Ivanenko D. Survivability improving methods for directional encryption schemes over truncated polynomials rings against side channel attacks on the implementation

Thesis for a Ph.D. science degree by specialty 05.13.21 information security systems. Kharkiv National University of Radioelectronics of the MES of Ukraine, Kharkiv, 2013. The thesis is devoted to research and justification of directional encryption schemes over truncated polynomials rings, ANSI X9.98 NTRU, that in contrast to the existing approaches allows to reach resistibility against side channel attacks on the implementation using SPA method that is based on operating with additional components, it results in 9% growth of the algorithm calculations time. There is a new universal reaction method against side channel attacks is proposed in the thesis, it is based on randomization of the t parameter and the b array that allows to increase the NTRU algorithm strength by n times. Keywords: Lattice, the polynomial, side channel attacks, consumption energy, SPA, DPA, CPA, Hamming weight, Hamming distance, convolution operation.