Preferred Language
Articles
/
ijs-2265
Partitions on the Projective Plane Over Galois Field of Order 11^m, m=1, 2, 3
...Show More Authors

This research is concerned with the study of the projective plane over a finite field . The main purpose is finding partitions of the projective line PG( ) and the projective plane PG( ) , in addition to embedding PG(1, ) into PG( ) and PG( ) into PG( ). Clearly, the orbits of PG( ) are found, along with the cross-ratio for each orbit. As for PG( ), 13 partitions were found on PG( ) each partition being classified in terms of the degree of its arc, length, its own code, as well as its error correcting. The last main aim is to classify the group actions on PG( ).

Scopus Crossref
View Publication Preview PDF
Quick Preview PDF
Publication Date
Wed Dec 01 2021
Journal Name
Baghdad Science Journal
A complete (48, 4)-arc in the Projective Plane Over the Field of Order Seventeen
...Show More Authors

            The article describes a certain computation method of -arcs to construct the number of distinct -arcs in  for . In this method, a new approach employed to compute the number of -arcs and the number of distinct arcs respectively. This approach is based on choosing the number of inequivalent classes } of -secant distributions that is the number of 4-secant, 3-secant, 2-secant, 1-secant and 0-secant in each process. The maximum size of -arc that has been constructed by this method is . The new method is a new tool to deal with the programming difficulties that sometimes may lead to programming problems represented by the increasing number of arcs. It is essential to reduce the established number of -arcs in each cons

... Show More
View Publication Preview PDF
Scopus (1)
Scopus Clarivate Crossref
Publication Date
Thu Dec 29 2016
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Some Results on The Complete Arcs in Three Dimensional Projective Space Over Galois Field
...Show More Authors

        The aim of this paper is to introduce the definition of projective 3-space over Galois field GF(q), q = pm, for some prime number p and some integer m.

        Also the definitions of (k,n)-arcs, complete arcs, n-secants, the index of the point and the projectively equivalent arcs are given.

        Moreover some theorems about these notations are proved.

 

View Publication Preview PDF
Publication Date
Sun Jul 02 2023
Journal Name
Iraqi Journal Of Science
On δ-small M-Projective Modules
...Show More Authors

In this paper we study the concepts of δ-small M-projective module and δ-small M-pseudo projective Modules as a generalization of M-projective module and M-Pseudo Projective respectively and give some results.

View Publication Preview PDF
Publication Date
Sun Oct 22 2023
Journal Name
Iraqi Journal Of Science
On δ-small M-Projective Modules
...Show More Authors

In this paper we study the concepts of δ-small M-projective module and δ-small M-pseudo projective Modules as a generalization of M-projective module and M-Pseudo Projective respectively and give some results.

View Publication Preview PDF
Publication Date
Wed Feb 22 2023
Journal Name
Iraqi Journal Of Science
Small Pointwise M-Projective Modules
...Show More Authors

Let R be a ring and let M be a left R-module. In this paper introduce a small pointwise M-projective module as generalization of small M- projective module, also introduce the notation of small pointwise projective cover and study their basic properties.
.

View Publication Preview PDF
Publication Date
Sun Mar 04 2018
Journal Name
Iraqi Journal Of Science
Essential-Small M-Projective Modules
...Show More Authors

In this paper, we introduce the concept of e-small M-Projective modules as a generalization of M-Projective modules.

View Publication Preview PDF
Publication Date
Sun May 14 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
A Complete (k,r)-Cap in PG(3,p) Over Galois Field GF(4)
...Show More Authors

   The aim of this paper is to construct the (k,r)-caps in the projective 3-space PG(3,p) over Galois field GF(4). We found that the maximum complete (k,2)-cap which is called an                       ovaloid  , exists in PG(3,4) when k = 13. Moreover the maximum (k,3)-caps, (k,4)-caps and   (k,5)-caps. 

View Publication Preview PDF
Publication Date
Wed Oct 31 2018
Journal Name
Iraqi Journal Of Science
Some application of coding theory in the projective plane of order three
...Show More Authors

The main aim of this paper is to introduce the relationship between the topic of coding theory and the projective plane of order three. The maximum value of size of code over finite field of order three and an incidence matrix with the parameters,  (length of code),  (minimum distance of code) and  (error-correcting of code ) have been constructed. Some examples and theorems have been given.

View Publication Preview PDF
Publication Date
Sun Jul 29 2018
Journal Name
Iraqi Journal Of Science
On the Embedding of an Arc Into a Cubic Curves in a Finite Projective Plane of Order Five
...Show More Authors

The main aims of this research is to find the stabilizer groups of a cubic curves over a finite field of order , studying the properties of their groups and then constructing the arcs of degree  which are embedding in a cubic curves of even size which are considering as the arcs of degree . Also drawing all these arcs.

View Publication Preview PDF
Publication Date
Sun Jun 03 2012
Journal Name
Baghdad Science Journal
On The Queuing System M/Er/1/N
...Show More Authors

In this paper the queuing system (M/Er/1/N) has been considered in equilibrium. The method of stages introduced by Erlang has been used. The system of equations which governs the equilibrium probabilities of various stages has been given. For general N the probability of j stages of service are left in the system, has been introduced. And the probability for the empty system has been calculated in the explicit form.

View Publication Preview PDF
Crossref