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Explicit evaluations of some weil sums

http://matwbn.icm.edu.pl/ksiazki/aa/aa93/aa9322.pdf Web@ARTICLE{Coulter98explicitevaluation, author = {Robert S. Coulter}, title = {Explicit evaluation of some Weil sums}, journal = {Acta Arith}, year = {1998}, pages = {241- …

Explicit evaluation of some exponential sums Request PDF

Webis possible to evaluate the Weil sums for any non-trivial additive character simply by manipulating the results obtained using this identity. We denote our Weil sum by S α(a). That is, S α(a) = X x∈F q χ 1(axp α+1). The evaluation splits into two sections: one for … WebJan 31, 2002 · In the series of works by Coulter [6,7,8] which were based on Carlitz's proof methods [4], they explicitly evaluated the Weil sums of f (x) = ax p α +1 + L (x) over F p n with linearized... exchange change mailbox to shared https://massageclinique.net

Explicit evaluations of some Weil sums - Acta Arithmetica - Tom 83 ...

WebIn a recent article [2] the author gave explicit evaluations of all Weil sums with f(X) = aXp +1 and p odd. These were obtained mostly through generalising methods used by Carlitz in [1] who obtained explicit evaluations of Weil sums with f(X) = aXp+1 +bX, p odd. In this article we complete the work begun in [2]. By generalising some WebJan 1, 2002 · Explicit evaluations of some Weil sums Acta Arith., 83 ( 1998), pp. 241 - 251 CrossRef View Record in Scopus Google Scholar 3 R.S. Coulter Further evaluations of Weil sums Acta Arith., 86 ( 1998), pp. 217 - 226 CrossRef View Record in Scopus Google Scholar 4 R.S. Coulter, R.W. Matthews Planar functions and planes of Lenz–Bartolli … http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-aav83i3p241bwm exchange change domain name

EXPLICIT EVALUATIONS OF SOME WEIL SUMS Introduction

Category:A note on evaluations of some exponential sums - Home ICM

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Explicit evaluations of some weil sums

On the Evaluation of Weil Sums of Dembowski–Ostrom Polynomials

Web[1] L. Carlitz, Evaluation of some exponential sums over a finite field, Math. Nachr. 96 (1980), 319-339. Zbl0456.12011 [2] R. S. Coulter, Explicit evaluations of some Weil sums, Acta Arith. 83 (1998), 241-251. Zbl0924.11098 [3] R. S. Coulter and R. W. Matthews, Bent polynomials over finite fields, Bull. Austral. Math. Soc. 56 (1997), 429-437. WebJun 25, 2024 · In this note, we extend the definition of multiple harmonic sums and apply their stuffle relations to obtain explicit evaluations of the sums $R_n(p,t)=\sum\nolimits ...

Explicit evaluations of some weil sums

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WebOct 1, 2002 · References 1. Explicit evaluations of some Weil sums. Acta Arith. v83. 241-251. 2. Further evaluations of Weil sums. Acta Arith. v86. 217-226. 3. On the evaluation of a class of Weil sums in characteristic 2. New Zealand J. Math. v28. 171-184. 4. The genus of curves over finite fields with many rational points. Manuscripta Math. v89. 103-106. 5. WebExplicit evaluations of some Weil sums - Acta Arithmetica - Tom 83, Numer 3 (1998) - Biblioteka Nauki - Yadda Artykuł - szczegóły Acta Arithmetica 1998 83 3 241-251 …

WebEXPLICIT EVALUATIONS OF SOME WEIL SUMS ROBERT S. COULTER 1. Introduction In this article we will explicitly evaluate exponential sums of the form X x2Fq ˜(axp +1) where ˜ is a non-trivial additive character of the nite eld Fq with q = pe odd and a 2 Fq. The case a = 0 is trivial and so we assume throughout that a 6= 0. Webexplicit evaluations, character sums, finite field, Weil sum, Carlitz's method Suggest a Subject Subjects You must be logged in to add subjects. Finite fields and commutative …

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WebMay 1, 2024 · Weil sums are defined by ∑ x ∈ F q χ ( f ( x)) where f ( x) ∈ F q [ X]. In [4], [5], Coulter evaluated some Weil sums given by S u ( a, b) = ∑ x ∈ F q χ ( a x p u + 1 + b x), a ∈ F q ⁎, b ∈ F q. Lemma 3 If m v be odd, then S u ( a, 0) = G ( η) η ( a) = { ( − 1) m − 1 q η ( a), if p ≡ 1 ( mod 4), ( − 1) m − 1 ( − 1) m q η ( a), if p ≡ 3 ( mod 4).

WebJan 1, 2002 · We are interested in evaluating Weil sums of the form S = S ( a1 , …, an )=∑ x∈Fq χ1 ( D ( x )) where D ( x )=∑ ni=1 aixpα+pβ, αi ⩾ βi for each i, is known as a … bsk 3rd stage post officeWebA note on evaluations of some exponential sums by Marko J. Moisio (Vaasa) 1. Introduction. The recent article [1] gives explicit evaluations for exponential sums of the form S(a,pα+ 1) := X x∈Fq χ(axpα+1) where χis a non-trivial additive character of the finite field Fq, q= pe odd, and a∈F∗ q. In my dissertation [5], in particular ... exchange change mailbox nameWebOct 1, 2002 · Explicit evaluations of some Weil sums Acta Arith., 83 ( 1998), pp. 241 - 251 CrossRef View Record in Scopus Google Scholar 2 R.S. Coulter Further evaluations of Weil sums Acta Arith., 86 ( 1998), pp. 217 - 226 CrossRef View Record in Scopus Google Scholar 3 R.S. Coulter On the evaluation of a class of Weil sums in characteristic 2 bsk 46 material specificationWebDec 1, 2009 · The evaluation of an exponential sum over a finite field is a very hard problem in general, and it has been achieved only in certain special cases (see e.g. … exchange chambers manchester ukWebSep 16, 2024 · Explicit evaluations of some Weil sums. Article. Jan 1998; Robert S Coulter; where is a non-trivial additive character of the nite eld Fq with q = pe odd and a 2 Fq. The case a = 0 is trivial and ... exchange change recipient typeWeb[4] M. J. Moisio, On relations between certain exponential sums and multiple Kloosterman sums and some applications to coding theory, preprint, 1997. [5] M. J. Moisio, Exponential sums, Gauss sums and cyclic codes, Dissertation, Acta Univ. Oul. A 306, 1998. Zbl0970.94011; NotesEmbed? top bsk 6th stageWebApr 7, 2024 · In this paper, several classes of two-weight and three-weight linear codes are presented and their weight distributions are determined using Weil sums. Some of the … bsk 6th stage 7th block