Title :
Decoding of Hermitian codes: the key equation and efficient error evaluation
Author :
O´Sullivan, Michael E.
Author_Institution :
Dept. of Math., Nat. Univ. of Ireland, Cork, Ireland
fDate :
3/1/2000 12:00:00 AM
Abstract :
This paper presents a generalization of the key equation to Hermitian codes. The syndrome is interpreted as a power series and the product of this power series with a locator polynomial gives the error evaluator polynomial. The computation of the evaluator polynomial may be done iteratively using a modified version of a previously published computationally efficient algorithm for computing locator polynomials
Keywords :
algebraic geometric codes; decoding; polynomials; series (mathematics); Hermitian codes; algebraic geometric codes; computationally efficient algorithm; decoding; efficient error evaluation; error evaluator polynomial; key equation; locator polynomial; power series; syndrome; Computational geometry; Cost accounting; Equations; H infinity control; Hardware; Information theory; Iterative algorithms; Iterative decoding; Mathematics; Polynomials;
Journal_Title :
Information Theory, IEEE Transactions on