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We give a systematic overview of techniques to compute efficient arithmetic modulo 2xpy±12xpy±1. This is useful for computations in the supersingular isogeny Diffie-Hellman (SIDH) key-exchange protoco...
This paper presents a new model of ordinary elliptic curves with fast arithmetic over field of characteristic two. In addition, we propose two isomorphism maps between new curves and Weierstrass curve...
Authentication protocols are indispensable in wireless sensor networks. Commonly they are based on asymmetric cryptographic algorithms. In this paper we investigate all categories of finite fields s...
In this paper we present a fast addition algorithm in the Jacobian of a Picard curve over a finite field Fq of characteristic different from 3. This algorithm has a nice geometric interpretation, comp...

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