Isogeny-Based Post-Quantum Cryptography
Isogeny-Based Post-Quantum Cryptography
The present thesis focus on one of the post-quantum cryptosystems, in particular, the isogenybased cryptography. Because of its certain properties like the hard problem of computing isogenies between two elliptic curves, it makes it to be one of the few candidates for post-quantum cryptography. We will study the algorithms based on this isogeny-based cryptography and why they are useful against quantum computers. One of these algorithms is the Supersingular Isogeny Diffie Hellman (SIDH), a candidate for substituing ECDH in the Signal protocol to make it quantum safe.
Classificació AMS::68 Computer science::68W Algorithms, Àrees temàtiques de la UPC::Matemàtiques i estadística, Signal protocol, Quantum computer, Isogeny, Elliptic curves, Algorismes, SIDH, Algorithms
Classificació AMS::68 Computer science::68W Algorithms, Àrees temàtiques de la UPC::Matemàtiques i estadística, Signal protocol, Quantum computer, Isogeny, Elliptic curves, Algorismes, SIDH, Algorithms
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