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2010•Computer Knowledge and TechnologyRequires access

Application of the Number Theory in Cryptography

Bai Yong-xiang

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Abstract

This thesis focus on basic knowledge of number theory and its applications in cryptography. introduce the background, current situation of the cryptography, and research purpose and significance of cryptography. Expounded classical cryptography, modern cryptography, focusing on the DES, RSA, EIGamal, elliptic curve cryptography (ECC) Finally, on cryptography theory and algorithms are put forward.This research work is of great significance to the future research work.

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What this paper is about

This thesis focus on basic knowledge of number theory and its applications in cryptography. introduce the background, current situation of the cryptography, and research purpose and significance of cryptography. Expounded classical cryptography, modern cryptography, focusing on the DES, RSA, EIGamal, elliptic curve cryptography (ECC) Finally, on cryptography theory and algorithms are put forward.This research work is of great significance to the future research work.

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OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This thesis focus on basic knowledge of number theory and its applications in cryptography. introduce the background, current situation of the cryptography, and research purpose and significance of cryptography. Expounded classical cryptography, modern cryptography, focusing on the DES, RSA, EIGamal, elliptic curve cryptography (ECC) Finally, on cryptography theory and algorithms are put forward.This research work is of great significance to the future research work.

Key concepts: Cryptography, Financial cryptography, Computer science, Neural cryptography, ID-based cryptography, Elliptic curve cryptography, Lattice-based cryptography, PKCS #1

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