DocumentCode
1433278
Title
Irreducible polynomials over composite Galois fields and their applications in coding techniques
Author
Green, D.H. ; Taylor, I.S.
Author_Institution
University of Manchester Institute of Science & Technology, Digital Processes Research Laboratories, Department of Electrical Engineering & Electronics, Manchester, UK
Volume
121
Issue
9
fYear
1974
fDate
9/1/1974 12:00:00 AM
Firstpage
935
Lastpage
939
Abstract
Tables of irreducible polynomials and their exponents are listed for certain small nonprime Galois fields. These include all such polynomials up to and including degree 5 for GF(4), degree 3 for GF(8) and GF(9), and degree 2 for GF(16). In addition, a single primitive polynomial is given for each degree up to and including degree 11 for GF(4), degree 7 for GF(8) and GF(9), and degree 5 for GF(16). A brief summary is given of several areas where these results may prove useful in providing an alternative to the more conventional approach.
Keywords
error correction codes; polynomials; coding techniques; composite Galois fields; error correction codes; irreducible polynomials;
fLanguage
English
Journal_Title
Electrical Engineers, Proceedings of the Institution of
Publisher
iet
ISSN
0020-3270
Type
jour
DOI
10.1049/piee.1974.0214
Filename
5251619
Link To Document