Skip to search formSkip to main content>Semantic Scholar Semantic Scholar's Logo

Search

You are currently offline. Some features of the site may not work correctly.

Semantic Scholar uses AI to extract papers important to this topic.

2016

2016

We give explicit parametrizations of the algebraic tori $$\mathbb {T}_{n}$$Tn over any finite field $$\mathbb {F}_{q}$$Fq for any… Expand

2012

2012

We introduce a constructive model for algebraic tori based on reduced divisors on singular curves. By using a singular… Expand

2011

2011

We introduce cryptography based on algebraic tori, give a new public key system called CEILIDH, and compare it to other discrete… Expand

2009

2009

We consider representations of algebraic tori $T_n(F_q)$ over finite fields. We make use of normal elliptic bases to show that… Expand

2008

2008

We present efficient compression algorithms for subgroups of multiplicative groups of finite fields, we use our compression… Expand

2008

2008

In this paper we provide explicit formulae to compute bilinear pairings in compressed form. We indicate families of curves where… Expand

2006

2006

We use the Bateman-Horn conjecture to study the order of the set of Fq-rational points of primitive subgroups that arise in torus… Expand

2004

2004

We introduce a compact and efficient representation of elements of the algebraic torus. This allows us to design a new discrete… Expand

Highly Cited

2003

Highly Cited

2003

We introduce the concept of torus-based cryptography, give a new public key system called CEILIDH, and compare it to other… Expand

Highly Cited

1985

Highly Cited

1985

Let X be a semisimple algebraic monoid with unit group G. Associated with E is its polyhedral root system ( X , @, C), where X… Expand