Class of minimax error-corecting codes based on perfect binary arrays
DOI:
https://doi.org/10.3103/S0735272711090032Keywords:
perfect binary array, synthesis method, complementary matrix, error-correcting code, coding algorithm, decoding algorithm, maximum likelihoodAbstract
Developed the regular synthesis method of infinite family of minimax M(N)-classes of perfect binary arrays of order N = 2k, where k — arbitrary integer. On this basis, a new class of four-parameter minimax correcting M(n)-codes of length n = N2, which have many practically attractive properties, were constructed. The task of decoding is reduced to an effective procedure of majority estimation of parameters of received code words.
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