site stats

Further evaluations of weil sums

WebDec 1, 2024 · The computation of a quadratic Weil sum is complicated and sometimes impractical. This paper introduces a novel and generic way of computing quadratic Weil sums, which allows us to deal... 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...

Further improvement on index bounds SpringerLink

WebFurther, we highlight our motivation for studying these Weil sums and obtain an alternative, but much longer, proof of when the polynomial Xpα+1 is planar (see [4, The-orem 3.3]). … WebFurther evaluations of Weil sums. Weil sums are exponential sums of the form ∑ x∈ q χ (f (x)), where q is the finite field of q=p e elements (p prime) and f (x)∈ q (x). In a recent … is storrito free https://daniutou.com

The subfield codes of several classes of linear codes

http://matwbn.icm.edu.pl/ksiazki/aa/aa86/aa8633.pdf WebJan 4, 2024 · In this paper we obtain further improvement of index bounds for character sums of polynomials over finite fields. We present some examples, which show that our … WebReferences top [1] L. Carlitz, Evaluation of some exponential sums over a finite field, Math. Nachr. 96 (1980), 319-339. Zbl0456.12011 [2] R. S. Coulter and R. W. Matthews, Planar functions and planes of Lenz-Barlotti class II, Des. is stormzy single

Characters, Weil sums and $c$-differential uniformity with an ...

Category:Weil sums of binomials: properties, applications, and open problems

Tags:Further evaluations of weil sums

Further evaluations of weil sums

On the Evaluation of Weil Sums of Dembowski–Ostrom …

WebThese are the best dim sum restaurants that offer delivery near Ashburn, VA: Yen's Cafe. Mark's Duck House. Yen's Kitchen and Sushi Bar. Dumpling Queen. Hong Kong Pearl … WebDec 31, 1997 · where f ∈ Fq[X ]. These sums are also known as Weil sums. The problem of explicitly evaluating these sums is quite often difficult. Results giving estimates for the …

Further evaluations of weil sums

Did you know?

WebThe University of Queensland's institutional repository, UQ eSpace, aims to create global visibility and accessibility of UQ’s scholarly research. WebThe Centers for Disease Control and Prevention (CDC), a major operating component of the Department of Health and Human Services, is the nation's leading science-based, …

WebJan 1, 2024 · Further evaluations of Weil sums. Acta Arith. 86, 217–226 (1998) 5. Coulter, R.S.: Explicit evaluations of some Weil sums. Acta Arith. 83, 241–251 (1998) 6. Coulter, R.S.: The number of rational points of a class of Artin–Schreier curves. Finite Fields Appl. 8, 397–413 (2002) 7. Ding, C., Heng, Z.: The subfield codes of ovoid codes. http://www.thebookshelf.auckland.ac.nz/docs/NZJMaths/nzjmaths028/nzjmaths028-02-002.pdf

WebIn [1] Carlitz obtained explicit evaluations of Weil sums with f(X) = aXp+1 + bX. His methods involved first obtaining evaluations when b = 0 and then proceeding to the … http://www.thebookshelf.auckland.ac.nz/docs/NZJMaths/nzjmaths028/nzjmaths028-02-002.pdf

WebFurther evaluations of Weil sums. where Fq denotes the finite field of q elements (q = p e for p a prime) and f ∈ Fq [X]. In a recent article [2] the author gave explicit evaluations of all Weil sums with f (X) = aX α+1 and p odd. These were obtained mostly through …

WebThis paper proves the characteristic $3$ case of a 1976 conjecture of Helleseth: when $p=3$ and $[F:{\mathbb F}_3]$ is a power of $2$, it is shown that $W_{F,d ... iss torontoWebMar 22, 2024 · Weight distributions of two classes of linear codes based on Gaussian period and Weil sums March 2024 Authors: Xina Zhang Abstract In this paper, based on the theory of defining sets, two... is story countable or uncountableWebOur skilled, licensed psychologists conduct psychological evaluations. We provide treatment for individuals with depression, anxiety, anger management problems, bipolar … is storrito safeWebFURTHER EVALUATIONS OF WEIL SUMS ROBERT S. COULTER 1. Introduction Weil sums are exponential sums whose summation runs over the evalua-tion mapping of a … isst orvietoWebA Weil sum is anexponential sum of the form P x2Fq ˜ f(x) , where ˜ is a non-trivial additive character of Fq and f 2 Fq[X]. In this article we consider the evaluation of all Weil sums where f(X) = aXp +1+L(X) and p = 2. Here, a 2 Fq, is any natural number and L 2 Fq[X] is any additive polynomial (by which it is meant that L(x+y) = L(x)+L(y) i forgot my downtime passwordWebMay 26, 2024 · Weil sums of binomials: properties, applications, and open problems. We present a survey on Weil sums in which an additive character of a finite field is applied … i forgot my crunchyroll passwordWebFeb 14, 2024 · The evaluation of some Weil sums will also help construct more bent functions or planar functions on finite fields. ... We also further study the relations … i forgot my dbs update service id