We give elementary recursive constructions of a pair of nested binary self-orthogonal codes with dual distance two and three for all odd n >= 11. Consequently, good quantum codes of minimum distance three for such length n are obtained via Steane's construction. Such quantum codes were explicitly constructed before only for a sparse set of lengths.
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Air Force Engn Univ, Dept Appl Math & Phys, Coll Arts & Sci, Xian 710051, Shaanxi, Peoples R ChinaAir Force Engn Univ, Dept Appl Math & Phys, Coll Arts & Sci, Xian 710051, Shaanxi, Peoples R China
Li, RH
Li, XL
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机构:Air Force Engn Univ, Dept Appl Math & Phys, Coll Arts & Sci, Xian 710051, Shaanxi, Peoples R China
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Air Force Engn Univ, Fundamentals Dept, Xian 710051, Shaanxi, Peoples R ChinaAir Force Engn Univ, Fundamentals Dept, Xian 710051, Shaanxi, Peoples R China
Guan, Chaofeng
Li, Ruihu
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Air Force Engn Univ, Fundamentals Dept, Xian 710051, Shaanxi, Peoples R ChinaAir Force Engn Univ, Fundamentals Dept, Xian 710051, Shaanxi, Peoples R China
Li, Ruihu
Lu, Liangdong
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Air Force Engn Univ, Fundamentals Dept, Xian 710051, Shaanxi, Peoples R ChinaAir Force Engn Univ, Fundamentals Dept, Xian 710051, Shaanxi, Peoples R China
Lu, Liangdong
Yao, Yu
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Air Force Engn Univ, Fundamentals Dept, Xian 710051, Shaanxi, Peoples R ChinaAir Force Engn Univ, Fundamentals Dept, Xian 710051, Shaanxi, Peoples R China