Differential operators over particular elliptic curves spaces with cryptographic applications
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 constru...
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/303/abstr.html |
| Summary: | 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. |
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| ISSN: | 1072-6691 |