Polynomial interpolation of the elliptic curve and XTR discrete logarithm

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Abstract

We prove lower bounds on the degree of polynomials interpolating the discrete logarithm in the group of points on an elliptic curve over a finite field and the XTR discrete logarithm, respectively.

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Lange, T., & Winterhof, A. (2002). Polynomial interpolation of the elliptic curve and XTR discrete logarithm. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2387, pp. 137–143). Springer Verlag. https://doi.org/10.1007/3-540-45655-4_16

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