Let X be a tight t-design of dimension n, and let t = 5 or t = 7 (the open cases). An investigation of the lattice generated by X by using arithmetic theory of quadratic forms allows one to exclude infinitely many values of n.
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City Univ Hong Kong, Dept Math, Kowloon, Tat Chee Ave, Hong Kong, Peoples R ChinaCity Univ Hong Kong, Dept Math, Kowloon, Tat Chee Ave, Hong Kong, Peoples R China
Xiao, Yuchen
Zhuang, Xiaosheng
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City Univ Hong Kong, Dept Math, Kowloon, Tat Chee Ave, Hong Kong, Peoples R ChinaCity Univ Hong Kong, Dept Math, Kowloon, Tat Chee Ave, Hong Kong, Peoples R China
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Taiyuan Normal Univ, Sch Math & Stat, Taiyuan, Peoples R China
Hong Kong Polytech Univ, CAS AMSS PolyU Joint Lab Appl Math, Hong Kong, Peoples R ChinaTaiyuan Normal Univ, Sch Math & Stat, Taiyuan, Peoples R China
Li, Chao
Chen, Xiaojun
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机构:Taiyuan Normal Univ, Sch Math & Stat, Taiyuan, Peoples R China