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The construction of optimal linear block error-correcting codes is not aneasy problem, for this, many studies describe methods for generating good errorcorrecting codes in terms of minimum distance. In a previous work, we havepresented the multiple impulse method (MIM) to evaluate the minimum distance oflinear codes. In this paper we will present an optimization of the MIM methodby genetic algorithms, and we found many new optimal Double and TripleCirculant Codes (DCC & TCC) with the highest known parameters using the MIMmethod as an evaluator of the minimum distance. Two approaches are used in theexploration of the space of generators; the first is based on geneticalgorithms, however the second is on the random search algorithm.

Discovery of good double and triple circulant codes using multiple impulse method