Читать книгу Handbook of Intelligent Computing and Optimization for Sustainable Development - Группа авторов - Страница 95

Ni Ni Hla1* and Tun Myat Aung2†

1Faculty of Computing, University of Computer Studies, Yangon (UCSY), Shwe Pyi Thar Township, Yangon, Myanmar

2University of Information Technology (UIT), Hlaing Township, Yangon, Myanmar

Abstract

This chapter focuses on matrix algebra and elliptic curve arithmetic computation, going under the combination of modular number crunching and complex number crunching. It explains the intelligent computation of non-linear transformations using residue matrices and elliptic curve arithmetic in the plane made of complex numbers, which may be used in computing science areas dealing with the applications in cryptography to make them more stable. In classical ciphers, elliptic curve cryptography, and quantum cryptography, their computing properties in mathematics on the plane made of complex numbers are used to construct cryptographic non-linear transformation techniques.

Keywords: Complex number, cryptography, descryption, encryption, elliptic curve, matrix algebra, modular arithmetic, signature