arXiv subjects
Publications and source records attributed to Boumediene Et-Taoui.
We construct new, previously unknown parametric families of complex conference matrices and of complex Hadamard matrices of square orders and related them to complex equiangular tight frames.
A n-set of equi-isoclinic planes in R^r is a set of n planes spanning R^r each pair of which has the same non-zero angle arccos(sqrt(lambda)). We prove that for any odd integer k such that 2k=p^alpha+1, p odd prime, alpha non-negative integer the maximum number of equi-isoclinic planes with angle arccos(sqrt(1/(2k-2))) in R^(2k-1) is equal to 2k-1. The solution of this geometric problem is obtained by the construction of complex conference matrices of order 2k-1.