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Study on negacyclic codes over the ring $$\mathbb {Z}_{p}[u]/<u^{k+1}-u$$ Z p [ u ] / < u k + 1 - u

Journal of Applied Mathematics and Computing, 2018
In this paper, we study the properties of negacyclic codes over the ring $$R=\mathbb {Z}_{p}+u\mathbb {Z}_{p}+\dots +u^k\mathbb {Z}_{p} $$ , for odd prime p, using decomposition method. We have determined the
Tushar Bag, Ashish K. Upadhyay
openaire   +1 more source

DFT for cyclic code overF p +uF p + ยทยทยท +u k-1 F p

Journal of Applied Mathematics and Computing, 2006
The transform domain characterization of cyclic codes over finite fields using Discrete Fourier Transform(DFT) over an appropriate extension field is well known. In this paper, we extend this transform domain characterization for cyclic codes overF p +uF p
Jianfa Qian, Lina Zhang, Shixin Zhu
openaire   +1 more source

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