Constructions of new families of nonbinary quantum codes
Constructions of new families of nonbinary quantum codes
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DOI：
10.1103/physreva.80.042331
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发表时间：
2009-10-01
影响因子：
2.9
通讯作者：
La Guardia, Giuliano G.
中科院分区：
文献类型：
--
作者：
La Guardia, Giuliano G.
本文提出了三种新的非二进制量子码的构造方法。前两个是从Hermitian自正交非狭义Bose-Chaudhuri-Hocquenghem（BCH）码中得到的。第三种是将Calderbank-Shor-Steane码的q元（q不等于2是素数方幂）Steane推广应用于欧几里德自正交非狭义BCH码。本文提出的量子非二进制BCH码的参数优于文献中的参数。
Three code constructions generating new families of good nonbinary quantum codes are presented in this paper. The first two ones are derived from Hermitian self-orthogonal non-narrow-sense Bose-Chaudhuri-Hocquenghem (BCH) codes. The third one is derived from q-ary (q not equal 2 is a prime power) Steane's enlargement of Calderbank-Shor-Steane codes applied to Euclidean self-orthogonal non-narrow-sense BCH codes. The quantum nonbinary BCH codes presented here have parameters better than the ones available in the literature.