Il faut distinguer les codes correcteurs d’erreurs de la cryptographie. Les codes correcteurs d’erreur servent à protéger l’information d’erreurs de transmission ou de stockage. On peut trouver dans ce texte, avec des références bibliographiques précises, des idées d’exposés ou d’applications pour plusieurs leçons portant sur l’algèbre linéaire ou les polynômes. (Les titres des leçons sont ceux...

Un groupe stable est dit monobasé si tout ensemble définissable est combinaison booléenne de cossettes de sous-groupes définissables. Cette propriété géométrique généralise celle des géométries projectives associées aux espaces vectoriels. La démonstration modèle-théorique de la conjecture de Mordell-Lang pour le cas de corps de fonctions [7] consiste à remplacer le groupe de type fini pour un ...

— A curve over a field k is pointless if it has no k-rational points. We show that there exist pointless genus-3 hyperelliptic curves over a finite field Fq if and only if q 6 25, that there exist pointless smooth plane quartics over Fq if and only if either q 6 23 or q = 29 or q = 32, and that there exist pointless genus-4 curves over Fq if and only if q 6 49. Résumé (Courbes de genre 3 et4 sa...

purpose: to report the results of orthoptic training in two middle-aged patients according to current theories. case report: a 56-year-old female with decompensated exophoria and myopia and a 68-year-old male with decompensated esophoria and moderate hyperopia underwent vision therapy according to standard procedures for improving fusional vergences and ocular accommodation. sheard and percival...

PURPOSE To measure the changes in astigmatism and in the degree of anisometropia when ametropes respond to accommodative stimulation. METHODS The accommodative responses of ametropes were binocularly measured with an improved photorefractometer (PR-1100), which objectively measured binocular refraction in all meridians simultaneously, when a visual fixation target was shown in natural space a...

We have studied natural accommodation in the eye of six specimens of cuttlefish (Sepia officinalis) as they were fed with fish and shrimp. Using infrared photoretinoscopy, we observed (1) that the resting refractive state of the cuttlefish was emmetropic or slightly hyperopic, (2) that accommodation took place only a fraction of a second before a strike and (3) that accommodation focused select...