由内摆线诱导的六阶复Hadamard矩阵族
A two-parameter family of complex Hadamard matrices of order 6 induced by hypocycloids
摘要：
从较小的块构造阿达玛矩阵是实阿达玛矩阵理论中的一个众所周知的技术：张量阿达玛矩阵和Williamson，Ito的经典阵列都是涉及较小阶构建块的过程。我们应用一个新的块结构为6阶，以获得一个以前未知的2维家庭的复杂阿达玛矩阵。我们的结果推广了最近几位作者发现的D_6（t）和B_6（t）族。作为一个直接的应用程序的MUB-三元组的顺序6的2-参数家庭的存在。
英文摘要：
Constructions of Hadamard matrices from smaller blocks is a well-known technique in the theory of real Hadamard matrices: tensoring Hadamard matrices and the classical arrays of Williamson, Ito are all procedures involving smaller order building blocks. We apply a new block-construction for order 6 to obtain a previously unknown 2-dimensional family of complex Hadamard matrices. Our results extend the families D_6(t) and B_6(t) found by various authors recently. As a direct application the existence of a 2-parameter family of MUB-triplets of order 6 is shown.
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