Applying these fast truncated multiplications, several cryptographic long integer arithmetic algorithms are improved, including integer reciprocals, divisions, Barrett and Montgomery multiplications, 2n-digit modular multiplication on hardware for n-digit half products.
Evaluations show that accuracy of the neutron multiplication factor by the SRAC calculation can be improved by the proposed method.
The values of multiplication factor are consistent with the experiment data and the results also are improved in comparison with other WIMS libraries.
Performance can be improved in three ways: (i) by reducing the frequency of modular multiplications; (ii) by reducing the time required to evaluate modular multiplication; (iii) by increasing the RSA cores.
Montgomery Multiplication is a common and important algorithm for improving the efficiency of public key cryptographic algorithms, like RSA and Elliptic Curve Cryptography (ECC).
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