Results 1 to 10 of about 1,908 (218)
FROM HYPERELLIPTIC TO SUPERELLIPTIC CURVES
Albanian Journal of Mathematics, 2019 survey paper on hyperelliptic and superelliptic curves; 96 ...
Andreas Malmendier, T Shaska
exaly +5 more sources
Self-pairings on hyperelliptic curves [PDF]
Journal of Mathematical Cryptology, 2013 A self-pairing is a pairing computation where both inputs are the same group element. Self-pairings are used in some cryptographic schemes and protocols. In this paper, we show how to compute the Tate–Lichtenbaum pairing on a curve more efficiently than
Galbraith Steven D., Zhao Chang-An
doaj +3 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +2 more sources
Weierstrass points on modular curves X0(N) fixed by the Atkin–Lehner involutions [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – The authors have determined whether the points fixed by all the full and the partial Atkin–Lehner involutions WQ on X0(N) for N ≤ 50 are Weierstrass points or not.
Mustafa Bojakli, Hasan Sankari
doaj +1 more source
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
doaj +1 more source
Forum of Mathematics, Sigma, 2021 We study smoothing of pencils of curves on surfaces with normal crossings. As a consequence we show that the canonical divisor of $\overline {\mathcal {M}}_{g,n}$ is not pseudoeffective in some range, implying that $\overline {\mathcal {M}}_{12,6 ...
Daniele Agostini, Ignacio Barros
doaj +1 more source
On quadratic residue codes and hyperelliptic curves [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 For an odd prime p and each non-empty subset S⊂GF(p), consider the hyperelliptic curve X S defined by y 2 =f S (x), where f S (x) = ∏ a∈S (x-a).
David Joyner
doaj +2 more sources
Hyperelliptic curves and newform coefficients [PDF]
Journal of Number Theory, 2021 We study which integers are admissible as Fourier coefficients of even integer weight newforms. In the specific case of the tau-function, we show that for all odd primes $\ell < 100$ and all integers $m \geq 1$, we have $$ τ(n) \neq \pm \ell, \pm 5^m.
Spencer Dembner, Vanshika Jain
openaire +2 more sources