scholarly journals Role of Some Integral Transforms in Cryptography

2020 ◽  
Vol 9 (3) ◽  
pp. 376-380
Keyword(s):  
Laplace Transform ◽  
Integral Transforms ◽  
Cosine Function ◽  
Cipher Text ◽  
Encryption And Decryption ◽  
Sumudu Transform

There are so many methods for the process of cryptography in literature. In this paper we present encryption and decryption method by using Laplace transform &Sumudu transform and their inverses. The purpose of using this method is for more security in communication as compared to other methods because cipher text obtained by this method could not be cracked by other persons easily. In the first part we apply Laplace transform to trigonometric cosine function for Sumudu transform for the same purpose.Fiinally we conclude by comparing these two methods

scholarly journals Dualities between Elzaki Transform and Some Useful Integral Transforms

2019 ◽  
Vol 8 (12) ◽  
pp. 4312-4318 ◽  
Keyword(s):  
Heat Transfer ◽  
Laplace Transform ◽  
Integral Transforms ◽  
Second Law ◽  
Electrical Networks ◽  
Carbon Dating ◽  
Motion Signal ◽  
Sumudu Transform ◽  
Basic Functions ◽  
Bending Of Beams

Integral transforms have wide applications in the various disciplines of engineering and science to solve the problems of heat transfer, springs, mixing problems, electrical networks, bending of beams, carbon dating problems, Newton’s second law of motion, signal processing, exponential growth and decay problems. In this paper, we will discuss the dualities between Elzaki transform and some useful integral transforms namely Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Mahgoub (Laplace-Carson) transform, Mohand transform and Sawi transform. To visualize the importance of dualities between Elzaki transform and mention integral transforms, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Mahgoub transform, Mohand transform and Sawi transform) of mostly used basic functions by using mention dualities relations. Results show that the mention integral transforms are strongly related with Elzaki transform

scholarly journals Dualities between Mohand Transform and Some Useful Integral Transforms

2019 ◽  
Vol 8 (3) ◽  
pp. 843-847
Keyword(s):  
Signal Processing ◽  
Laplace Transform ◽  
Exponential Growth ◽  
Integral Transforms ◽  
Second Law ◽  
Electrical Networks ◽  
Carbon Dating ◽  
Sumudu Transform ◽  
Basic Functions ◽  
Bending Of Beams

Integral transforms have wide applications in the different areas of engineering and science to solve the problems of springs, Newton’s law of cooling, electrical networks, bending of beams, mixing problems, signal processing, carbon dating problems, Newton’s second law of motion, exponential growth and decay problems. In this paper, we will discuss the dualities of some useful integral transforms namely Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub (Laplace- Carson) transform and Sawi transform with Mohand transform. To visualize the importance of dualities between Mohand transform and mention integral transforms, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub transform and Sawi transform) of mostly used basic functions by using mention dualities relations.

scholarly journals Connections between Aboodh Transform and Some Effective Integral Transforms

2019 ◽  
Vol 9 (1) ◽  
pp. 1465-1470
Keyword(s):  
Heat Transfer ◽  
Signal Processing ◽  
Laplace Transform ◽  
Integral Transforms ◽  
Research Paper ◽  
Electrical Networks ◽  
Sumudu Transform ◽  
Transfer Problems ◽  
Bending Of Beams

Integral transforms are the most useful techniques of the mathematics which are used to finding the solution of heat transfer problems, mixing problems, electrical networks, bending of beams, signal processing problems, which generally appears in the various disciplines of engineering and sciences. In this research paper, connections between Aboodh transform and some effective integral transforms (Laplace transform, Kamal transform, Elzaki transform, Sumudu transform, Mahgoub transform, Mohand transform and Sawi transform) are discussed and integral transforms of some typical functions are given in table form in application section to signify the fruitfulness of connections between Aboodh transform and some effective mention integral transforms.

scholarly journals SECURITY IN COMMUNICATION BY USING SUMUDU TRANSFORMS AND CRYPTOGRAPHY

2020 ◽  
Vol 9 (12) ◽  
pp. 1-4
Keyword(s):  
Cosine Function ◽  
Plain Text ◽  
Cipher Text ◽  
Sumudu Transform ◽  
Original Message ◽  
Sumudu Transforms

In this paper we will show that how to increase the security in communication between two persons by using Sumudu transform & cryptography .In the first part of the paper we will consider one plain text (original message) and convert it to cipher text(text in hidden form) by applying Sumudu transform to trigonometric cosine function. In second part we will convert this cipher text to plain text by applying inverse Sumudu transform.

scholarly journals Dualities between Laplace Transform and Some Useful Integral Transforms

2019 ◽  
Vol 9 (1) ◽  
pp. 936-941 ◽  
Keyword(s):  
Heat Transfer ◽  
Laplace Transform ◽  
Integral Transforms ◽  
Second Law ◽  
Electrical Networks ◽  
Carbon Dating ◽  
Motion Signal ◽  
Sumudu Transform ◽  
Basic Functions ◽  
Bending Of Beams

Integral transforms have wide applications in the various disciplines of engineering and science to solve the problems of heat transfer, springs, mixing problems, electrical networks, bending of beams, carbon dating problems, Newton’s second law of motion, signal processing, exponential growth and decay problems. In this paper, we will discuss the dualities between Laplace transform and some useful integral transforms namely Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub (Laplace-Carson) transform, Mohand transform and Sawi transform. To visualize the importance of dualities between Laplace transform and mention integral transforms, we give tabular presentation of the integral transforms (Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub transform, Mohand transform and Sawi transform) of mostly used basic functions by using mention dualities relations. Results show that the mention integral transforms are strongly related with Laplace transform.

