An application of a qd‐type discrete hungry Lotka–Volterra equation over finite fields to a decoding problem
Yan Pan, Xiang‐Ke Chang, Xing‐Biao Hu · Studies in Applied Mathematics · 2023
Abstract In this paper, the decoding problem for multiple Bose–Chaudhuri–Hocquenghem (BCH)‐Goppa codes over the same finite field is investigated. A new iterative decoding algorithm is proposed based on the quotient difference (qd)‐type discrete hungry Lotka–Volterra equation over finite fields. Compared with certain existing algorithms, the proposed algorithm manifests its advantage in computational complexity. A few of examples are presented to demonstrate its efficiency.