Minimal and maximal cyclic codes of length 2p
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Date
2022
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Abstract
In this paper, we compute the maximal and minimal codes of length 2p over finite
fields q with p and q are distinct odd primes and f( )= 1 p p − is the multiplicative order of q
modulo 2p. We show that, every cyclic code is a direct sum of minimal cyclic codes
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Keywords
Linear and cyclic codes, Cyclotomic classes, Decomposition of ideals in semi-simple algebras.