A Class of Imprivitive BCH Codes and New Quantum Codes

摘要：

Let q be a prime power,l≥2 be even,n=(q-l)(qil-l)/ (qi-l). We give necessary and sufficient conditions on dual containing q-ary narrow-sense BCH codes of length n,and improve previous upper bound on necessary condition. We present a family of dual containing non-narrow-sense BCH codes of length n including the BCH code with maximal designed distance,calculate their dimensions and use them to construct new quantum codes,which are better than those constructed from narrow-sense BCH codes.

关键词： cyclotomic coset BCH (Bose-Chaudhuri-Hocquenghem) codes dual codes quantum codes

作者: Yang Liu Yuena Ma Ruihu Li Youqian Feng

作者单位: College of Science,Air Force Engineering University,Xian 710051,China

会议类型: 国际会议

会议名称: 2011 International Conference on Opto-Electronics Engineering and Information Science(2011光电电子工程与信息科学国际会议 ICOEIS 2011)

会议地点: 西安

会议语种:英文

页码: 1792-1796

在线出版日期: 2011-12-23（万方平台首次上网日期，不代表论文的发表时间）