A non-reducible Meyer‑Muller's like elliptic curve cryptosystem

Santi Martínez, Josep M. Miret · IEEE Latin America Transactions · 2012

In this paper we present a novel variant of Meyer‑M¨uller's elliptic curve cryptosystem. Unlike Meyer‑ M¨uller's proposal and its Chua-Ling's variant, the one presented here is not reducible to Rabin‑Williams' cryptosystem. This is formally proven under the assumption that computing half points on elliptic curves defined over the ring Z/nZ is hard when the factorization of n is unknown.

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