منابع مشابه
A Simple Cocyclic Jacket Matrices
We present a new class of cocyclic Jacket matrices over complex number field with any size. We also construct cocyclic Jacket matrices over the finite field. Such kind of matrices has close relation with unitary matrices which are a first hand tool in solving many problems in mathematical and theoretical physics. Based on the analysis of the relation between cocyclic Jacket matrices and unitary...
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We classify all the cocyclic Butson Hadamard matrices BH(n, p) of order n over the pth roots of unity for an odd prime p and np ≤ 100. That is, we compile a list of matrices such that any cocyclic BH(n, p) for these n, p is equivalent to exactly one element in the list. Our approach encompasses non-existence results and computational machinery for Butson and generalized Hadamard matrices that a...
متن کاملA Genetic Algorithm for Cocyclic Hadamard Matrices
A genetic algorithm for finding cocyclic Hadamard matrices is described. Though we focus on the case of dihedral groups, the algorithm may be easily extended to cover any group. Some executions and examples are also included, with aid of Mathematica 4.0.
متن کاملCocyclic Hadamard matrices over ℤt × ℤ22
A natural starting point in a systematic search for co cyclic Hadamard matrices is the study of the case of co cycles over the groups Zt x Z~, for t odd. The solution set includes all Williamson Hadamard matrices, so this set of groups is potentially a uniform source for generation of Hadamard matrices. We present our analytical and computational results.
متن کاملTransgression and the calculation of cocyclic matrices
It is conjectured that binary cocyclic matrices are a uniform source of Hadamard matrices. In testing this conjecture, it is useful to have a general method of calculating cocyclic matrices. We present such a method in this paper. The method draws on standard cohomology theory of finite groups. In particular we employ the Universal Coefficient Theorem, which expresses the second cohomology grou...
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2008
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2008/132674