V. G. Nikonov, V. S. Litvinenko, “About bijectivity of transformations determined by quasi-Hadamard matrixes”, Comp. nanotechnol., 2016, no. 1, 6

Computational nanotechnology

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Computational nanotechnology, 2016, Issue 1, Pages 6–13 (Mi cn56)

05.13.18 MATHEMATICAL MODELING, NUMERICAL METHODS AND COMPLEXES PROGRAMS

About bijectivity of transformations determined by quasi-Hadamard matrixes

V. G. Nikonov^a, V. S. Litvinenko^b

^a Russian Academy of Natural Sciences
^b Federal State Unitary Enterprise Scientific Research Institute KVANT

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Abstract: The article continues studies of bijective mapping determined by quasi-Hadamard matrixes started in [НЛ15]. It is proved that if mapping determined by quasi-Hadamard martixes $A_{n}$ is bijective, then the inverse mapping is set by the transposed matrix $A_{T}^n$. It is also proved that any quasi-Hadamard matrix of order 4, 6 or 8 determines bijective coordinate-threshold map.

Keywords: bijections, threshold functions, quasi-hadamard matrices.

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Document Type: Article

Language: Russian

Citation: V. G. Nikonov, V. S. Litvinenko, “About bijectivity of transformations determined by quasi-Hadamard matrixes”, Comp. nanotechnol., 2016, no. 1, 6–13

Citation in format AMSBIB

\Bibitem{NikLit16}

\by V.~G.~Nikonov, V.~S.~Litvinenko

\paper About bijectivity of transformations determined by quasi-Hadamard matrixes

\jour Comp. nanotechnol.

\yr 2016

\issue 1

\pages 6--13

\mathnet{http://mi.mathnet.ru/cn56}

\elib{https://elibrary.ru/item.asp?id=25821409}

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https://www.mathnet.ru/eng/cn/y2016/i1/p6

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