New formula to calculate the number of designs in RADG cryptosystem

Reaction automata direct graph (RADG) is a new technique that uses the automata direct graph method to represent a certain design for encryption and decryption. Jump states are available in the RADG design that enables the encipher to generate different ciphertexts each time from the same plaintext...

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Main Authors: Kadhum, Laith M., Ahmad Firdaus, Zainal Abidin, Mohamad Fadli, Zolkipli, Saferalia, Luay, Mohd Faizal, Ab Razak
Format: Article
Language:English
Published: Semnan University 2021
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/34007/1/New%20formula%20to%20calculate%20the%20number%20of%20designs%20in%20RADG.pdf
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author Kadhum, Laith M.
Ahmad Firdaus, Zainal Abidin
Mohamad Fadli, Zolkipli
Saferalia, Luay
Mohd Faizal, Ab Razak
author_facet Kadhum, Laith M.
Ahmad Firdaus, Zainal Abidin
Mohamad Fadli, Zolkipli
Saferalia, Luay
Mohd Faizal, Ab Razak
author_sort Kadhum, Laith M.
collection UMP
description Reaction automata direct graph (RADG) is a new technique that uses the automata direct graph method to represent a certain design for encryption and decryption. Jump states are available in the RADG design that enables the encipher to generate different ciphertexts each time from the same plaintext and wherein not a single ciphertext is related to a certain plaintext. This study created a matrix representation for RADG designs that allows the calculation of the number of cases (FQFQ)mathematically possible for any design of the set QQ. FQFQ is an important part of the function F(n,m,λ)F(n,m,λ) that calculates the total number of cases of a certain design for the values Q,R,∑,ψ,JQ,R,∑,ψ,J and TT. This paper produces a mathematical equation to calculate FQFQ.
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spelling UMPir340072022-05-09T08:34:07Z http://umpir.ump.edu.my/id/eprint/34007/ New formula to calculate the number of designs in RADG cryptosystem Kadhum, Laith M. Ahmad Firdaus, Zainal Abidin Mohamad Fadli, Zolkipli Saferalia, Luay Mohd Faizal, Ab Razak QA76 Computer software Reaction automata direct graph (RADG) is a new technique that uses the automata direct graph method to represent a certain design for encryption and decryption. Jump states are available in the RADG design that enables the encipher to generate different ciphertexts each time from the same plaintext and wherein not a single ciphertext is related to a certain plaintext. This study created a matrix representation for RADG designs that allows the calculation of the number of cases (FQFQ)mathematically possible for any design of the set QQ. FQFQ is an important part of the function F(n,m,λ)F(n,m,λ) that calculates the total number of cases of a certain design for the values Q,R,∑,ψ,JQ,R,∑,ψ,J and TT. This paper produces a mathematical equation to calculate FQFQ. Semnan University 2021 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/34007/1/New%20formula%20to%20calculate%20the%20number%20of%20designs%20in%20RADG.pdf Kadhum, Laith M. and Ahmad Firdaus, Zainal Abidin and Mohamad Fadli, Zolkipli and Saferalia, Luay and Mohd Faizal, Ab Razak (2021) New formula to calculate the number of designs in RADG cryptosystem. International Journal of Nonlinear Analysis and Applications (IJNAA), 12 (1). pp. 821-829. ISSN 2008-6822. (Published) http://dx.doi.org/10.22075/ijnaa.2021.4937 http://dx.doi.org/10.22075/ijnaa.2021.4937
spellingShingle QA76 Computer software
Kadhum, Laith M.
Ahmad Firdaus, Zainal Abidin
Mohamad Fadli, Zolkipli
Saferalia, Luay
Mohd Faizal, Ab Razak
New formula to calculate the number of designs in RADG cryptosystem
title New formula to calculate the number of designs in RADG cryptosystem
title_full New formula to calculate the number of designs in RADG cryptosystem
title_fullStr New formula to calculate the number of designs in RADG cryptosystem
title_full_unstemmed New formula to calculate the number of designs in RADG cryptosystem
title_short New formula to calculate the number of designs in RADG cryptosystem
title_sort new formula to calculate the number of designs in radg cryptosystem
topic QA76 Computer software
url http://umpir.ump.edu.my/id/eprint/34007/1/New%20formula%20to%20calculate%20the%20number%20of%20designs%20in%20RADG.pdf
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