International audienceWe show how to speed up the computation of isomorphisms of hyperelliptic curves by using covariants. We also obtain new theoretical and practical results concerning models of these curves over their field of moduli
International audienceLet p be an odd prime number and g ≥ 2 be an integer. We present an algorithm ...
International audienceThis paper is devoted to the study of the Galois descent obstruction for hyper...
International audienceThis paper is devoted to the study of the Galois descent obstruction for hyper...
International audienceWe show how to speed up the computation of isomorphisms of hyperelliptic curve...
AbstractWe apply classical invariant theory of binary forms to explicitly characterize isomorphism c...
Related numeric data and programs are available on the web pages of the authorsInternational audienc...
Related numeric data and programs are available on the web pages of the authorsInternational audienc...
We present a simple and direct method of counting the number of the isomorphism classes of hyperelli...
The reduced equations for the hyperelliptic curves of genus 2 over $\mathbb{F}_{5^m}$ is given and t...
AbstractWe apply classical invariant theory of binary forms to explicitly characterize isomorphism c...
We give the number and representatives of isomorphism classes of hyperelliptic curves of genus g def...
AbstractWe give the number and representatives of isomorphism classes of hyperelliptic curves of gen...
Summary: "An algorithm for finding an automorphism group of a hyperelliptic curve y^2 = p(x) with pi...
Koblitz, Solinas, and others investigated a family of elliptic curves which admit faster cryptosyste...
Koblitz, Solinas, and others investigated a family of elliptic curves which admit faster cryptosyste...
International audienceLet p be an odd prime number and g ≥ 2 be an integer. We present an algorithm ...
International audienceThis paper is devoted to the study of the Galois descent obstruction for hyper...
International audienceThis paper is devoted to the study of the Galois descent obstruction for hyper...
International audienceWe show how to speed up the computation of isomorphisms of hyperelliptic curve...
AbstractWe apply classical invariant theory of binary forms to explicitly characterize isomorphism c...
Related numeric data and programs are available on the web pages of the authorsInternational audienc...
Related numeric data and programs are available on the web pages of the authorsInternational audienc...
We present a simple and direct method of counting the number of the isomorphism classes of hyperelli...
The reduced equations for the hyperelliptic curves of genus 2 over $\mathbb{F}_{5^m}$ is given and t...
AbstractWe apply classical invariant theory of binary forms to explicitly characterize isomorphism c...
We give the number and representatives of isomorphism classes of hyperelliptic curves of genus g def...
AbstractWe give the number and representatives of isomorphism classes of hyperelliptic curves of gen...
Summary: "An algorithm for finding an automorphism group of a hyperelliptic curve y^2 = p(x) with pi...
Koblitz, Solinas, and others investigated a family of elliptic curves which admit faster cryptosyste...
Koblitz, Solinas, and others investigated a family of elliptic curves which admit faster cryptosyste...
International audienceLet p be an odd prime number and g ≥ 2 be an integer. We present an algorithm ...
International audienceThis paper is devoted to the study of the Galois descent obstruction for hyper...
International audienceThis paper is devoted to the study of the Galois descent obstruction for hyper...