Nonbinary quantum error-correcting codes from algebraic curves

被引：15
|
作者：
Kim, Jon-Lark [1 ]
Walker, Judy [2 ]
机构：
[1] Univ Louisville, Dept Math, Louisville, KY 40292 USA
[2] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA
来源：
DISCRETE MATHEMATICS | 2008年 / 308卷 / 14期
基金：
美国国家科学基金会;
关键词：
algebraic geometric codes; nonbinary quantum codes;
D O I：
10.1016/j.disc.2007.08.038
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a new exposition and proof of a generalized CSS construction for nonbinary quantum error-correcting codes. Using this we construct nonbinary quantum stabilizer codes with various lengths, dimensions, and minimum distances from algebraic curves. We also give asymptotically good nonbinary quantum codes from a Garcia-Stichtenoth tower of function fields which are constructible in polynomial time. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：3115 / 3124
页数：10
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