Elliptic Curve Cryptosystems On Reconfigurable Hardware

Elliptic Curve Cryptosystems on Reconfigurable HardwareInformation security technology is a compositive subject, which includes information theory, computer science, cryptography and other aspects fields. It aims to research the protection method of information, which are transferring in the computer system and communication network. Also it is responsible to the security, secrecy, verity and integrity of the information. Among them, crypto technology is the core of the information security technology.With the computer network continuously penetrating to various fields, the application of cryptography is expending. For example, digital signature, identity distinguish are both the new technology and application derived from the cryptography.ECC is the one of the known public crypto methods that provide the best strength-per-bit. With the deeper application of IC card in the field of Finance and Telecom, the ECC crypto system will not only upgrade the application level of IC card, but also open up more application fields. Nowadays, more and more IC cores based on all kinds of crypto algorithm appear. The research of the ECC crypto has much of value in research as well as application.An encryption algorithm, on the basis of deep studying on modern cryptology theories especially the theory of elliptic curve, is presented and an integrated circuit design based on it is described in this dissertation.This thesis is composed of following parts: the fundamental theory of the modern cryptology is briefly researched, in which the mathematic model of cryptology, data encrypt principle and Galois field theory related with elliptic curve crypto is discussed. Also we study the ECC crypto theory in the field of public crypto system, in which the ECC encrypt principle, safety, reliability, as well as the structure of ECC based on Galois field is focused on. Then we show an algorithm design of the elliptic curve crypto based on Galois field. As a main part, the design theory and concrete solution of it are presented step by step, IC chip design method for implementation of the algorithm is described in detail. Finally, we discuss the application of the ECC crypto in the field of computer secret communication.