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Title: Cyclic and negacyclic codes of length 4 p<sup>s</sup>over F<inf>p</inf><sup>m</sup>+ u F<inf>pm</inf>
Authors: Hai Q. Dinh
Anuradha Sharma
Saroj Rani
Songsak Sriboonchitta
Keywords: Mathematics
Issue Date: 1-Sep-2018
Abstract: © 2018 World Scientific Publishing Company. Let Fpmbe the finite field of order pm, where pmis an odd prime and m is a positive integer. In this paper, we determine the algebraic structures of all cyclic and negacyclic codes of length 4psover the finite commutative chain ring R = Fpm+ uFpm, where u2= 0 and s is a positive integer. We also obtain the number of codewords in each of these codes. Among others, we establish the duals of all such codes and derive some self-dual cyclic and negacyclic codes of length 4psover R.
ISSN: 02194988
Appears in Collections:CMUL: Journal Articles

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