空军工程大学学报（自然科学版）2011，Vol.12Issue(1)：87-89,3.DOI:10.3969/j.issn.1009-3516.2011.01.019
斜对称q2-分圆陪集及其应用研究
A Study of Skew Symmetric q2 - cyclotomic Coset and Its Application
摘要
Abstract
On the basis of concepts of skew symmetric -cyclotomic coset and skew asymmetric coset pair, and their properties deeply studied, and methods determined, a maximal design distance of BCH codes with length contained in its Hermitian dual is studied.Thus, such an unsolved problem for maximal design distance of BCH codes with length is solved, upper bound of maximal design distance of BCH codes previously known is improved, and a new upper bound picked up is sharp.By utilizing these Hermitian dual containing non - narrow - sense BCH codes,many new quantum codes with good parameters are constructed, these new quantum codes are better than that constructed from narrow- sense BCH codes in the literature.关键词
q2-分圆陪集/斜非对称偶/BCH码/量子码Key words
q2 -cyclotomic coset/ skew asymmetric coset pairs/ BCH codes/ quantum codes分类
数理科学引用本文复制引用
李瑞虎,左飞,刘杨..斜对称q2-分圆陪集及其应用研究[J].空军工程大学学报（自然科学版）,2011,12(1):87-89,3.基金项目
国家自然科学基金资助项目(11071255) （11071255）
陕西省自然科学基础研究计划资助项目(SJ08A02) （SJ08A02）
