Constructions of new families of nonbinary CSS codes

详细信息    查看全文

• 作者：Giuliano G. La Guardia ; Reginaldo Palazzo Jr.
• 关键词：Cyclotomic cosets ; Bose– ; Chaudhuri– ; Hocquenghem (BCH) codes ; Calderbank– ; Shor– ; Steane (CSS) codes
• 刊名：Discrete Mathematics
• 出版年：2010
• 出版时间：6 November 2010
• 年：2010
• 卷：310
• 期：21
• 页码：2935-2945
• 全文大小：358 K

文摘

New families of good q-ary (q is an odd prime power) Calderbank–Shor–Steane (CSS) quantum codes derived from two distinct classical Bose–Chaudhuri–Hocquenghem (BCH) codes, not necessarily self-orthogonal, are constructed. These new families consist of CSS codes whose parameters are better than the ones available in the literature and comparable to the parameters of quantum BCH codes generated by applying the q-ary Steane’s enlargement of CSS codes.