There has been a lot of research on covering arrays in the last two decades and most
of it includes construction, application and generalization of covering arrays. The
main focus of this thesis is the group construction ...
This thesis contains some results for permutation polynomials over finite fields. In this thesis is contained the synopsis of known results and some knew classes of permutation polynomials over finite fields have been provided.
The main objective of my Masters thesis is to study the Dynamic structure that
return prices or exchange rates exhibits. Intensive studies have been conducted for
inferring the parameters and missing information. [1] ...
During this project, I studied the basics of Algorithms and ideas in a
much more concrete way. By attending a course on "Selected Topics
in Algorithm", I got a chance to study the subject in depth, which
helped me to ...
This study is about normality of real numbers. In this study we will mainly look
at the expansion of real numbers to any integer base b(b>1) and depending on
that we will introduce the concept of normality. We will look ...
Currently Quantum computer are expected to be biggest threat in public key cryp-
tography. My thesis work is about study and practical implementation of the
code based cryptosystem. This thesis is inspired by the research ...
Time series analysis gives us a window to look at the past events and make predictions about the future. It has been long since it was discovered that various natural process exhibit a long memory property, characterized ...
This thesis presents an exposition of the basic theory of Elliptic curves over an arbitrary scheme with emphasis on the group scheme structure, the structure of the
N-torsion points on the group scheme, various applications ...
Integer factorization has been interesting problem for mathematicians since centuries.
Integer factorisation lies in the heart of Number Theory. There has been many
algorithms for factorisation such as Dixon’s factorisation, ...
The aim of the project is to understand Bezout’s Theorem for curves from algebraic
and geometric point of view. The Theorem states that in complex projective plane,
the number of points in which any two curves (with no ...
Positioning and pricing of products are two very crucial decisions that a company needs to make in a competitive market. These decisions are in turn affected by a variety of factors, which include the intensity of competition; ...
In Europe and North America, the most widely used stream cipher to ensure privacy and confidentiality of conversations in GSM mobile phones is the A5/1. In this thesis, we study the A5/1 and some known attacks on it. We ...
MULLATH MOHAMMED SHERIEF, MOHAMMED ZUHAIR(2012-05)
The thesis surveys some interesting equidistribution problems and ergodic methods pertinent to number theory. In chapter 1, the Weyl criterion is introduced and we study the relationship between some equidistribution ...
In this thesis we give an exposition of John Tate's doctoral dissertation titled `Fourier
Analysis in Number Fields and Hecke's Zeta-Functions'. In this dissertation, Tate
proved the analytic continuation and functional ...
In this thesis we give detailed solutions of the exercises in the rst chapter of the
textbook 'Algebraic Geometry' by Robin Hartshorne. We have followed this with
an essay in which we have proved two theorems which bring ...