Arithmetic, Geometry, Cryptography and Coding Theory 2009.
Kohel, David.
Arithmetic, Geometry, Cryptography and Coding Theory 2009. - 1st ed. - 1 online resource (178 pages) - Contemporary Mathematics ; v.521 . - Contemporary Mathematics .
Intro -- Contents -- Preface -- Differentially 4-Uniform functions -- Computing Hironaka's invariants: Ridge and directrix -- Nondegenerate curves of low genus over small finite fields -- Faster side-channel resistant elliptic curve scalar multiplication -- Non linéarité des fonctions booléennes données par des Polynômes de degré binaire 3 définies sur F2m avec m pair -- A note on a maximal curve -- Computing Humbert surfaces and applications -- Genus 3 curves with many involutions and application to maximal curves in characteristic 2 -- Uniqueness of low genus optimal curves over F2 -- Group order formulas for reductions of CM elliptic curves -- Families of explicit isogenies of hyperelliptic Jacobians -- Computing congruences of modular forms and Galois representations modulo prime powers.
9780821882009
Arithmetical algebraic geometry -- Congresses.
Abelian varieties -- Congresses.
Coding theory -- Congresses.
Cryptography -- Congresses.
Electronic books.
QA242.5 -- .I58 2009eb
516.3/5
Arithmetic, Geometry, Cryptography and Coding Theory 2009. - 1st ed. - 1 online resource (178 pages) - Contemporary Mathematics ; v.521 . - Contemporary Mathematics .
Intro -- Contents -- Preface -- Differentially 4-Uniform functions -- Computing Hironaka's invariants: Ridge and directrix -- Nondegenerate curves of low genus over small finite fields -- Faster side-channel resistant elliptic curve scalar multiplication -- Non linéarité des fonctions booléennes données par des Polynômes de degré binaire 3 définies sur F2m avec m pair -- A note on a maximal curve -- Computing Humbert surfaces and applications -- Genus 3 curves with many involutions and application to maximal curves in characteristic 2 -- Uniqueness of low genus optimal curves over F2 -- Group order formulas for reductions of CM elliptic curves -- Families of explicit isogenies of hyperelliptic Jacobians -- Computing congruences of modular forms and Galois representations modulo prime powers.
9780821882009
Arithmetical algebraic geometry -- Congresses.
Abelian varieties -- Congresses.
Coding theory -- Congresses.
Cryptography -- Congresses.
Electronic books.
QA242.5 -- .I58 2009eb
516.3/5