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On LCP and checkable group codes over finite non-commutative Frobenius rings

2023/03/31 by Bhowmick, Sanjit, de la Cruz, Javier, Martínez-Moro, Edgar +1
#20C05 #94B05 #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2303.18194

Abstract

We provide a simple proof for a complementary pair of group codes over a finite non-commutative Frobenius ring of the fact that one of them is equivalent to the other one. We also explore this fact for checkeable codes over the same type of alphabet.

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