scholarly journals Dualities between Some Useful Integral Transforms and Sawi Transform

2019 ◽  
Vol 8 (3) ◽  
pp. 5978-5982
Keyword(s):  
Signal Processing ◽  
Laplace Transform ◽  
Exponential Growth ◽  
Integral Transforms ◽  
Electrical Networks ◽  
Carbon Dating ◽  
Newton’S Law ◽  
Sumudu Transform ◽  
Basic Functions ◽  
Bending Of Beams

Integral transforms have a number of applications in the different fields of engineering and science to solve the problems of Newton’s law of cooling, signal processing, electrical networks, bending of beams, springs, mixing problems, carbon dating problems exponential growth and decay problems. In this paper, we will discuss the dualities of some useful integral transforms namely Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub (Laplace-Carson) transform and Mohand transform with Sawi transform. To visualize the importance of dualities between mention integral transforms with Sawi transform, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub transform and Mohand transform) of mostly used basic functions by using mention dualities relations. Results show that the mention integral transforms are strongly related to each others

scholarly journals Dualities between Laplace-Carson Transform and Some Useful Integral Transforms

2019 ◽  
Vol 8 (12) ◽  
pp. 1654-1659
Keyword(s):  
Heat Transfer ◽  
Laplace Transform ◽  
Integral Transforms ◽  
Second Law ◽  
Electrical Networks ◽  
Carbon Dating ◽  
Motion Signal ◽  
Sumudu Transform ◽  
Basic Functions ◽  
Bending Of Beams

Integral transforms have wide applications in the various disciplines of engineering and science to solve the problems of heat transfer, springs, mixing problems, electrical networks, bending of beams, carbon dating problems, Newton’s second law of motion, signal processing, exponential growth and decay problems. In this paper, we will discuss the dualities between Laplace-Carson transform and some useful integral transforms namely Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Elzaki transform, Mohand transform and Sawi transform. To visualize the importance of dualities between Laplace-Carson transform and mention integral transforms, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Elzaki transform, Mohand transform and Sawi transform) of mostly used basic functions by using mention dualities relations. Results show that the mention integral transforms are strongly related with Laplace-Carson transform.

scholarly journals Integral Transform Methods for Solving Fractional Dynamic Equations on Time Scales

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Mohamad Rafi Segi Rahmat
Keyword(s):  
Laplace Transform ◽  
Time Scales ◽  
Time Scale ◽  
Integral Transform ◽  
Integral Transforms ◽  
Dynamic Equations ◽  
Transform Methods ◽  
Sumudu Transform ◽  
General Time

We introduce nabla type Laplace transform and Sumudu transform on general time scale. We investigate the properties and the applicability of these integral transforms and their efficiency in solving fractional dynamic equations on time scales.

INTEGRAL TRANSFORM OF K4-FUNCTION

2021 ◽  
Vol 21 (2) ◽  
pp. 429-436
Author(s):  
SEEMA KABRA ◽  
HARISH NAGAR
Keyword(s):  
Laplace Transform ◽  
Hypergeometric Function ◽  
Integral Transform ◽  
Integral Transforms ◽  
Gauss Hypergeometric Function ◽  
Wright Function ◽  
Generalized Wright Function ◽  
Special Cases ◽  
Euler Transform

In this present work we derived integral transforms such as Euler transform, Laplace transform, and Whittaker transform of K4-function. The results are given in generalized Wright function. Some special cases of the main result are also presented here with new and interesting results. We further extended integral transforms derived here in terms of Gauss Hypergeometric function.

scholarly journals Modified Advanced Encryption Standard Algorithm for Information Security

Symmetry ◽  
2019 ◽  
Vol 11 (12) ◽  
pp. 1484 ◽  
Author(s):  
Oluwakemi Christiana Abikoye ◽  
Ahmad Dokoro Haruna ◽  
Abdullahi Abubakar ◽  
Noah Oluwatobi Akande ◽  
Emmanuel Oluwatobi Asani
Keyword(s):  
Execution Time ◽  
Advanced Encryption Standard ◽  
Avalanche Effect ◽  
Plain Text ◽  
Aes Algorithm ◽  
Cipher Text ◽  
Encryption And Decryption ◽  
To Come ◽  
Cryptographic Techniques ◽  
Modified Aes

The wide acceptability of Advanced Encryption Standard (AES) as the most efficient of all of the symmetric cryptographic techniques has further opened it up to more attacks. Efforts that were aimed at securing information while using AES is still being undermined by the activities of attackers This has further necessitated the need for researchers to come up with ways of enhancing the strength of AES. This article presents an enhanced AES algorithm that was achieved by modifying its SubBytes and ShiftRows transformations. The SubBytes transformation is modified to be round key dependent, while the ShiftRows transformation is randomized. The rationale behind the modification is to make the two transformations round key dependent, so that a single bit change in the key will produce a significant change in the cipher text. The conventional and modified AES algorithms are both implemented and evaluated in terms avalanche effect and execution time. The modified AES algorithm achieved an avalanche effect of 57.81% as compared to 50.78 recorded with the conventional AES. However, with 16, 32, 64, and 128 plain text bytes, the modified AES recorded an execution time of 0.18, 0.31, 0.46, and 0.59 ms, respectively. This is slightly higher than the results obtained with the conventional AES. Though a slightly higher execution time in milliseconds was recorded with the modified AES, the improved encryption and decryption strength via the avalanche effects measured is a desirable feat.

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