DocumentCode :
935324
Title :
Formulas for the solutions of quadratic equations over GF(2^m) (Corresp.)
Author :
Chen, Chin-long
Volume :
28
Issue :
5
fYear :
1982
fDate :
9/1/1982 12:00:00 AM
Firstpage :
792
Lastpage :
794
Abstract :
There are several known approaches to solving quadratic equations over GF (2^{m}) . Here the approach to solving the equations is different from the known approaches in that the solutions are presented in terms of the parameters of the equations. The formulas for solving the quadratic equations are also used to solve the equations of degrees three and four. The results can be combined with other known techniques to solve equations of higher degrees.
Keywords :
Galois fields; Polynomials; Block codes; Decoding; Differential equations; Error correction codes; Galois fields; Logic; Notice of Violation; Parity check codes; Polynomials; Testing;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1982.1056557
Filename :
1056557
Link To Document :
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