Journal of Kufa for Mathematics and Computer

Abstract-Web exchanges are conducted through an open network that lacks central management; it is,
therefore, impossible to identify a communication partner, especially in a distributed system. Authentication
is the basis of security in such systems. Providing secure communication becomes problematic in CRN
because cognitive node can join and leave network dynamically that leading to be many threats targeting
this kind of network. In this paper, we are using analysis authentication protocol of RSA algorithm by BAN
logic also It using C# programing . By analyzing via BAN logic, we will see if this protocol is confidential,
and can it be used in cognitive radio networks.

The acknowledgment of IoT requires a colossal measure of sensor hubs which have limited battery
power, memory, computational latency and communication bandwidth to obtain contributions from the
associated objects. In the current developments of the resource constraint environments, the trend is
shifted towards lightweight cryptographic algorithm. Many lightweight cryptographic algorithms have
been developed and also existing algorithms are modified in terms of resource constraint environment.
In this paper we analyzed a very popular block cipher AES-128 and tried to make it lightweight
regarding energy consumption. In modified AES algorithm an execution of the AES mix columns
operation is proposed, combine the add round-key operation with mix-columns to perform in one cycle,
the shift-row operation has been modified to shift-rows and shift-columns and reduction in number of
rounds to 6 rounds only for modified AES and compare the results of standard algorithm and modified
algorithms. The proposed algorithms passed the statistical test suite, also the new algorithms faster than
standard AES in term of implementation. In security term the modified algorithm for 6 round has more
confusion and diffusion percent because of the modified in mix-columns and shift-rows operations.

Abstract— In this paper, we introduce a new class of multivalent functions defined by where is a
subclass of analytic and multivalent functions in the open unit disc { | | }. Moreover, we consider
and prove theorems explain Some of the geometric properties for such new class was such as, coefficient
estimates, growth and distortion, extreme points, radii of starlikeness, convexity and close-to-convexity as well as the
convolution properties for the class

Abstract— This paper compares between testing performance methods of classifier algorithm on a
standard database of mammogram images. Mammographic interchange society dataset (MIAS) is used in
this work. For classifying these images tumors a multiclass support vector machine (SVM) classifier is
used. Evaluating this classifier accuracy for classifying the mammogram tumors into the malignant,
benign or normal case is done using two evaluating classifier methods that are a hold-out method and
one of the cross-validation methods. Then selecting the better test method depending on the obtained
classifier accuracy and the running time consumed with each method.
The classifier accuracy, training
time and the classification time are considered for comparison purpose.

Abstract— This paper compares between testing performance methods of classifier algorithm on a
standard database of mammogram images. Mammographic interchange society dataset (MIAS) is used in
this work. For classifying these images tumors a multiclass support vector machine (SVM) classifier is
used. Evaluating this classifier accuracy for classifying the mammogram tumors into the malignant,
benign or normal case is done using two evaluating classifier methods that are a hold-out method and
one of the cross-validation methods. Then selecting the better test method depending on the obtained
classifier accuracy and the running time consumed with each method.
The classifier accuracy, training
time and the classification time are considered for comparison purpose.