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Journal of Statistics Applications & Probability
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Vol. 14 > No. 6

 
   

A Statistical Analysis of Commutativity Degrees in Finite Group Chains: Implications for Machine Learning–Based Cryptanalysis

PP: 947-954
doi:10.18576/jsap/140630        
Author(s)
Sulieman Shelash, Hamza Farhan Ahmad, A. Vasudevan, Hanan Jadallah, Mohammad Faleh Hunitie, Yogeesh N,
Abstract
In this work, we introduced the graph-theoretic vulnerability modelling framework of post-quantum cryptosystems with the deep-learning-based performance evaluation is introduced. The suggested solution combines structural graph modelling of cryptographic elements with regression, and classification-based predictive analytics to determine quantitatively how resilient a system will be in terms of its attack surface in the quantum era. The regression metrics MSE, RMSE, MAE and R 2 metrics quantify the prediction fidelity of structural risk estimation and classification metrics accuracy, precision, recall, F1-score and ROC-AUC metrics finally allow accurate detection of vulnerable states of cryptographic settings in a variety of different cryptographic configurations. This methodology shows that the deep learning models are applicable to predicting the probability of vulnerabilities with graph-based cryptographic features, and it provides a scalable analysis pipeline with the use of emerging post-quantum technologies. Findings validate the hypothesis that the graph-theoretic and machine-learning framework is highly beneficial in enhancing the robustness analysis of lattice-, hash-, and code-based encryption, which in turn can be used to assist more secure and resilient cryptographic constructions.

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