Selective chaotic maps Tiki-Taka algorithm for the S-box generation and optimization
Cryptography often involves substituting (and converting) the secret information into dummy data so that it could reach the desired destination without leakage. Within symmetric key cryptography, substitution-box (S-box) is often adopted to perform the actual block cipher substitution. To address th...
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| Format: | Article |
| Language: | English |
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Springer
2021
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| Online Access: | http://umpir.ump.edu.my/id/eprint/33976/1/Selective%20chaotic%20maps%20Tiki-Taka.pdf |
| _version_ | 1796995065405505536 |
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| author | Kamal Z., Zamli Abdul Kader, . Fakhrud Din, . Alhadawi, Hussam S. |
| author_facet | Kamal Z., Zamli Abdul Kader, . Fakhrud Din, . Alhadawi, Hussam S. |
| author_sort | Kamal Z., Zamli |
| collection | UMP |
| description | Cryptography often involves substituting (and converting) the secret information into dummy data so that it could reach the desired destination without leakage. Within symmetric key cryptography, substitution-box (S-box) is often adopted to perform the actual block cipher substitution. To address the nonlinear requirement of cryptography (i.e., ensuring the generated S-box is sufficiently robust against linear and differential cryptanalysis attacks), many chaos-based metaheuristic algorithms have been developed in the literature. This paper introduces a new variant of a metaheuristic algorithm based on Tiki-Taka algorithm, called selective chaotic maps Tiki-Taka algorithm (SCMTTA). Unlike competing works (which typically integrates a single chaotic map into a particular metaheuristic algorithm), SCMTTA assembles five chaotic maps (i.e., tent map, logistic map, Chebyshev map, singer map and sine map) as part of the algorithm itself in order to further enhance ergodicity and unpredictability of the generated solution. Based on a simple penalized and reward mechanism, one best performing chaotic map will be selected in the current cycle, while the poor performing one will miss its current turn. Experimental results on the case study related to the generation of 8 × 8 substitution-box demonstrate that the proposed SCMTTA gives competitive performance against other existing works due to its ability to adaptively modify its chaotic behavior based on the performance feedback of the current search process. |
| first_indexed | 2024-03-06T12:56:50Z |
| format | Article |
| id | UMPir33976 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:56:50Z |
| publishDate | 2021 |
| publisher | Springer |
| record_format | dspace |
| spelling | UMPir339762022-05-09T06:37:31Z http://umpir.ump.edu.my/id/eprint/33976/ Selective chaotic maps Tiki-Taka algorithm for the S-box generation and optimization Kamal Z., Zamli Abdul Kader, . Fakhrud Din, . Alhadawi, Hussam S. QA76 Computer software Cryptography often involves substituting (and converting) the secret information into dummy data so that it could reach the desired destination without leakage. Within symmetric key cryptography, substitution-box (S-box) is often adopted to perform the actual block cipher substitution. To address the nonlinear requirement of cryptography (i.e., ensuring the generated S-box is sufficiently robust against linear and differential cryptanalysis attacks), many chaos-based metaheuristic algorithms have been developed in the literature. This paper introduces a new variant of a metaheuristic algorithm based on Tiki-Taka algorithm, called selective chaotic maps Tiki-Taka algorithm (SCMTTA). Unlike competing works (which typically integrates a single chaotic map into a particular metaheuristic algorithm), SCMTTA assembles five chaotic maps (i.e., tent map, logistic map, Chebyshev map, singer map and sine map) as part of the algorithm itself in order to further enhance ergodicity and unpredictability of the generated solution. Based on a simple penalized and reward mechanism, one best performing chaotic map will be selected in the current cycle, while the poor performing one will miss its current turn. Experimental results on the case study related to the generation of 8 × 8 substitution-box demonstrate that the proposed SCMTTA gives competitive performance against other existing works due to its ability to adaptively modify its chaotic behavior based on the performance feedback of the current search process. Springer 2021 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/33976/1/Selective%20chaotic%20maps%20Tiki-Taka.pdf Kamal Z., Zamli and Abdul Kader, . and Fakhrud Din, . and Alhadawi, Hussam S. (2021) Selective chaotic maps Tiki-Taka algorithm for the S-box generation and optimization. Neural Computing and Applications, 33. pp. 16641-16658. ISSN 0941-0643. (Published) https://doi.org/10.1007/s00521-021-06260-8 https://doi.org/10.1007/s00521-021-06260-8 |
| spellingShingle | QA76 Computer software Kamal Z., Zamli Abdul Kader, . Fakhrud Din, . Alhadawi, Hussam S. Selective chaotic maps Tiki-Taka algorithm for the S-box generation and optimization |
| title | Selective chaotic maps Tiki-Taka algorithm for the S-box generation and optimization |
| title_full | Selective chaotic maps Tiki-Taka algorithm for the S-box generation and optimization |
| title_fullStr | Selective chaotic maps Tiki-Taka algorithm for the S-box generation and optimization |
| title_full_unstemmed | Selective chaotic maps Tiki-Taka algorithm for the S-box generation and optimization |
| title_short | Selective chaotic maps Tiki-Taka algorithm for the S-box generation and optimization |
| title_sort | selective chaotic maps tiki taka algorithm for the s box generation and optimization |
| topic | QA76 Computer software |
| url | http://umpir.ump.edu.my/id/eprint/33976/1/Selective%20chaotic%20maps%20Tiki-Taka.pdf |
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