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… (More)
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Topic mentions per year

Topic mentions per year

1999-2016
02419992016

Papers overview

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2012
2012
We introduce a constructive model for algebraic tori based on reduced divisors on singular curves. By using a singular… (More)
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2011
2011
  • Elisa Gorla
  • Encyclopedia of Cryptography and Security
  • 2011
In a series of three lectures, we will introduce the main concepts behind torus-based cryptography. Algebraic tori were suggested… (More)
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2009
2009
We consider representations of algebraic tori Tn(Fq) over finite fields. We make use of normal elliptic bases to show that, for… (More)
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2008
2008
We present efficient compression algorithms for subgroups of multiplicative groups of finite fields, we use our compression… (More)
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2008
2008
We construct smooth Calabi-Yau threefolds Z, torus-fibered over a dP9 base, with fundamental group π1 = Z2 ×Z2. To do this, the… (More)
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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… (More)
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2004
2004
We introduce a compact and efficient representation of elements of the algebraic torus. This allows us to design a new… (More)
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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… (More)
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2003
2003
We demonstrate the common bihamiltonian nature of several integrable systems. The first one is an elliptic rotator that is an… (More)
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2000
2000
Given a compact manifold M, we prove that every critical Riemannian metric g for the functional “first eigenvalue of the… (More)
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