JP Journal of Algebra, Number Theory and Applications
Volume 17, Issue 1, Pages 21 - 25
(May 2010)
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A CONCISE FORMULA ON ELLIPTIC CURVES OVER FINITE FIELDS
Lingyun Li and Shaohua Zhang
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Abstract: In this note, using the property of the twist, we obtain a concise formula about the sum of the number of elements of group of rational points on some kinds of elliptic curves over the finite field. This formula can be generalized to the generic case. Moreover, we give some interesting remarks. |
Keywords and phrases: elliptic curve, point counting problem, finite fields, the twist of a curve, RSA. |
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