 2a, a + b), that in some cases gives codes the best than codes obtained with use Juxtaposing.
Non binary codes and mathematica calculations: reed-solomon codes over GF (2 n )
Igor Gashkov
- 22 May 2005
TL;DR: Using “Mathematica” and package “Coding Theory” the authors give some examples of effective changing of basis which gives the binary code with greatest minimum distance and codes which have the same distance independently of basis changing.
Using the package Coding Theory for a search technique for Quasi-perfect Codes
Igor Gashkov
- 11 Nov 2008
TL;DR: By using of possibilities of the package “Coding Theory “ in “Mathematica” author check and correct some classical codes and show that one of codes is quasi‐perfect code.
References
•Book
The Theory of Error-Correcting Codes
F.J. MacWilliams,Neil J. A. Sloane +1 more
- 01 Jan 1977
TL;DR: This book presents an introduction to BCH Codes and Finite Fields, and methods for Combining Codes, and discusses self-dual Codes and Invariant Theory, as well as nonlinear Codes, Hadamard Matrices, Designs and the Golay Code.
12.4K
Foundations of coding : theory and applications of error-correcting codes, with an introduction to cryptography and information theory
Jiří Adámek
- 22 Mar 1991
TL;DR: In this paper, Huffman codes and Reed-Muller codes with easy decoding cyclic codes Polynomials and Finite Fields BCH Codes: Strong Codes Correcting Multiple Errors Fast decoding of BCH codes Convolutional Codes
35