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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… Expand
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Papers overview

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
  • 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… Expand
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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
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2008
2008
We present efficient compression algorithms for subgroups of multiplicative groups of finite fields, we use our compression… Expand
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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
  • 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… Expand
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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 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
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