A Computationally Efficient Online/Offline Signature Scheme for Underwater Wireless Sensor Networks [PDF]
Sensors, 2022 Underwater wireless sensor networks (UWSNs) have emerged as the most widely used wireless network infrastructure in many applications. Sensing nodes are frequently deployed in hostile aquatic environments in order to collect data on resources that are ...
Syed Sajid Ullah +7 more
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Secure medical image encryption with hyperelliptic curve based S-boxes [PDF]
Scientific ReportsTwo fundamental prerequisites are needed for symmetric encryption techniques. Diffusion is the first of them. Confusion is the most significant and second factor.
Amal S. Alali +4 more
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Enabling Secure Communication in Wireless Body Area Networks with Heterogeneous Authentication Scheme [PDF]
Sensors, 2023 Thanks to the widespread availability of Fifth Generation (5G) wireless connectivity, it is now possible to provide preventative or proactive healthcare services from any location and at any time.
Insaf Ullah +5 more
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Recovering the cluster picture of a polynomial over a discretely valued field [PDF]
Royal Society Open ScienceFor [Formula: see text], a separable polynomial of degree [Formula: see text] over a discretely valued field [Formula: see text], we describe how the cluster picture of [Formula: see text] over [Formula: see text], in other words, the set of tuples ...
Lilybelle Cowland Kellock
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Équation de Pell–Abel et applications
Comptes Rendus. Mathématique, 2022 In this paper, we show that there are solutions of degree $r$ of the equation of Pell–Abel on some real hyperelliptic curve of genus $g$ if and only if $ r > g$.
Gendron, Quentin
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Research on Skew-Frobenius Mapping and Effective Scalar Multiplication Algorithm on Hyperlliptic Curves [PDF]
Jisuanji gongcheng, 2017 In order to improve the computing efficiency of scalar multiplication on hyperelliptic curves,the skew-Frobenius mapping on the elliptic curve is extended to hyperelliptic curves,and a skew-Frobenius mapping is constructed on the hyperelliptic curve with
LU Yu,WANG Xueming
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A non-hyperelliptic curve with torsion Ceresa class
Comptes Rendus. Mathématique, 2021 We exhibit a non-hyperelliptic curve $C$ of genus 3 such that the class of the Ceresa cycle $[C]-[-C]$ in the intermediate Jacobian of $JC$ is torsion.
Beauville, Arnaud
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RFID Authentication Scheme Based on Hyperelliptic Curve Signcryption
IEEE Access, 2021 The implementation of efficient security mechanisms for Radio Frequency Identification (RFID) system has always been a continuous challenge due to its limited computing resources.
Usman Ali +7 more
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Group-theoretic Johnson classes and a non-hyperelliptic curve with torsion Ceresa class [PDF]
Épijournal de Géométrie Algébrique, 2023 Let l be a prime and G a pro-l group with torsion-free abelianization. We produce group-theoretic analogues of the Johnson/Morita cocycle for G -- in the case of surface groups, these cocycles appear to refine existing constructions when l=2.
Dean Bisogno +3 more
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On the Prym variety of genus 3 covers of genus 1 curves [PDF]
Épijournal de Géométrie Algébrique, 2018 Given a generic degree-2 cover of a genus 1 curve D by a non hyperelliptic genus 3 curve C over a field k of characteristic different from 2, we produce an explicit genus 2 curve X such that Jac(C) is isogenous to the product of Jac(D) and Jac(X).
Christophe Ritzenthaler +1 more
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