Approaches for the performance increasing of software implementation of integer multiplication in prime fields

Vladislav Kovtun Chair of Information Security National Aviation University Kiev, Ukraine [email protected] Andrew Okhrimenko Chair of Information Security National Aviation University Kiev, Ukraine [email protected] Authors have proposed the approach to increase performance of software implementation of finite field multiplication algorithm, for 32-bit and 64-bit platforms. The approach is based on delayed carry mechanism of significant bit in sum accumulating. This allows to avoid the requirement of taking into account the significant bit carry at the each iteration of the sum accumulation loop. The delayed carry mechanism reduces the total number of additions and gives the opportunity to apply the modern parallelization technologies.