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Torus-based cryptography

Known as: Torus based cryptography 
Torus-based cryptography involves using algebraic tori to construct a group for use in ciphers based on the discrete logarithm problem. This idea was… 
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Papers overview

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2016
2016
We give explicit parametrizations of the algebraic tori $$\mathbb {T}_{n}$$Tn over any finite field $$\mathbb {F}_{q}$$Fq for any… 
2015
2015
A bstractThe geometry of elliptic fibrations translates to the physics of gauge theories in F-theory. We systematically develop… 
2011
2011
  • E. Gorla
  • Encyclopedia of Cryptography and Security
  • 2011
  • Corpus ID: 8496573
We introduce cryptography based on algebraic tori, give a new public key system called CEILIDH, and compare it to other discrete… 
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… 
2008
2008
In this paper we provide explicit formulae to compute bilinear pairings in compressed form. We indicate families of curves where… 
2008
2008
We present efficient compression algorithms for subgroups of multiplicative groups of finite fields, we use our compression… 
2006
2006
  • J. Gower
  • IACR Cryptol. ePrint Arch.
  • 2006
  • Corpus ID: 10197240
We use the Bateman-Horn conjecture to study the order of the set of Fq-rational points of primitive subgroups that arise in torus… 
2004
2004
We introduce a compact and efficient representation of elements of the algebraic torus. This allows us to design a new discrete… 
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… 
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…