Isogeny-based cryptography in Julia/Nemo: a case study

Jean Kieffer
Jean Kieffer

ACM Communications in Computer Algebra, pp. 130-132, 2019.

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Abstract:

The Couveignes-Rostovtsev-Stolbunov key-exchange protocol based on isogenies of elliptic curves is of interest because it may resist quantum attacks, but its efficient implementation remains a challenge. We briefly present the computations involved, and efficient algorithms to achieve the critical steps, with timing results for our implem...More

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