• The KIPS Transactions:PartA
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• v.10A no.4
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• pp.279-284
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• 2003

In this paper, we propose an efficient architecture for radix-4 modular multiplication in systolic array structure based on the Montgomery's algorithm. We propose a radix-4 modular multiplication algorithm to reduce the number of iterations, so that it takes (3/2)n+2 clock cycles to complete an n-bit modular multiplication. Since we can interleave two consecutive modular multiplications for 100% hardware utilization and can start the next multiplication at the earliest possible moment, it takes about only n/2 clock cycles to complete one modular multiplication in the average. The proposed architecture is quite regular and scalable due to the systolic array structure so that it fits in a VLSI implementation. Compared to conventional approaches, the proposed architecture shows shorter period to complete a modular multiplication while requiring relatively less hardware resources.