Algebraic structures for lightweight block cipher design
Ambi Rachel Alexambi.alex@gulfuniversity.edu.bhDepartment of Electrical & Electronic EngineeringCollege of EngineeringGulf UniversitySanad, 26489, Kingdom of BahrainView full profile → , *Bipin SuleCorresponding authorbipin.sule@vit.eduDepartment of Engineering Science and HumanitiesVishwakarma Institute of TechnologyPune, Maharashtra, 411037, IndiaView full profile → , Megha Jaggamegha.jagga.orp@chitkara.edu.inCentre of Research Impact and OutcomeChitkara UniversityRajpura, Punjab, 140401, IndiaView full profile → , Bodireddy Vamalathabodireddyvamalathaaa@proton.meCentre for Multidisciplinary ResearchAnurag UniversityHyderabad, Telangana, 500088, IndiaView full profile → , Shubhi Goyalshubhi.mathematics@quantumeducation.inQuantum University Research CenterQuantum UniversityRoorkee, Uttarakhand, 247667, India0009-0001-1684-7324View full profile → , Gagan Tiwarigagan.tiwari@niu.edu.inDepartment of Computer SciencesNoida International UniversityGreater Noida, Uttar Pradesh, 203201, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Apr 2026
- Published Online:
- 31 Oct 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-3011
- Pages:
- 3815–3826
Abstract
Securing resource constrained devices such as IoT, embedded or wireless sensor devices requires lightweight cryptographic mechanisms. An algebraic method for designing light-weight block ciphers which provides an efficient diffusion and confusion by using finite field arithmetic, matrix-based diffusion layers and group-theoretic permutation operations is presented. The design proposed in this paper incorporates algebraic transformations for secure substitution permutation processing with low memory requirement, low energy consumption and high encryption speed. Formal algebraic modeling is then used again for the analysis of resistance against linear, differential and algebraic cryptanalysis attacks. The experimental performance evaluation proves that it achieves the better performances in terms of encryption efficiency, optimization of memory consumption and computational overhead over the traditional “lightweight ciphers” approaches. The proposed approach provides a scalable and secure cryptographic solution for next-generation resource-constrained computing environments.
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References
[1] S. M. Al-Nofaie, S. Sharaf, and R. Molla, “Design trends and comparative analysis of lightweight block ciphers for IoTs,” Applied Sciences, vol. 15, no. 14, Art. no. 7740 (2025), doi: 10.3390/app15147740.
[2] K. Matheis, R. Steinwandt, and A. Suárez Corona, “Algebraic properties of the block cipher DESL,” Symmetry, vol. 11, no. 11, Art. no. 1411 (2019), doi: 10.3390/sym11111411.
[3] N. Ibrahim and J. Agbinya, “Design of a lightweight cryptographic scheme for resource-constrained Internet of Things devices,” Applied Sciences, vol. 13, no. 7, Art. no. 4398 (2023), doi: 10.3390/app13074398.
[4] J. S. Banerjee, A. J. Obaid, and Z. Pólkowski, “Special issue on topology and linear algebra in cryptographic security: New frontiers in cryptanalysis (Part-A),” Journal of Discrete Mathematical Sciences and Cryptography, vol. 28, no. 4-A, pp. 1007–1264 (2025), doi: 10.47974/JDMSC-28-4-A-Foreword.
[5] S. M. Al-Nofaie, S. Sharaf, and R. Molla, “The SMA: A novel 2D matrix-based lightweight block cipher for IoT security,” Electronics, vol. 15, no. 1, Art. no. 172 (2026), doi: 10.3390/electronics15010172.
[6] X. Fang, H. Zhang, X. Cui, Y. Wang, and L. Ding, “Efficient attack scheme against SKINNY-64 based on algebraic fault analysis,” Entropy, vol. 25, no. 6, Art. no. 908 (2023), doi: 10.3390/e25060908.
[7] S. Aziz, I. A. Shoukat, M. Iftikhar, M. Murtaza, A. M. Alenezi, C.-C. Lee, and I. Taj, “Next-generation block ciphers: Achieving superior memory efficiency and cryptographic robustness for IoT devices,” Cryptography, vol. 8, no. 4, Art. no. 47 (2024), doi: 10.3390/cryptography8040047.
[8] C. M. Anish, A. Jadhav, H. N. Datir, G. S. Mate, A. Ashirova, and A. Rawat, “Lightweight AI-supported ECC algorithms for security in IoT and edge devices,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 29, no. 2-B, pp. 779–787 (2026), doi: 10.47974/JDMSC-2524.
[9] V. K. Vatsavayi and D. R. Bommireddy, “Secure and efficient block cipher mode design for parallel processing and reliable security,” Cryptography, vol. 10, no. 1, Art. no. 13 (2026), doi: 10.3390/cryptography10010013.
[10] V. Jara-Vera and C. Sánchez-Ávila, “Some notes on a formal algebraic structure of cryptology,” Mathematics, vol. 9, no. 18, Art. no. 2183 (2021), doi: 10.3390/math9182183.




