التنفيذ الفعال لبروتوكول التبادل الرئيسي القائم على DIFFIE HELLMAN القائم على ISOGENY على FPGA

Abstract

The era of quantum computers is approaching with great strides, because research in the field of quantum computers is increasing rapidly. A quantum computer with sufficient q-bits will have a great influence on conventional cryptography and possibly destroy its security by the application of appropriate algorithms. Therefore, it is called post quantum cryptography, which is a new area of cryptography, is necessary to be able to communicate safely in the age of quantum computers. The main challenge of the Supersingular Isogeny Diffie–Hellman (SIDH) cryptosystem is an optimized implementation thatkeeps keys as small as possible while performing isogenic calculations as fast as possible. Our aim was to apply this cryptosystem on an Field Programmable Ggate Array (FPGA) such as Xilinx Virtex-7 but we faced many challenges which were very difficult to overcome within the thesis timeframe, then we applied this cryptosystem on three diffrent small Single Borad Computer (SBC) devices which is running on the performance and compatibility is quitly low. For this reason, this thesis will present study of the performance of post quantum computer resistance SIDH on most pupolar SBC in the market dependings on the speed and time cost. This includes an implementation of SIDH in three deffrent Standerds 434, 503 which is a default stander of the implementation and 751 in Raspberry Pi 4 Model B, BeagleBone Black REV C and Orange Pi Zero Plus 2 (H5). The study presented the best is Raspberry Pi 4 Model B by 3.8% in average from the Orange pi and by 78.2% in average from the BeagleBone Black REV C except the SIDH P751 for 100 Iteration the orange pi is the best by 1.9% from the Raspberry Pi 4 Model B and by 78% from the BeagleBone Black REV C.