In this paper we construct Galois towers with good asymptotic properties over\nany non-prime finite field $\\mathbb F_{\\ell}$; i.e., we construct sequences of\nfunction fields $\\mathcal{N}=(N_1 \\subset N_2 \\subset \\cdots)$ over $\\mathbb\nF_{\\ell}$ of increasing ...
Barbulescu, R., Gaudry, P., Guillevic, A., Morain, F.: Improving NFS for the dis- crete logarithm problem in non-prime finite fields. In: Oswald, E., Fischlin, M. (eds.) EUROCRYPT 2015, Part I. LNCS, vol. 9056, pp. 129-155. Springer (Apr 2015)...
26 Small prime k-th power residues modulo p 49:04 Thunderstorms in the present, past and future 51:34 Transcendental values of power series and dynamical degrees 50:10 Asymptotic analysis of the concentration difference due to diffusive fluxes acro 45:04 Directional sensing and signal integration ...
26 Small prime k-th power residues modulo p 49:04 Thunderstorms in the present, past and future 51:34 Transcendental values of power series and dynamical degrees 50:10 Asymptotic analysis of the concentration difference due to diffusive fluxes acro 45:04 Directional sensing and signal integration ...
Since little is known about these topics in fragments, we looked for, and found, another proof using permutation groups and the elements of Galois cohomology. This proof fits nicely into I Δ 0 + Ω 1 using, instead of exponentiation, exponentiation modulo a prime.关键词:...
Norm-Euclidean Galois fields Let K be a Galois number field of prime degree $\\\ell$. Heilbronn showed thatfor a given $\\\ell$ there are only finitely many such fields that arenorm-... KJ Mcgown - 《Mathematics》 被引量: 5发表: 2010年 Norm...
Define non-zero. non-zero synonyms, non-zero pronunciation, non-zero translation, English dictionary definition of non-zero. Adj. 1. non-zero - not involving zero cardinal - being or denoting a numerical quantity but not order; "cardinal numbers" Based o
Theorem 2 (Arithmetic rectification) Let be a subset of the finite field for some prime , and let be an integer. Suppose that . Then there exists a map into a subset of the complex numbers which is a Freiman field isomorphism of order in the sense that for any and any polynomial of ...
26 Small prime k-th power residues modulo p 49:04 Thunderstorms in the present, past and future 51:34 Transcendental values of power series and dynamical degrees 50:10 Asymptotic analysis of the concentration difference due to diffusive fluxes acro 45:04 Directional sensing and signal integration ...
Let G be a finite simple group whose order is of the form pm where p is a prime, (p, m) = 1, and the index of a Sylow p-subgroup in its normalizer is three in G. Suppose the degree equation for the principal p-block, B0(p), has the form ... LJ Alex - 《Journal of Alg...