Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Massierer, Maike"'
Autor:
Ionica, Sorina, Kilicer, Pinar, Lauter, Kristin, Garcia, Elisa Lorenzo, Massierer, Maike, Manzateanu, Adelina, Vincent, Christelle
Publikováno v:
Research in Number Theory, SpringerOpen, 2019, 5 (1), pp.article n. 9
In this article we prove an analogue of a theorem of Lachaud, Ritzenthaler, and Zykin, which allows us to connect invariants of binary oc-tics to Siegel modular forms of genus 3. We use this connection to show that certain modular functions, when res
Externí odkaz:
http://arxiv.org/abs/1807.08986
In this paper we study the security of a proposal for Post-Quantum Cryptography from both a number theoretic and cryptographic perspective. Charles-Goren-Lauter in 2006 [CGL06] proposed two hash functions based on the hardness of finding paths in Ram
Externí odkaz:
http://arxiv.org/abs/1806.05709
Autor:
Ballentine, Sean, Guillevic, Aurore, García, Elisa Lorenzo, Martindale, Chloe, Massierer, Maike, Smith, Benjamin, Top, Jaap
Schoof's classic algorithm allows point-counting for elliptic curves over finite fields in polynomial time. This algorithm was subsequently improved by Atkin, using factorizations of modular polynomials, and by Elkies, using a theory of explicit isog
Externí odkaz:
http://arxiv.org/abs/1701.01927
Publikováno v:
LMS J. Comput. Math. 19 (2016) 220-234
Let C/Q be a curve of genus three, given as a double cover of a plane conic. Such a curve is hyperelliptic over the algebraic closure of Q, but may not have a hyperelliptic model of the usual form over Q. We describe an algorithm that computes the lo
Externí odkaz:
http://arxiv.org/abs/1605.04708
Autor:
Gorla, Elisa, Massierer, Maike
We give an optimal-size representation for the elements of the trace zero subgroup of the Picard group of an elliptic or hyperelliptic curve of any genus, with respect to a field extension of any prime degree. The representation is via the coefficien
Externí odkaz:
http://arxiv.org/abs/1405.2733
Autor:
Gorla, Elisa, Massierer, Maike
We discuss how to apply Gaudry's index calculus algorithm for abelian varieties to solve the discrete logarithm problem in the trace zero variety of an elliptic curve. We treat in particular the practically relevant cases of field extensions of degre
Externí odkaz:
http://arxiv.org/abs/1405.1059
Autor:
Gorla, Elisa, Massierer, Maike
Using Semaev's summation polynomials, we derive a new equation for the $\mathbb{F}_q$-rational points of the trace zero variety of an elliptic curve defined over $\mathbb{F}_q$. Using this equation, we produce an optimal-size representation for such
Externí odkaz:
http://arxiv.org/abs/1403.0126
Autor:
Hess, Florian, Massierer, Maike
We give a function field specific, algebraic proof of the main results of class field theory for abelian extensions of degree coprime to the characteristic. By adapting some methods known for number fields and combining them in a new way, we obtain a
Externí odkaz:
http://arxiv.org/abs/1304.2131
Autor:
Hess, Florian, Massierer, Maike
Publikováno v:
In Journal of Number Theory May 2016 162:86-115
Autor:
Greiner, Simon (Dr. rer. nat.), Massierer, Maike (Dr. phil.), Loderhose, Claudia (Dr.), Lutz, Bernd (Dipl.-Ing.), Stumpf, Frederic (Dr. rer. nat.), Wiemer, Franziska
Since its recent publication in August 2021, the new international standard \(\it ISO/SAE 21434\) Road vehicles – Cybersecurity engineering has become the leading standard for security engineering in automotive domains. It defines comprehensive req
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8390ae6c96a180b908419a21204fbd82