Constructions of new families of nonbinary asymmetric quantum BCH codes and subsystem BCH codes  

作　　者：RiGuang Leng Zhi Ma 

机构地区：[1]Informat Sci & Technol Inst, Zhengzhou 450002, Peoples R China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2012年第3期465-469,共5页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National High Technology Research and Development Program of China (Grant No. 2011AA010803);the National Natural Science Foundation of China (Grant No. 60403004);the Outstanding Youth Foundation of Henan Province (Grant No. 0612000500)

摘　　要：Two code constructions generating new families of good nonbinary asymmetric quantum BCH codes and good nonbinary subsystem BCH codes are presented in this paper.The first one is derived from q-ary Steane's enlargement of CSS codes applied to nonnarrow-sense BCH codes.The second one is derived from the method of defining sets of classical cyclic codes.The asymmetric quantum BCH codes and subsystem BCH codes here have better parameters than the ones available in the literature.Two code constructions generating new families of good nonbinary asymmetric quantum BCH codes and good nonbinary subsystem BCH codes are presented in this paper. The first one is derived from q-ary Steane＇s enlargement of CSS codes applied to non- narrow-sense BCH codes. The second one is derived from the method of defining sets of classical cyclic codes. The asymmetric quantum BCH codes and subsystem BCH codes here have better parameters than the ones available in the literature.

关 键 词：asymmetric quantum BCH codes subsystem BCH codes 

分 类 号：TP311.1[自动化与计算机技术—计算机软件与理论] TN911.22[自动化与计算机技术—计算机科学与技术]