Concatenated structure of cyclic codes over $${\mathbb {Z}}_4$$ Z 4 of length 4n

Abstract

Let $$N=2^kn$$ N = 2 k n where n is odd and k a positive integer. We present a canonical form decomposition for every cyclic code over $${\mathbb {Z}}_4$$ Z 4 of length N, where each subcode is concatenated by a basic irreducible cyclic code over $${\mathbb {Z}}_4$$ Z 4 of length n as the inner code and a constacyclic code over a Galois extension ring of… (More)
DOI: 10.1007/s00200-015-0283-2

Topics

Cite this paper

@article{Cao2015ConcatenatedSO, title={Concatenated structure of cyclic codes over \$\$\{\mathbb \{Z\}\}_4\$\$ Z 4 of length 4n}, author={Yonglin Cao and Yuan Cao and Qingguo Li}, journal={Applicable Algebra in Engineering, Communication and Computing}, year={2015}, volume={27}, pages={279-302} }