Now showing items 1-9 of 9
On the exact number of solutions of certain linearized equations
In this note we have revisited some of the results of Trachtenberg (On the cross-correlation functions of maximal linear sequences, Ph.D. thesis, University of Southern California, Los Angeles, 1970), which are directly ...
Explicit maximal and minimal curves over finite fields of odd characteristics
(Academic Press Inc Elsevier Science, 2016-11)
In this work we present explicit classes of maximal and minimal Artin-Schreier type curves over finite fields having odd characteristics. Our results include the proof of Conjecture 5.9 given in  as a very special ...
Further results on rational points of the curve y(qn) - y = gamma xqh+1 - alpha over F-qm
Let q be a positive power of a prime number. For arbitrary positive integers h, n, m with n dividing m and arbitrary gamma, alpha is an element of F-qm with gamma not equal 0 the number of F-qm - rational points of the ...
On the Number of Quadratic Forms Having Codimension 2 Radicals in Characteristic 2 Giving Maximal/Minimal Curves
(Taylor and Francis Inc., 2014-09)
Let F-q be an arbitrary finite field of characteristic 2 and k be an arbitrary even integer. We count the number of quadratic forms having codimension 2 radicals on F-q(k) over F-q such that the corresponding curve is ...
On the Number of Irreducible Polynomials over GF(2) with Some Prescribed Coefficients
(Longdom Publishing, 2017-09)
In this paper we evaluate the number of monic irreducible polynomials in ??2[??] of even degree ?? whose first four coefficients have prescribed values. This problem first studied in  and some approximate results are ...
L-Polynomials of the Curve
(Springer Verlag, 2015)
Let chi be a smooth, geometrically irreducible and projective curve over a finite field F-q of odd characteristic. The L-polynomial L-chi(t) of chi determines the number of rational points of chi not only over F-q but also ...
Characterisation and enumeration of a class of semi-bent quadratic Boolean functions
(Inderscience Online, 2015)
In this paper, we consider semi-bentness of quadratic Boolean functions defined for even n and give the characterisation of these functions. Up to our knowledge, semi-bentness of this class has not been investigated before ...
On the number of k-normal elements over finite fields
In this article we give an explicit formula for the number of kk-normal elements, hence answering Problem 6.1. of Huczynska et al. (Existence and properties of kk-normal elements over finite fields, Finite Fields Appl 2013; ...
Rational points of the curve over
(Cambridge University Press, 2014-01)
Let q be a power of an odd prime. For arbitrary positive integers h, n, m with n dividing m and arbitrary with ? ? 0 we determine the number of -rational points of the curve in many cases.