An Introduction Course in Elliptic Curve Cryptosystems
Kazuhisa TAKAGI
takagi@ge.kochi-ct.ac.jp
Kochi National College of Technology
Monobe,Nangoku-city Kochi
Kyouhei MURAYAMA
Kansai University
Yamate-machi,Suita-city Osaka
Abstract
With the wide use of Internet, the puplic key cryptosystems are widely noticed.AS RSA cryptosystem uses only Fermat little theorem and Chinese Remainder Theorem, it is easy to understand. But recently elliptic curve cryptosystems are put into practice. This cryptosystem uses modules on elliptic curve , and it is difficult to understand.
We made an interactive learning course in elliptic curve cryptosystem as Internet homepages. The CGI script is coded by Javascript and Perl 5.003 with the module CGI.pm. It includes the following contents: elliptic curve y^2=x^3+b*x+c modules on elliptic curves JPEG files of elliptic curves elliptic curve y^2=x^3+b*x+c on finite fields the algorithm of elliptic curve cryptosystem offered by Menezes and Vanstone.
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