K. Draziotis

activity

20092026

most citedAn Effective Version of Chevalley-Weil Theorem for Projective Plane Curves

2 citations · 3 across the 10 of their papers we have counts for

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3 papers · 1 filter

math.NT2022

Descent methods for studying integer points on $y^{n} = f (x) g (x), n \geq 2$

K. A. Draziotis

We study the integer points on superelliptic and hyperelliptic curves of the form $y^{n} = f (x) g (x),$ $n \geq 2, deg f + deg g \geq 4.$

math.NT2022

Practical solution of some families of quartic and sextic diophantine hyperelliptic equations

Konstantinos A. Draziotis

Using elementary number theory we study Diophantine equations over the rational integers of the following form, $y^{2} = (x + a) (x + a + k) (x + b) (x + b + k)$ , $y^{2} = c^{2} x^{4} + a x^{2} + b$ and $y^2=(x^2-1)…

cs.CR2022

Message recovery attack to NTRU using a lattice independent from the public key

Marios Adamoudis, K. A. Draziotis

In the present paper we introduce a new attack on NTRU-HPS cryptosystem using lattice theory and Babai's Nearest Plane Algorithm. This attack has many similarities with the classic…

Descent methods for studying integer points on yn=f(x)g(x), n≥2

Practical solution of some families of quartic and sextic diophantine hyperelliptic equations

Message recovery attack to NTRU using a lattice independent from the public key

Descent methods for studying integer points on $y^{n} = f (x) g (x), n \geq 2$