Title :
Method for finding roots of quartic equation with application to RS codes
Author :
Yan, F.Y. ; Ko, C.C.
Author_Institution :
Dept. of Electr. Eng., Nat. Univ. of Singapore, Singapore
fDate :
12/10/1998 12:00:00 AM
Abstract :
A new method for finding the roots of a quartic equation over GF(2 m) is described. Based on successive transformation, using the relationship between any two roots of the equation and looking up a simple table, the method is simpler to implement and faster than existing search techniques
Keywords :
Galois fields; Reed-Solomon codes; equations; polynomials; RS codes application; fourth-degree polynomials; quartic equation; roots determination; successive transformation;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19981671
