Decoding of Hermitian codes: the key equation and efficient error evaluation
Michael E. O’Sullivan · IEEE Transactions on Information Theory · 2000
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.