Author(s): Arnold Mashud Abukari, Edem Kwedzo Bankas, Alhassan Abukari and Mohammed Muniru Iddrisu

Abstract: This study presented a statistical performance analysis of three double-layer homomorphic encryption schemes for cloud Enterprise Resource Planning (ERP) data. In this study, Abukari et al. (2021) proposed a hybrid of two homomorphic encryption scheme and compared with the state-of-the-art Usha (2018) and Bellafqira et al. (2017) double layer homomorphic encryption schemes using the combination of the RSA cryptographic algorithm and the modified Paillier cryptosystem in a hybrid approach. The Multivariate Analysis of Variance (MANOVA) was used to test whether the mean encryption times of the three schemes differ significantly across the data sizes as well as determine which encryption times among the three schemes have the largest difference for each of the data sizes. Preliminary analysis revealed that our new proposed scheme Abukari et al. (2021) has the lowest mean mean encryption times of 5.4150, 10.6570 and 39.9770 across the different data sizes of 7MB, 14MB and 200MB compared to the existing state-of-the-art Bellafqira et al. (2017) and Usha (2018). The MANOVA test revealed that there is a statistically significant difference in encryption times of the various schemes across the different data sizes, F (6, 52) = 8.827, p<0.005; Pillai’s trace = 1.009. The partial η2 = 0.505 indicating that approximately 51% of multivariate variance of the mean encryption times of the three schemes is associated with the different data sizes.From the analysis, the proposed homomorphic encryption scheme which combined the RSA algorithm and a modified Paillier cryptosystem outperformed the other two double layer homomorphic encryption schemes investigated.

DOI: 10.22271/maths.2023.v8.i5a.1195

Pages: 31-39 | Views: 201 | Downloads: 9

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