دوره 4، شماره 2 - ( 8-1388 )                   جلد 4 شماره 2 صفحات 55-64 | برگشت به فهرست نسخه ها

DOI: 10.7508/ijmsi.2009.02.006


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چکیده:  

Let E be an elliptic curve over the finite field F_{q}, P a point in E(F_{q}) of order n, and Q a point in the group generated by P. The discrete logarithm problem on E is to find the number k such that Q = kP. In this paper we reduce the discrete logarithm problem on E[n] to the discrete logarithm on the group F*_{q} , the multiplicative group of nonzero elements of Fq, in the case where n | q &minus 1, using generalized jacobian of E.

نوع مطالعه: پژوهشي | موضوع مقاله: عمومى