Cyclic codes over \(R = F_p + uF_p + \cdots + u^{k - 1}F_p\) with length \(p^sn\)
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Publication:632794
DOI10.1016/J.INS.2010.10.021zbMath1211.94046OpenAlexW12737290MaRDI QIDQ632794
Shixin Zhu, Mu Han, Chungen Xu, Bennian Dou, Youpei Ye
Publication date: 28 March 2011
Published in: Information Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ins.2010.10.021
idealGalois ringcodes over ringsgenerator polynomialrepeated-root codescyclotomic cosetCyclic codesDiscrete Fourier transform
Related Items (5)
The homogeneous distance of \((1+u^2)\)-constacyclic codes over \(\mathbb{F}_2[u/\langle u^3\rangle\) and its applications] ⋮ Complete classification of \((\delta + \alpha u^2)\)-constacyclic codes over \(\mathbb{F}_{2^m} [u/\langle u^4 \rangle\) of oddly even length] ⋮ Construction of new quantum codes derived from constacyclic codes over \(\mathbb{F}_{q^2}+u\mathbb{F}_{q^2}+\cdots +u^{r-1}\mathbb{F}_{q^2}\) ⋮ Complete classification of \((\delta +\alpha u^2)\)-constacyclic codes over \(\mathbb {F}_{3^m}[u/\langle u^4\rangle \) of length \(3n\)] ⋮ \((1+\lambda u^2)\)-constacyclic codes of arbitrary length over \(F_{p^m}[u/\langle u^3\rangle \)]
Cites Work
- On self-dual ternary codes and their coordinate ordering.
- Cyclic codes over \(\mathbb{Z}_{4}\) of oddly even length.
- Cyclic codes over \(\mathbb Z_4\) of even length
- Fast, prime factor, discrete Fourier transform algorithms over \(\text{GF}(2^m)\) for \(8 \leqslant m \leqslant 10\)
- High speed decoding of the binary \((47, 24, 11)\) quadratic residue code
- On the generators of Z/sub 4/ cyclic codes of length 2/sup e/
- Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings
- Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/
- Repeated-root cyclic codes
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