Results 61 to 70 of about 13,211 (169)

The Weil correspondence and universal special geometry

open access: yesJournal of High Energy Physics
The Weil correspondence states that the datum of a Seiberg-Witten differential is equivalent to an algebraic group extension of the integrable system associated to the Seiberg-Witten geometry. Remarkably this group extension represents quantum consistent
Sergio Cecotti
doaj   +1 more source

Algebraic Immunities of Functions over Finite Fields

open access: yes, 2005
A general mathematical definition for a function from $GF(q)^n$ to $GF(q)^m$ to resist to cryptanalytic attacks is developed. It generalize the definition of Algebraic Immunity for Stream Cipher to any finite field and also Block Cipher. This algebraic immunity correspond to equations with low leading term according a monomial ordering.
Ars, Gwénolé, Faugère, Jean-Charles
openaire   +2 more sources

On dihedral algebraic function fields

open access: yes, 1993
Let \(N\) be an extension of the rational function field \(k= \mathbb{F}_ q(X)\) with Galois group \(\text{Gal} (N/k) \simeq D_{2\ell}\) the dihedral group, where \(\mathbb{F}_ q\) is the field with \(q\) elements, \(q\) a power of \(p\), and prime \(\ell\neq p,2\). The author presents results on the decomposition of the prime divisors of \(k\) in \(N\)
openaire   +2 more sources

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