Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Stirpe, Claudio"'
Publikováno v:
Des. Codes Cryptogr. 90, 1347-1368 (2022)
We provide a recipe to construct towers of fields producing high order elements in $\mathrm{GF}(q,2^n)$, for odd $q$, and in $\mathrm{GF}(2,2 \cdot 3^n)$, for $n \ge 1$. These towers are obtained recursively by $x_{n}^2 + x_{n} = v(x_{n - 1})$, for o
Externí odkaz:
http://arxiv.org/abs/2009.10572
Publikováno v:
In Journal of Algebra 1 December 2023 635:790-821
Publikováno v:
J. Number Theory. 195 (2019) 96-114
We present a strategy to obtain explicit equations for the modular double covers associated respectively to both a split and a non-split Cartan subgroup of $\text{GL}_2(\mathbb F_{p})$ with $p$ prime. Then we apply it successfully to the level $13$ c
Externí odkaz:
http://arxiv.org/abs/1706.03988
Publikováno v:
Journal of Algebra 635 (2023) 790-821
We describe an algorithm to compute the number of points over finite fields on a broad class of modular curves: we consider quotients $X_H/W$ for $H$ a subgroup of $\GL_2(\mathbb Z/n\mathbb Z)$ such that for each prime $p$ dividing $n$, the subgroup
Externí odkaz:
http://arxiv.org/abs/1603.07489
Autor:
Mercuri, Pietro, Stirpe, Claudio
In this paper we prove that there are exactly eight function fields, up to isomorphism, over finite fields with class number one.
Externí odkaz:
http://arxiv.org/abs/1406.5365
Autor:
Stirpe, Claudio
I give a counter example of function field over GF(2) of genus 4 with class number one. This result contradicts a previous result in [2], Section 2 so that proof is wrong.
Externí odkaz:
http://arxiv.org/abs/1311.6318
Publikováno v:
In Journal of Number Theory February 2019 195:96-114
Autor:
Stirpe, Claudio
In this paper I prove that for any prime $p$ there is a constant $C_p>0$ such that for any $n>0$ and for any $p$-power $q$ there is a smooth, projective, absolutely irreducible curve over $\mathbb{F}_q$ of genus $g\leq C_p q^n$ without points of degr
Externí odkaz:
http://arxiv.org/abs/1203.0945
Autor:
Mercuri, Pietro, Stirpe, Claudio
Publikováno v:
In Journal of Number Theory September 2015 154:365-374
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