Dissertation > Industrial Technology > Radio electronics, telecommunications technology > Communicate > Confidentiality of communications and communications security > Theory

The Research About Algorithm of Point Plus and Double Point on Elliptic Curve

Author SongChunYu
Tutor WangWenKang
School Northwest University for Nationalities
Course Applied Mathematics
Keywords Elliptic curve Point plus Double point Matlab program Public key cryptography
CLC TN918.1
Type Master's thesis
Year 2013
Downloads 16
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For elliptic curve public key cryptography has huge advantage than RSA public cryptography.many experts and scholars study it more detailedly. But the key technology of elliptic curve key cryptography is compute the kP of a known point P on elliptic curve. Therefore, the algorithm of compute kP is good or bad directly determines the efficiency of elliptic curve public key encryption password. So far, there is no program of encryption and decryption on Chinese characters with elliptic curve.This paper from research the relations of point plus on elliptie curve, study and analysis the efficiency of point plus and double point on elliptic curve in isomorphism meaning. In the end, we get the efficiency calculations and conclusions of the point plus and double point on elliptic curve.This paper first convert Chinese characters to their ASCII values. Then give the program with matlab software based on the relations of point on safe elliptic curve. Ultimately obtained a complete program for encrypting and decrypting Chinese characters.

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