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A technique for classifying Butson-type Hadamard matrices over the complex 4th roots of unity is developed. The technique resembles the approach used by Kharaghani and Tayfeh-Rezaie in their classification of the (real) (Formula presented.) Hadamard matrices, where the search is split into parts according to matrix types. A classification of the (Formula presented.) Butson-type Hadamard matrices over the complex 4th roots of unity is carried out; the number of such objects up to Hadamard equivalence is 1 955 625.
- Butson-type Hadamard matrix
- complex matrix
01/09/2015 → 31/08/2019
Project: Academy of Finland: Other research funding