Electron. J. Diff. Equ., Vol. 2015 (2015), No. 303, pp. 1-7.

Differential operators over particular elliptic curves spaces with cryptographic applications

Oana Adriana Ticleanu

Finding optimal implementations to solve differential equations in the case of boundary conditions is an open problem. In the particular case of using nonsupersingular elliptic curves there are applications in the asymmetric encryption field. Starting from the general implementations, we constructed solutions for the nonsupersingular elliptic curves case. Our developments are of high interest in the domain of nonlinear cryptography and have a good resistance for differential cryptanalysis.

Submitted September 12, 2015. Published December 11, 2015.
Math Subject Classifications: 35H20, 35S15, 12H20, 11G07.
Key Words: Elliptic curves; cryptography; differential equation.

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Oana Adriana Ticleanu
University of Craiova, Street A.I.
Cuza 13, 200585 Craiova, Romania
email: oana.ticleanu@inf.ucv.ro

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