An extension of the (strong) primitive normal basis theorem
暂无分享,去创建一个
[1] H. Davenport. Bases for Finite Fields , 1968 .
[2] Michael Rosen,et al. Number Theory in Function Fields , 2002 .
[3] Mario Aachen. Equations Over Finite Fields An Elementary Approach , 2016 .
[4] C. Hsu,et al. A generalization of the primitive normal basis theorem , 2011 .
[5] H. Lenstra,et al. Primitive normal bases for finite fields , 1987 .
[6] Stephen D. Cohen. Gauss sums and a sieve for generators of Galois fields , 2000, Publicationes Mathematicae Debrecen.
[7] Daniel Panario,et al. Existence and properties of k-normal elements over finite fields , 2013, Finite Fields Their Appl..
[8] L. Carlitz,et al. Primitive roots in a finite field , 1952 .
[9] Sophie Huczynska. Existence Results for Finite Field Polynomials with Specified Properties , 2013, Finite Fields and Their Applications.
[10] Todd Cochrane,et al. Using Stepanov's method for exponential sums involving rational functions , 2006 .
[11] Kurt Hensel. Ueber die Darstellung der Zahlen eines Gattungsbereiches für einen beliebigen Primdivisor. , 1888 .
[12] Shuhong Gao. Normal Bases over Finite Fields , 1993 .
[13] G. I. Perel'muter. Estimation of a sum along an algebraic curve , 1969 .
[14] L Carlitz. Some Problems Involving Primitive Roots in a Finite Field. , 1952, Proceedings of the National Academy of Sciences of the United States of America.
[15] Stephen D. Cohen,et al. Primitive Normal Bases with Prescribed Trace , 1999, Applicable Algebra in Engineering, Communication and Computing.
[16] Stephen D. Cohen,et al. Explicit theorems on generator polynomials , 2005, Finite Fields Their Appl..
[17] Xiwang Cao,et al. On the existence of some specific elements in finite fields of characteristic 2 , 2012, Finite Fields Their Appl..
[18] W. Schmidt. Equations over Finite Fields: An Elementary Approach , 1976 .
[19] Giorgos Kapetanakis,et al. Normal bases and primitive elements over finite fields , 2014, Finite Fields Their Appl..
[20] F. N. Castro,et al. Mixed exponential sums over finite fields , 2000 .
[21] Rudolf Lide,et al. Finite fields , 1983 .
[22] D. Goss. NUMBER THEORY IN FUNCTION FIELDS (Graduate Texts in Mathematics 210) , 2003 .
[23] Arne Winterhof,et al. Finite Fields and Their Applications - Character Sums and Polynomials , 2013, Finite Fields and Their Applications.
[24] Whitfield Diffie,et al. New Directions in Cryptography , 1976, IEEE Trans. Inf. Theory.
[25] Solomon W. Golomb,et al. Algebraic Constructions for Costas Arrays , 1984, J. Comb. Theory, Ser. A.
[26] The strong primitive normal basis theorem , 2006, math/0610400.
[28] Henning Stichtenoth,et al. Factorization of a class of polynomials over finite fields , 2012, Finite Fields Their Appl..
[29] Tian Wen. Primitive Normal Element and Its Inverse in Finite Fields , 2006 .
[30] Stephen D. Cohen,et al. The Primitive Normal Basis Theorem – Without a Computer , 2003 .