A reversible system based on hybrid toggle radius-4 cellular automata and its application as a block cipher

Lira, Everton R.; Macêdo, Heverton B.; Lima, Danielli A.; Alt, Leonardo S.; Oliveira, Gina M. B.

doi:10.1007/s11047-023-09941-6

Cited by 2 publications

(1 citation statement)

References 59 publications

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“…This endeavor aims to enhance the security of data transmission across networks. Furthermore, there are several methods available for their development, such as chaotics maps [13][14][15], Lorenz equations [16,17], and cellular automata [17,18], among others.…”

Section: Related Workmentioning

confidence: 99%

Chaos Meets Cryptography: Developing an S-Box Design with the Rössler Attractor

Corona-Bermúdez,

Chimal-Eguía,

Corona-Bermúdez

et al. 2023

Mathematics

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The volume of data transmitted over networks has significantly increased in recent years. For that reason, safeguarding the privacy, authenticity, and confidentiality of specific data is imperative, necessitating a type of encryption; symmetric encryption, known for its computational efficiency, is ideal for securing extensive datasets. A principal component within symmetric key algorithms is the substitution box (S-box), which creates confusion between plaintext and ciphertext, enhancing the security of the process. This paper proposes a fashion method to create chaotic S-boxes using the Rössler attractor as a chaotic process and the Rijndael S-box as a permutation box. The proposed S-boxes are evaluated with bijectivity, non-linearity (NL), strict avalanche criterion (SAC), bit independence criterion (BIC), linear approximation probability (LAP), and differential uniformity (DU). The analyses show that the proposed method helps generate a high-resistance S-box to well-known attacks and high efficiency, executing in short computational time.

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Section: Related Workmentioning

confidence: 99%

Chaos Meets Cryptography: Developing an S-Box Design with the Rössler Attractor

Corona-Bermúdez,

Chimal-Eguía,

Corona-Bermúdez

et al. 2023

Mathematics

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Clustered-map probabilistic cellular automata for fire propagation in the Brazilian Cerrado with heterogeneous vegetation and wind interference

Brasiel,

Lima

2024

urs

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<abstract><p>Wildfires pose a significant threat to both biodiversity and human communities, and understanding their behavior and the rate at which they burn through different vegetation types is crucial for effective management and conservation. In this research, we present a comprehensive analysis of wildfire behavior and vegetation burning rates in the unique ecosystem of Sete Cidades National Park. To achieve this, we adopt a qualiquantitative approach that combines both qualitative and quantitative methodologies, considering the multifaceted variables at play, including wind conditions, various vegetation types, and the dynamics of fire progression. We conducted an extensive dataset comprising $ 100 $ simulations for each of three distinct scenarios, ensuring robustness in our data for statistical analysis. By incorporating qualitative data obtained through field observations and expert opinions, we gain a deeper understanding of the contextual nuances specific to Sete Cidades National Park. This approach enriches the interpretation of our quantitative results, providing valuable context and real-world relevance. Our materials include a cellular automaton lattice with $ 200 \times 200 $ cells, representing the diverse landscape of the study area. We used MATLAB to visualize this landscape, generating distinct representations of the scenarios. Our findings reveal the distribution of different vegetation types across these scenarios, emphasizing the resilience of Rupestrian Cerrado, the diversity of Typical Cerrado, and the importance of Riparian Forest in preserving aquatic ecosystems. This research contributes to the broader understanding of wildfire management, considering the interdisciplinary aspects of environmental science, forestry, and meteorology. By integrating knowledge from diverse fields, we provide a holistic analysis that can inform effective conservation strategies and wildfire management practices.</p></abstract>

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A reversible system based on hybrid toggle radius-4 cellular automata and its application as a block cipher

Cited by 2 publications

References 59 publications

Chaos Meets Cryptography: Developing an S-Box Design with the Rössler Attractor

Chaos Meets Cryptography: Developing an S-Box Design with the Rössler Attractor

Clustered-map probabilistic cellular automata for fire propagation in the Brazilian Cerrado with heterogeneous vegetation and wind interference

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