Welcome to the resource topic for 2023/596
Title:
Time Complexities of Multiple-precision Modular Operations and Related Ratios
Authors: Shenghui Su, Ping Luo
Abstract:Modular arithmetic used for cryptography includes modular adding, modular subtracting, modular multiplying, modular inverting, modular exponentiating etc. In this paper, the authors well analyze the bit complexity of a bitwise modular operation and the time complexity of a non-bitwise modular operation. Besides discuss the clock cycles for one bytewise modular operation utilizing directives from the ATmel 8-bit AVR instruction set. Last, reveal that the ratio of derivate numbers of clock cycles for two modular operations under different modulus lengths is almost a constant.
ePrint: https://eprint.iacr.org/2023/596
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