# Enhancing Visual Data Security: A Novel FSM-Based Image Encryption and Decryption Methodology
## 5 Conclusions
All authors have read and agreed to the published version of the manuscript. This work was supported by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan under Grant No. AP19677422. Data are contained within the article. The authors declare no conflicts of interest. The funders had no role in the design of the study, in the collection, analyses, or interpretation of data, in the writing of the manuscript, or in the decision to publish the results. * [PERSON] et al. (2011) [PERSON]; [PERSON] [PERSON]; [PERSON] _On Linear Finite Automata and Cryptography_; Tech. Rep. DCC-2011-11, Ver. 1.0; Faculdade De Ciencias Universidade Do Porto: Porto, Portugal, 2011. * [PERSON] et al. (2015) [PERSON]; [PERSON]; [PERSON] Encryption and Decryption Using Automata Theory. _Int. J. Multidiscip. Sci. Eng._**2015**, \(6\), 14-21. * [PERSON] et al. (2022) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Cryptography using Automata Theory. In _ITM Web of Conferences_; EDP Sciences: Les Ulis, France, 2022; Volume 50, pp. 1-9. [CrossRef]
* [PERSON] et al. (2016) [PERSON]; [PERSON]; [PERSON]; [PERSON] An overview of cryptosystems based on finite automata. _J. Adv. Rev. Sci. Res._**2016**, _27_, 1-7. * [PERSON] (2016) [PERSON]; [PERSON]. Authenticated Encryption based on finite automata cryptosystems. In Proceedings of the 2016 13 th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE), Mexico City, Mexico, 26-30 September 2016; pp. 1-6. * [PERSON] et al. (2019) [PERSON]; [PERSON]; [PERSON]; [PERSON] Deterministic chaotic finite-state automata. _Nonlinear Dyn._**2019**, _98_, 2403-2421. [CrossRef]
* [PERSON] et al. (2023) [PERSON]; [PERSON] [PERSON]; [PERSON] A New Image Encryption Algorithm Based on DNA State Machine for UAV Data Encryption. _Drones_**2023**, \(7\), 38. [CrossRef]
* [PERSON] et al. (2020) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Image Encryption Algorithm Based on Block Scrambling and Finite State Machine. _IEEE Access_**2020**, \(8\), 225831-225844. [CrossRef]
* [PERSON] et al. (2024) [PERSON]; [PERSON] [PERSON]; [PERSON] [PERSON]; [PERSON] An S-Box construction from exponentiation in finite fields and its application in RGB color image encryption. _Multimed. Tools Appl._**2024**, _83_, 41213-41241. [CrossRef]
* [PERSON] et al. (2019) [PERSON]; [PERSON]; [PERSON] An image encryption scheme based on hybridizing digital chaos and finite state machine. _Signal Process._**2019**, _164_, 249-266. [CrossRef]
* [PERSON] (2012) [PERSON] Perfectly secure encryption of individual sequences. _IEEE Trans. Inf. Theory_**2012**, _59_, 1302-1310. [CrossRef]
* [PERSON] et al. (2019) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] A new hybrid image encryption algorithm based on 2D-CA, FSM-DNA rule generator, and FSBI. _IEEE Access_**2019**, \(7\), 81333-81350. [CrossRef]
* [PERSON] (1996) [PERSON]; [PERSON] [PERSON] Automata synthesis of low-power gated-clock finite-state machines. _IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst._**1996**, _15_, 630-643. [CrossRef]
* [PERSON] et al. (2023) [PERSON]; [PERSON]; [PERSON]; [PERSON] Development of Reliable and Effective Methods of Cryptographic Protection of Information Based on the Finite Automata Theory. _Eurasia Proc. Sci. Technol. Eng. Math._**2023**, _26_, 19-25. [CrossRef]
* [PERSON] (2007) [PERSON] Application of automata-theoretic models in cryptography. _Math. Struct. Model._**2007**, \(1\), 112-120. * [PERSON] et al. (2023) [PERSON]; [PERSON] [PERSON]; [PERSON] Efficient Algebraic Method for Testing the Invertibility of Finite State Machines. _Computation_**2023**, _11_, 125. [CrossRef]
* [PERSON] et al. (2009) [PERSON]; [PERSON] _Switching and Finite Automata Theory_; Cambridge University Press: Cambridge, UK, 2009. * [PERSON] et al. (2021) [PERSON]; [PERSON] [PERSON]; [PERSON]; [PERSON]; [PERSON] [PERSON] Application of Pseudo-Memory Finite Automata for Information Encryption.