New self-dual additive F4-codes constructed from circulant graphs

New self-dual additive F4-codes constructed from circulant graphs
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从循环图构造的新自对偶加法 F4 代码

DOI:
10.1016/j.disc.2016.08.023
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发表时间:
2017
期刊:
Discrete Math.
影响因子:
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通讯作者:
Masaaki Harada and Markus Grassl
Masaaki Harada and Markus Grassl
中科院分区:
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文献类型:
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作者:
Michinori Ishiwata;Hidemitsu Wadade;Masaaki Harada and Markus Grassl

文献摘要

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为了构造(n,d)=(56,15),(57,15),(58,16),(63,16),(67,17),(70,18),(71,18),(79,19),(83,20),(87,20),(89,21),(95,20)的量子[[n,0,d]]码,我们从循环图中构造了长度为n,重量最小d的自对偶可加F4-码。首次构造了具有这些参数的量子码。
In order to construct quantum [[n, 0, d]] codes for (n, d)=(56, 15),(57, 15),(58, 16),(63, 16),(67, 17),(70, 18),(71, 18),(79, 19),(83, 20),(87, 20),(89, 21),(95, 20), we construct self-dual additive F 4-codes of length n and minimum weight d from circulant graphs. The quantum codes with these parameters are constructed for the first time.