Sine-cosine optimization-based bijective substitution-boxes construction using enhanced dynamics of chaotic map
This paper proposes a novel method of constructing strong substitution-boxes (S-boxes) of order n (4 ≤ n ≤ 8) based on a recent optimization algorithm known as sine-cosine algorithm (SCA). The paper also proposes a new 1D chaotic map, which owns enhanced dynamics compared to conventional chaotic map...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2018
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/29369/ http://umpir.ump.edu.my/id/eprint/29369/1/Sine-cosine%20optimization-based%20bijective%20substitution-boxes%20construction.pdf |
| _version_ | 1848823263314051072 |
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| author | Alzaidi, Amer Awad Ahmad, Musheer Ahmed, Hussam S. Al Solami, Eesa |
| author_facet | Alzaidi, Amer Awad Ahmad, Musheer Ahmed, Hussam S. Al Solami, Eesa |
| author_sort | Alzaidi, Amer Awad |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | This paper proposes a novel method of constructing strong substitution-boxes (S-boxes) of order n (4 ≤ n ≤ 8) based on a recent optimization algorithm known as sine-cosine algorithm (SCA). The paper also proposes a new 1D chaotic map, which owns enhanced dynamics compared to conventional chaotic map, for generating initial population of S-boxes and facilitating the optimization mechanism of SCA. The proposed method applies the SCA with enhanced chaotic map to explore and exploit the search space for obtaining optimized S-boxes on the basis of maximization of nonlinearity as fitness function. The S-box construction involves three phases such as initialization of population, optimization, and adjustment. The simulation and performance analyses are done using standard measures of nonlinearity, strict avalanche criterion, bits independence criterion, differential uniformity, linear approximation probability, and autocorrelation function. The obtained experimental results are compared with some immediate optimization-based and other S-boxes to show the strength of proposed method for constructing bijective S-boxes of salient cryptographic features. |
| first_indexed | 2025-11-15T02:54:21Z |
| format | Article |
| id | ump-29369 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T02:54:21Z |
| publishDate | 2018 |
| publisher | Hindawi Limited |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-293692022-11-07T09:48:04Z http://umpir.ump.edu.my/id/eprint/29369/ Sine-cosine optimization-based bijective substitution-boxes construction using enhanced dynamics of chaotic map Alzaidi, Amer Awad Ahmad, Musheer Ahmed, Hussam S. Al Solami, Eesa QA76 Computer software This paper proposes a novel method of constructing strong substitution-boxes (S-boxes) of order n (4 ≤ n ≤ 8) based on a recent optimization algorithm known as sine-cosine algorithm (SCA). The paper also proposes a new 1D chaotic map, which owns enhanced dynamics compared to conventional chaotic map, for generating initial population of S-boxes and facilitating the optimization mechanism of SCA. The proposed method applies the SCA with enhanced chaotic map to explore and exploit the search space for obtaining optimized S-boxes on the basis of maximization of nonlinearity as fitness function. The S-box construction involves three phases such as initialization of population, optimization, and adjustment. The simulation and performance analyses are done using standard measures of nonlinearity, strict avalanche criterion, bits independence criterion, differential uniformity, linear approximation probability, and autocorrelation function. The obtained experimental results are compared with some immediate optimization-based and other S-boxes to show the strength of proposed method for constructing bijective S-boxes of salient cryptographic features. Hindawi Limited 2018 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/29369/1/Sine-cosine%20optimization-based%20bijective%20substitution-boxes%20construction.pdf Alzaidi, Amer Awad and Ahmad, Musheer and Ahmed, Hussam S. and Al Solami, Eesa (2018) Sine-cosine optimization-based bijective substitution-boxes construction using enhanced dynamics of chaotic map. Complexity, 2018 (9389065). pp. 1-17. ISSN 1076-2787. (Published) https://doi.org/10.1155/2018/9389065 https://doi.org/10.1155/2018/9389065 |
| spellingShingle | QA76 Computer software Alzaidi, Amer Awad Ahmad, Musheer Ahmed, Hussam S. Al Solami, Eesa Sine-cosine optimization-based bijective substitution-boxes construction using enhanced dynamics of chaotic map |
| title | Sine-cosine optimization-based bijective substitution-boxes construction using enhanced dynamics of chaotic map |
| title_full | Sine-cosine optimization-based bijective substitution-boxes construction using enhanced dynamics of chaotic map |
| title_fullStr | Sine-cosine optimization-based bijective substitution-boxes construction using enhanced dynamics of chaotic map |
| title_full_unstemmed | Sine-cosine optimization-based bijective substitution-boxes construction using enhanced dynamics of chaotic map |
| title_short | Sine-cosine optimization-based bijective substitution-boxes construction using enhanced dynamics of chaotic map |
| title_sort | sine-cosine optimization-based bijective substitution-boxes construction using enhanced dynamics of chaotic map |
| topic | QA76 Computer software |
| url | http://umpir.ump.edu.my/id/eprint/29369/ http://umpir.ump.edu.my/id/eprint/29369/ http://umpir.ump.edu.my/id/eprint/29369/ http://umpir.ump.edu.my/id/eprint/29369/1/Sine-cosine%20optimization-based%20bijective%20substitution-boxes%20construction.pdf |