六阶复Hadamard矩阵：一个四参数族
Complex Hadamard matrices of order 6: a four-parameter family
摘要：
在本文中，我们构造了一个新的，以前未知的四参数家庭的复杂的Hadamard矩阵的顺序为6，其中的条目所描述的代数函数的各种六次多项式的根。我们猜想，新的，通用的家庭G与Karlsson的退化家庭K和陶的谱矩阵S形成一个详尽的列表复杂的阿达玛矩阵的顺序6。这样一个完整的表征可能最终导致著名的MUB-6问题的解决方案。
英文摘要：
In this paper we construct a new, previously unknown four-parameter family of complex Hadamard matrices of order 6, the entries of which are described by algebraic functions of roots of various sextic polynomials. We conjecture that the new, generic family G together with Karlsson's degenerate family K and Tao's spectral matrix S form an exhaustive list of complex Hadamard matrices of order 6. Such a complete characterization might finally lead to the solution of the famous MUB-6 problem.
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