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Development of secret sharing schemes for video images based on Hadamard matrix in neural network modular basis

Keywords:

N.I. Chervyakov – Dr.Sc. (Eng.), Professor, Head of the Department of Applied Mathematics and Mathematical Modeling, North-Caucasus Federal University, Stavropol, Russia. E-mail: k-fmf-primath@stavsu.ru
M.G. Babenko – Ph.D. (Phys.-Math.), Associate Professor, Department of Applied Mathematics and Mathematical Modeling, North-Caucasus Federal University, Stavropol, Russia. E-mail: whbear@yandex.ru


The paper proposes a graphical secret sharing scheme using the Hadamard matrix in the modular neural network basis. A feature of this secret sharing scheme is a parallelism of machine operations achieved through a residue number system, which improves the speed of encryption and decryption of video in real time, which is confirmed by simulation. The proposed method is based on the use of Residue Number System in the neural and Hadamard matrices of a given order, allows to build an effective graphical secret sharing schemes with the given threshold.
References:

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  9. URL. http://oeis.org/A147774.

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