The relationship between the matrices of the two analyses
(SVD) and (GSVD)
Authorsم.محمد عبد الحميد جاسم الكوفي
JournalJournal of Physics: Conference Series
AbstractIn this paper we will search in analysis the matrices (SVD) and (GSVD) in terms of
the relationship between their matrices after touching and briefly about the idea of each. Where
we will two analyze matrices A(,)
and B(,)
using the techniques above and we compare
between each of the two analyzes for the purpose of reaching a final relationship connecting
between the matrices of the two analyze. This relationship can be utilized it in image
processors, encryption and image enhancement as well as text and video. Perhaps in a later
research we will focus on determining the relationships between the matrices of other analyzes
such as (QR) and (LU) analysis.
Simulate a first-order Bézier curve in image encoding
Authorsم.محمد عبد الحميد جاسم الكوفي
JournalJournal of Physics: Conference Series
AbstractBézier curve of the first rank is a simple equation in terms of form, but it is
characterized by the nature of private transactions making it difficult to use in image encryption
because the dispersion of color values is not enough, this results in an encrypted image that gives
clear references to the original image. This weakness in the equation does not exist in the case of
text encryption where enough to change the numerical values of the components of the text to get
a digital matrix representing the encrypted text.Through this algorithm we have used the Bézier
curve technique from the first order of image coding we used a new method to generate the
coefficients of the equation where we simulated the Bazier equation where it became as follows:
MK-Theorem1: FOR all X Belongs to Z for all X Belongs to Z.
Authorsم.محمد عبد الحميد جاسم الكوفي
JournalElixir Appl. Math.
AbstractIn this short search, we will prove the mathematical fact that all the even integers are
equals that equal to zero. And all the odd integers are equals that equal to One, Through
simple numerical proof as we shall see below.
An a New Algorithm Based on (General Singular Values Decomposition)
and (Singular Values Decomposition) for Image Cryptography
Authorsم.محمد عبد الحميد الكوفي
JournalElixir Digital Processing
AbstractThe issue of information security is evolving on a daily basis and the Governments in
the world have become e-governments .Which makes it necessary to develop ways to
maintain information to protect them from hackers and and protect them from
penetration. In this paper we will encrypt the image using two well-known matrix
analyzers, gsvd and svd, by relying on a complex cryptographic key, an image. The
workflow will analyze the image matrix that we want to encrypt and matrix the key
image using gsvd analysis.We also analyze the image matrix key using svd analysis.
From the resulting matrices of the analyzes we form a new matrix through the process of
constructing in a systematic manner and with new values considered large dispersion of
the color values of the image matrix that we want to encrypt. This construct we have
made will explain it by explaining the algorithm below. The resulting matrix represents
the first and most important phase of encryption, a complex coding process that can
never be broken. and to reduce the size of the last matrix to a quarter we fold it in a
systematic way that can be reversed to retrieve the original values.What distinguishes this
algorithm from the rest of the algorithms that preceded it is the readings that appear to the
standards of global accuracy especially the encryption time, which did not exceed 1.9
seconds and the decoding time, which did not exceed 0.74 sec it is a very short period of
unprecedented. We will make this clear through the tables below
A Proposed Method for Text Encryption using
Symmetric and Asymmetric Cryptosystems
Authorsم.محمد عبد الحميد الكوفي, حيدر رحيم هاشم
JournalInternational Journal of Computer Trends and Technology (IJCTT)
Abstract—This proposed method focuses on
encrypting texts that are written in English or Arabic
language using symmetric and asymmetric
cryptosystems respectively.Thesymmetric and
asymmetric cryptosystems presentedby Vigenere
Cipher and RSA Cryptosystem respectively.
Therefore, a plaintext encrypted using Vigenere
Cipher, then the obtained ciphertext must be
encrypted again using RSA Cryptosystem in a way
that makes this method programmed using
MATLAB.Therefore, this suggested method has a
higher level of security than either Vigenere Cipher or
RSA Cryptosystem since its security relies on the
hardness of factoring the product of two large prime
numbers, the factoring problem and on the secrecy of
the keyword of the Vigenere Cipher. Therefore, this
method gives us the confidence of using Vigenere
cipher over text messages as a part of asymmetric
cryptography and suggests a new method for
encrypting text messages.
An Algorithm Based on GSVD for Image Encryption
Authors1- محمد عبد الحميد جاسم, حيدر رحيم هاشم
امير محمد حسين
JournalMathematics and Computational Applications MDPI
AbstractThis paper represents a new image encryption algorithm based on modifying generalized singular value decomposition (GSVD) by decomposing the plain‐image into two segments using GSVD with an exchanged key‐image to produce the cipher‐image. The exchanged key‐image is used as an encrypting and decrypting image. Mathematically, this procedure is represented by transforming the plain‐image’s matrix into two different matrices and applying the GSVD with the exchanged key‐image’s matrix to obtain the cipher‐image’s matrix. The two encoded segments can be kept in several places or assigned to a group of authorized persons. No one can obtain the information of the image easily without the knowledge of the decrypting key. This proposed algorithm is represented as one of the digital image encryption techniques used to enhance the security of images that have been sent between recipients.
