F_q上的量子码和F_p上的量子拟循环码

Mathematical Sciences and Applications E-Notes Pub Date : 2019-04-30 DOI:10.36753/MATHENOT.559260

Y. Cengellenmis, A. Dertli

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引用次数: 4

摘要

本文利用有限环R = F q + vF q +…上的循环码构造了F q上的量子码。+ v m−1 F q，其中p为素数，q = p s m−1 | p−1 v m = v。得到了fq上的量子纠错码的参数。给出了一些例子。利用F / p的自对偶基，得到了F / p上的量子拟循环码。

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The Quantum Codes over F_q and Quantum Quasi-cyclic Codes over F_p

In this paper, the quantum codes over F q are constructed by using the cyclic codes over the ﬁnite ring R = F q + vF q + ... + v m − 1 F q , where p is prime, q = p s , m − 1 | p − 1 and v m = v . The parameters of quantum error correcting codes over F q are obtained. Some examples are given. Morever, the quantum quasi-cyclic codes over F p are obtained, by using the self dual basis for F p s over F p .

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Mathematical Sciences and Applications E-Notes

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