Further evaluations of weil sums
WebIn all cases, explicit evaluations are obtained. We consider a class of Weil sums involving polynomials of a particular shape. On the evaluation of a class of Weil sums in characteristic 2 WebFeb 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 …
Further evaluations of weil sums
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WebOct 1, 1999 · , where χ is a non-trivial additive character of Fq and f ∈ Fq[X ]. In this article we consider the evaluation of all Weil sums where f(X) = aX +1 +L(X) and p = 2. Here, … 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 …
Web[1] L. Carlitz, Evaluation of some exponential sums over a finite field, Math. Nachr. 96 (1980), 319-339. [2] R. S. Coulter, Explicit evaluations of some Weil sums ... WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Weil sums are exponential sums whose summation runs over the evalua-tion mapping of a …
Web(PDF) On the Evaluation of Weil Sums of Dembowski–Ostrom Polynomials Donald Mills - Academia.edu Download Free PDF On the Evaluation of Weil Sums of … 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 …
WebA PROOF OF WEIL’S BOUND ON GENERAL CHARACTER SUMS 5 In Chapter 4, using the bound (8) jN =q j
WebDec 1, 2009 · Stickelberger's theorem and the Gross-Koblitz formula are used to determine the value of the binary Kloosterman sum at a modulo 64, modulo 128, and modulo 256 … 16克等于多少毫升WebA fundamental technique of Weil reduces the estimate when ab ≠ 0 to his results on local zeta-functions. Geometrically the sum is taken along a 'hyperbola' XY = ab and we consider this as defining an algebraic curve over the finite field with p elements. 16克黄金多少钱WebWe denote the finite field of q elements by ¥q and the non-zero elements of Fg by F*. A Weil sum is an exponential sum of the form XlxeF, x(/(x))> where x is a non-trivial additive character of ¥q and / G Fg[X]. In this article we consider the evaluation of all Weil sums where f(X) = aXpa+1 + L(X) and p = 2. 16克咖啡粉放多少水合适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. 16克等于多少毫克WebJan 1, 2002 · 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 class II Des. Codes Cryptogr., 10 ( 1997), pp. 167 - 184 View Record in Scopus Google Scholar 5 P. Dembowski, T.G. Ostrom 16光纤http://matwbn.icm.edu.pl/ksiazki/aa/aa83/aa8334.pdf 16全椒债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 … 16全自动高清录播系统视频