Approaching the Minimum Distance Problem by Algebraic Swarm-Based Optimizations

Year 2021, Volume: 13 Issue: 1, 129 - 134, 30.06.2021

Serap Şahinkaya , Deniz Üstün

https://doi.org/10.47000/tjmcs.825565

Abstract

Finding the minimum distance of linear codes is one of the main problems in coding theory. The importance of the minimum distance comes from its error-correcting and error-detecting capability of the handled codes.
It was proven that this problem is an NP-hard that is the solution of this problem can be guessed and verified in polynomial time but no particular rule is followed to make the guess and some meta-heuristic approaches in the literature have been used to solve this problem.
In this paper, swarm-based optimization techniques, bat and firefly, are applied to the minimum distance problem by integrating the algebraic operator to the handled algorithms.

Keywords

Minimum distance, minimum-weight codeword, BCH codes, optimization, heuristic, bat algorithm, firefly algorithm

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