Constructions of Butson Hadamard matrices invariant under Abelian p-groups

• المؤلفون الرئيسيون: Schmidt, Bernhard, Wong, Dai Quan, Xiang, Qing
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2022
• الموضوعات: Science::Mathematics; Group Invariant Matrices; Orthogonal Matrices
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/159805

Let a and h be positive integers and let p be a prime. Let q1,…,qt be the distinct prime divisors of h and write Q(h)={∑i=1tciqi:ci∈Z,ci≥0}. We provide constructions of group invariant Butson Hadamard matrices BH(G,h) in the following cases. 1. G=(Zp)2a and at least one of the following conditions i...