Literatura científica selecionada sobre o tema "Racines de polynômes dans un corps fini"
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Artigos de revistas sobre o assunto "Racines de polynômes dans un corps fini"
Kraus, Alain. "Équation de Fermat et nombres premiers inertes". International Journal of Number Theory 11, n.º 08 (5 de novembro de 2015): 2341–51. http://dx.doi.org/10.1142/s1793042115501079.
Texto completo da fontePoizat, Bruno. "Une dualité entre fonctions booléennes". Journal of the Institute of Mathematics of Jussieu 9, n.º 3 (26 de abril de 2010): 633–52. http://dx.doi.org/10.1017/s1474748010000083.
Texto completo da fonteCar, Mireille, e Christian Mauduit. "Le poids des polynômes irréductibles à coefficients dans un corps fini". Journal d'Analyse Mathématique, 3 de junho de 2022. http://dx.doi.org/10.1007/s11854-022-0199-2.
Texto completo da fonteCar, Mireille, e Christian Mauduit. "Fonctions complètement $Q$-additives le long des polynômes irrèductibles à coefficients dans un corps fini". Acta Arithmetica, 2022. http://dx.doi.org/10.4064/aa191128-5-2.
Texto completo da fonteHelleloid, Geir, e Fernando Rodriguez-Villegas. "Counting Quiver Representations over Finite Fields Via Graph Enumeration". Discrete Mathematics & Theoretical Computer Science DMTCS Proceedings vol. AK,..., Proceedings (1 de janeiro de 2009). http://dx.doi.org/10.46298/dmtcs.2742.
Texto completo da fonteTeses / dissertações sobre o assunto "Racines de polynômes dans un corps fini"
Dewaghe, Laurent. "Calcul du nombre de points sur une courbe elliptique dans un corps fini". Lille 1, 1996. https://pepite-depot.univ-lille.fr/LIBRE/Th_Num/1996/50376-1996-354.pdf.
Texto completo da fonteMarrez, Jérémy. "Représentations adaptées à l'arithmétique modulaire et à la résolution de systèmes flous". Electronic Thesis or Diss., Sorbonne université, 2019. https://accesdistant.sorbonne-universite.fr/login?url=https://theses-intra.sorbonne-universite.fr/2019SORUS635.pdf.
Texto completo da fonteModular computations involved in public key cryptography applications most often use a standardized prime modulo, the choice of which is not always free in practice. The improvement of modular operations is fundamental for the efficiency and safety of these primitives. This thesis proposes to provide an efficient modular arithmetic for the largest possible number of primes, while protecting it against certain types of attacks. For this purpose, we are interested in the PMNS system used for modular arithmetic, and propose methods to obtain many PMNS for a given prime, with an efficient arithmetic on the representations. We also consider the randomization of modular computations via algorithms of type Montgomery and Babaï by exploiting the intrinsic redundancy of PMNS. Induced changes of data representation during the calculation prevent an attacker from making useful assumptions about these representations. We then present a hybrid system, HyPoRes , with an algorithm that improves modular reductions for any prime modulo. The numbers are represented in a PMNS with coefficients in RNS. The modular reduction is faster than in conventional RNS for the primes standardized for ECC. In parallel, we are interested in a type of representation used to compute real solutions of fuzzy systems. We revisit the global approach of resolution using classical algebraic techniques and strengthen it. These results include a real system called the real transform that simplifies computations, and the management of the signs of the solutions