On the number of solutions of certain diagonal equations over finite fields

[1]  Lei Hu,et al.  The weight distribution of a family of p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-ary cyclic c , 2013, Designs, Codes and Cryptography.

[2]  Ioulia N. Baoulina.  ON THE NUMBER OF SOLUTIONS TO CERTAIN DIAGONAL EQUATIONS OVER FINITE FIELDS , 2010 .

[3]  Lei Hu,et al.  The weight distribution of a class of p-ary cyclic codes , 2010, Finite Fields Their Appl..

[4]  Francis N. Castro,et al.  On systems of linear and diagonal equation of degree pi+1 over finite fields of characteristic p , 2008, Finite Fields Their Appl..

[5]  W. Cao,et al.  Factorization formulae on counting zeros of diagonal equations over finite fields , 2007 .

[6]  Sun Qi,et al.  The number of solutions of certain equations over a finite field , 2005, Finite Fields Their Appl..

[7]  Oscar Moreno,et al.  Divisibility properties for covering radius of certain cyclic codes , 2003, IEEE Trans. Inf. Theory.

[8]  Robert S. Coulter.  The Number of Rational Points of a Class of Artin-Schreier Curves , 2002 .

[9]  On Diagonal Equations over Finite Fields , 2001 .

[10]  Robert S. Coulter.  Further evaluations of Weil sums , 1998 .

[11]  K. Williams,et al.  Gauss and Jacobi sums , 2021, Mathematical Surveys and Monographs.

[12]  Pingzhi Yuan,et al.  On the Number of Solutions of Diagonal Equations over a Finite Field , 1996 .

[13]  J. Wolfmann.  The number of solutions of certain diagonal equations over finite fields , 1992 .

[14]  Wang Daqing,et al.  On the Solvability of the Equation ∑ n i = 1 x i /d i ≡0 (mod 1) and its Application , 1987 .

[15]  On the solvability of the equation ∑ⁿᵢ₌₁ᵢ/ᵢ≡0(1) and its application , 1987 .

[16]  Tor Helleseth,et al.  On the covering radius of cyclic linear codes and arithmetic codes , 1985, Discret. Appl. Math..

[17]  Rudolf Lide,et al.  Finite fields , 1983 .

[18]  Simultaneous solutions to diagonal equations over finite fields , 1979 .

[19]  O. B. Faircloth.  On the Number of Solutions of Some General Types of Equations in a Finite Field , 1952, Canadian Journal of Mathematics.

[20]  H. S. Vandiver,et al.  On the Nature of the Solutions of Certain Equations in a Finite Field. , 1949, Proceedings of the National Academy of Sciences of the United States of America.

[21]  A. Weil.  Numbers of solutions of equations in finite fields , 1949 .

[22]  H S Vandiver,et al.  Characters over Certain Types of Rings with Applications to the Theory of Equations in a Finite Field. , 1949, Proceedings of the National Academy of Sciences of the United States of America.

[23]  H. S. Vandiver,et al.  On the Existence of Solutions of Certain Equations in a Finite Field. , 1948, Proceedings of the National Academy of Sciences of the United States of America.