Arithmetic, Geometry, Cryptography and Coding Theory.
Lachaud, Gilles.
Arithmetic, Geometry, Cryptography and Coding Theory. - 1st ed. - 1 online resource (219 pages) - Contemporary Mathematics ; v.487 . - Contemporary Mathematics .
Intro -- Contents -- Preface -- On the fourth moment of theta functions at their central point -- On the construction of Galois towers -- Codes defined by forms of degree 2 on quadric varieties in P4(Fq) -- Curves of genus 2 with elliptic differentials and associated Hurwitz spaces -- A note on the Giulietti-Korchmaros maximal curve -- Subclose families, threshold graphs, and the weight hierarchy of Grassmann and Schubert codes -- Characteristic polynomials of automorphisms of hyperelliptic curves -- Breaking the Akiyama-Goto cryptosystem -- Hyperelliptic curves, L-polynomials, and random matrices -- On special finite fields -- Borne sur le degré des polynômes presque parfaitement non-linéaires -- How to use finite fields for problems concerning infinite fields -- On the generalizations of the Brauer-Siegel theorem.
9780821881668
Arithmetical algebraic geometry -- Congresses.
Coding theory -- Congresses.
Cryptography -- Congresses.
Electronic books.
QA242.5 -- .A755 2009eb
510
Arithmetic, Geometry, Cryptography and Coding Theory. - 1st ed. - 1 online resource (219 pages) - Contemporary Mathematics ; v.487 . - Contemporary Mathematics .
Intro -- Contents -- Preface -- On the fourth moment of theta functions at their central point -- On the construction of Galois towers -- Codes defined by forms of degree 2 on quadric varieties in P4(Fq) -- Curves of genus 2 with elliptic differentials and associated Hurwitz spaces -- A note on the Giulietti-Korchmaros maximal curve -- Subclose families, threshold graphs, and the weight hierarchy of Grassmann and Schubert codes -- Characteristic polynomials of automorphisms of hyperelliptic curves -- Breaking the Akiyama-Goto cryptosystem -- Hyperelliptic curves, L-polynomials, and random matrices -- On special finite fields -- Borne sur le degré des polynômes presque parfaitement non-linéaires -- How to use finite fields for problems concerning infinite fields -- On the generalizations of the Brauer-Siegel theorem.
9780821881668
Arithmetical algebraic geometry -- Congresses.
Coding theory -- Congresses.
Cryptography -- Congresses.
Electronic books.
QA242.5 -- .A755 2009eb
510