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of 127
pro vyhledávání: '"WU, RONGSHENG"'
Autor:
Wu, Rongsheng, Zhang, Xiande
Motivated by the sequence reconstruction problem initiated by Levenshtein, reconstruction codes were introduced by Cai \emph{et al}. to combat errors when a fixed number of noisy channels are available. The central problem on this topic is to design
Externí odkaz:
http://arxiv.org/abs/2207.00832
Quasi-polycyclic (QP for short) codes over a finite chain ring $R$ are a generalization of quasi-cyclic codes, and these codes can be viewed as an $R[x]$-submodule of $\mathcal{R}_m^{\ell}$, where $\mathcal{R}_m:= R[x]/\langle f\rangle$, and $f$ is a
Externí odkaz:
http://arxiv.org/abs/2111.04914
Publikováno v:
IEEE Trans. Inf. Theory 68(11) 2022, 7100-7106
We study codes with parameters of $q$-ary shortened Hamming codes, i.e., $(n=(q^m-q)/(q-1), q^{n-m}, 3)_q$. Firstly, we prove the fact mentioned in 1998 by Brouwer et al. that such codes are optimal, generalizing it to a bound for multifold packings
Externí odkaz:
http://arxiv.org/abs/2110.05256
Akademický článek
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Publikováno v:
IEEE Trans. Inf. Theory 65(6) 2019, 3841-3847
In this paper, two different Gray-like maps from $Z_p^\alpha\times Z_{p^k}^\beta$, where $p$ is prime, to $Z_p^n$, $n={\alpha+\beta p^{k-1}}$, denoted by $\phi$ and $\Phi$, respectively, are presented. We have determined the connection between the we
Externí odkaz:
http://arxiv.org/abs/1809.00008
Long quasi-cyclic codes of any fixed index $>1$ have been shown to be asymptotically good, depending on Artin primitive root conjecture in (A. Alahmadi, C. G\"uneri, H. Shoaib, P. Sol\'e, 2017). We use this recent result to construct good long additi
Externí odkaz:
http://arxiv.org/abs/1709.09865
We show that regular homogeneous two-weight $\mathbb{Z}_{p^k}$-codes where $p$ is odd and $k\geqslant 2$ with dual Hamming distance at least four do not exist. The proof relies on existence conditions for the strongly regular graph built on the coset
Externí odkaz:
http://arxiv.org/abs/1708.05347
In this paper, several classes of three-weight codes and two-weight codes for the homogeneous metric over the chain ring $R=\mathbb{F}_p+u\mathbb{F}_p+\cdots +u^{k-1}\mathbb{F}_{p},$ with $u^k=0,$ are constructed, which generalises \cite{SL}, the spe
Externí odkaz:
http://arxiv.org/abs/1612.00966
Autor:
Wu, Rongsheng, Shi, Minjia
Publikováno v:
In Finite Fields and Their Applications February 2020 62
Akademický článek
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