Towards Analysable Chaos-based Cryptosystems: Constructing Difference Distribution Tables for Chaotic Maps
Chaos-based cryptography has yet to achieve practical, real-world applications despite extensive research. A major challenge is the difficulty in analysing the security of these cryptosystems, which often appear ad hoc in design. Unlike conventional cryptography, evaluating the security margins of c...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MMU Press
2024-10-01
|
| Series: | Journal of Informatics and Web Engineering |
| Subjects: | |
| Online Access: | https://journals.mmupress.com/index.php/jiwe/article/view/1194 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850136815043870720 |
|---|---|
| author | Je Sen Teh Abubakar Abba |
| author_facet | Je Sen Teh Abubakar Abba |
| author_sort | Je Sen Teh |
| collection | DOAJ |
| description | Chaos-based cryptography has yet to achieve practical, real-world applications despite extensive research. A major challenge is the difficulty in analysing the security of these cryptosystems, which often appear ad hoc in design. Unlike conventional cryptography, evaluating the security margins of chaos-based encryption against attacks such as differential cryptanalysis is complex. This paper introduces a straightforward approach of using chaotic maps in cryptographic algorithms in a way that facilitates cryptanalysis. We demonstrate how a chaos-based substitution function can be constructed using fixed-point representation, enabling the application of conventional cryptanalysis tools such as the difference distribution table. As a proof-of-concept, we apply our method to the logistic map, showing that differential properties vary based on the initial state and number of iterations. Our findings demonstrate the feasibility of designing analysable chaos-based cryptographic components with well-understood security margins. |
| format | Article |
| id | doaj-art-94ac882ec9a746f49cd1bb70fdfdfbd8 |
| institution | OA Journals |
| issn | 2821-370X |
| language | English |
| publishDate | 2024-10-01 |
| publisher | MMU Press |
| record_format | Article |
| series | Journal of Informatics and Web Engineering |
| spelling | doaj-art-94ac882ec9a746f49cd1bb70fdfdfbd82025-08-20T02:31:00ZengMMU PressJournal of Informatics and Web Engineering2821-370X2024-10-013329030110.33093/jiwe.2024.3.3.181194Towards Analysable Chaos-based Cryptosystems: Constructing Difference Distribution Tables for Chaotic MapsJe Sen Teh0https://orcid.org/0000-0001-5571-4148Abubakar Abba1Deakin University, AustraliaUniversiti Sains Malaysia, MalaysiaChaos-based cryptography has yet to achieve practical, real-world applications despite extensive research. A major challenge is the difficulty in analysing the security of these cryptosystems, which often appear ad hoc in design. Unlike conventional cryptography, evaluating the security margins of chaos-based encryption against attacks such as differential cryptanalysis is complex. This paper introduces a straightforward approach of using chaotic maps in cryptographic algorithms in a way that facilitates cryptanalysis. We demonstrate how a chaos-based substitution function can be constructed using fixed-point representation, enabling the application of conventional cryptanalysis tools such as the difference distribution table. As a proof-of-concept, we apply our method to the logistic map, showing that differential properties vary based on the initial state and number of iterations. Our findings demonstrate the feasibility of designing analysable chaos-based cryptographic components with well-understood security margins.https://journals.mmupress.com/index.php/jiwe/article/view/1194chaos theorycryptographycryptanalysisdifferential cryptanalysiscryptosystem |
| spellingShingle | Je Sen Teh Abubakar Abba Towards Analysable Chaos-based Cryptosystems: Constructing Difference Distribution Tables for Chaotic Maps Journal of Informatics and Web Engineering chaos theory cryptography cryptanalysis differential cryptanalysis cryptosystem |
| title | Towards Analysable Chaos-based Cryptosystems: Constructing Difference Distribution Tables for Chaotic Maps |
| title_full | Towards Analysable Chaos-based Cryptosystems: Constructing Difference Distribution Tables for Chaotic Maps |
| title_fullStr | Towards Analysable Chaos-based Cryptosystems: Constructing Difference Distribution Tables for Chaotic Maps |
| title_full_unstemmed | Towards Analysable Chaos-based Cryptosystems: Constructing Difference Distribution Tables for Chaotic Maps |
| title_short | Towards Analysable Chaos-based Cryptosystems: Constructing Difference Distribution Tables for Chaotic Maps |
| title_sort | towards analysable chaos based cryptosystems constructing difference distribution tables for chaotic maps |
| topic | chaos theory cryptography cryptanalysis differential cryptanalysis cryptosystem |
| url | https://journals.mmupress.com/index.php/jiwe/article/view/1194 |
| work_keys_str_mv | AT jesenteh towardsanalysablechaosbasedcryptosystemsconstructingdifferencedistributiontablesforchaoticmaps AT abubakarabba towardsanalysablechaosbasedcryptosystemsconstructingdifferencedistributiontablesforchaoticmaps |