New Optimal Asymmetric Quantum Codes Derived from Negacyclic Codes
New Optimal Asymmetric Quantum Codes Derived from Negacyclic Codes
复制标题
由负循环码衍生的新的最优非对称量子码
DOI：
10.1007/s10773-013-1784-z
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发表时间：
2014-01-01
影响因子：
1.4
通讯作者：
Lin, Jie
中科院分区：
文献类型：
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作者：
Chen, Jian-Zhang;Li, Jian-Ping;Lin, Jie
量子最大距离可分码（MDS码）的构造问题已经被许多学者研究了多年。本文利用非对称循环码构造了两类非对称量子码。第一类是参数为$[[q^{2}+1，q ^<$2}+1-2（t+k+1），（2k+2）/（2 t +2）]]_{q^{2}}$的非对称量子码，其中0≤t≤k≤（q−1）/2，和k，n是正整数。第二类是参数为$[[（q^{2}+1）/2，（q^{2}+1）/2-2（t+k），（2k+1）/（2 t +1）]]_{q^{2}}$的非对称量子码，其中1≤t≤k≤（q-1）/2，k为n个正整数。此外，所构造的非对称量子码是最优的，并且与文献中的码不同。
The construction of quantum maximum-distance-separable (MDS) codes have been studied by many researchers for many years. Here, by using negacyclic codes, we construct two families of asymmetric quantum codes. The first family is the asymmetric quantum codes with parameters $[[q^{2}+1,q^{2}+1-2(t+k+1),(2k+2)/(2t+2)]]_{q^{2}}$, where 0≤t≤k≤(q−1)/2,, andk,tare positive integers. The second one is the asymmetric quantum codes with parameters $[[(q^{2}+1)/2,(q^{2}+1)/2-2(t+k),(2k+1)/(2t+1)]]_{q^{2}}$, where 1≤t≤k≤(q−1)/2, andk,tare positive integers. Moreover, the constructed asymmetric quantum codes are optimal and different from the codes available in the literature.