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Given a CM sextic field K, we give an explicit method for finding and constructing all genus 3 hyperelliptic curves whose Jacobians have complex multiplication by the maximal order of this field. Our ...
We present two contributions in this paper. First, we give a quantitative analysis of the scarcity of pairing-friendly genus 2 curves, assuming the Riemann Hypothesis. This result is an improvement re...
The simple, computationally efficient LPN-based HB-like entity authentication protocols have attracted a great deal of attention in the past few years due to the broad application prospect in low-co...
The simple, computationally efficient LPN-based HB-like entity authentication protocols have attracted a great deal of attention in the past few years due to the broad application prospect in low-co...
We present an algorithm for constructing cryptographic hyperelliptic curves of genus 2 and p-rank 1, using the CM method. We also present an algorithm for constructing such curves that, in addition,...
We give easy ways to distinguish between the twists of an ordinary elliptic curve E over Fp in order to identify one with p + 1 − 2U points, when p = U2 + dV 2 with 2U, 2V 2 Z and E is constr...

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