Constructions of Butson Hadamard matrices invariant under Abelian p-groups

Schmidt，Bernhard1; Wong，Dai Quan1; Xiang，Qing2

2021-07-01

10.1016/j.jcta.2021.105433

JOURNAL OF COMBINATORIAL THEORY SERIES A   影响因子和分区

0097-3165

1096-0899

Let a and h be positive integers and let p be a prime. Let q,…,q be the distinct prime divisors of h and write Q(h)={∑cq:c∈Z,c≥0}. We provide constructions of group invariant Butson Hadamard matrices BH(G,h) in the following cases. 1. G=(Z) and at least one of the following conditions is satisfied. • p∈Q(h), • p+2∈Q(h) and h is even, • p+1=(q−1)(q−1) where q and q are distinct prime divisors of h. 2. G=Z×Z and p−1,p∈Q(h). 3. G=(Z) and p∈Q(h) for some divisor b of a with 1≤b

Group invariant matrices Orthogonal matrices Sums of roots of unity

SCI

英语

其他

WOS:000635201300004

MATHEMATICS

2-s2.0-85100678635

Scopus

1.School of Physical & Mathematical Sciences,Nanyang Technological University,Singapore,637371,Singapore
2.Department of Mathematics,National,Center for Applied Mathematics,Shenzhen,Southern University of Science and Technology,Shenzhen,518055,China

Schmidt，Bernhard,Wong，Dai Quan,Xiang，Qing. Constructions of Butson Hadamard matrices invariant under Abelian p-groups[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A,2021,181.

Schmidt，Bernhard,Wong，Dai Quan,&Xiang，Qing.(2021).Constructions of Butson Hadamard matrices invariant under Abelian p-groups.JOURNAL OF COMBINATORIAL THEORY SERIES A,181.

Schmidt，Bernhard,et al."Constructions of Butson Hadamard matrices invariant under Abelian p-groups".JOURNAL OF COMBINATORIAL THEORY SERIES A 181(2021).