Читать книгу Handbook of Intelligent Computing and Optimization for Sustainable Development - Группа авторов - Страница 113

This chapter discussed modular arithmetic, complex number arithmetic, matrix algebra, and elliptic curve arithmetic to create non-linear cryptographic transformations by using the integration of their mathematical properties. The intelligent computing on the complex plane based on the integration of complex number arithmetic with modular arithmetic is beneficial to the cryptographic applications. The proposed techniques need double the memory areas to store the keys however their security levels are generally squared. The complex plane supports the non-linear cryptographic transformations not only for traditional ciphers and elliptic curve cryptography but also for quantum cryptography in order to get more secure for sustainable development. This chapter points to the importance of complex plane in the modern cryptography.