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• W4241475709 abstract "Modular exponentiation is a basic operation in cryptosystems. Generally, the performance of this operation has a tremendous impact on the efficiency of the whole application. The efficiency of the modular exponentiation, in turn, depends mainly on that of modular multiplications as the former is somehow a repetition of the latter. One of the methods that computes the modular power is the sliding-window method, which pre-processes the exponent into <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>zero</i> and <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>non-zero</i> partitions. <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>Zero</i> partitions allow for a reduction of the number of modular multiplications required in the exponentiation process. In this paper, we devise a novel system-on-chip (SoC) implementation for computing modular exponentiation using the sliding-window method. We also propose a hardware-only implementation for that operation. The partitioning strategy used in both approaches allows constant-length non-zero partitions, which increases the average number of <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>zero</i> partitions and so decreases that of non-zero partitions. The partitioning strategy allows variable-length <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>zero</i> partitions. The hardware/software co-design implements the modular multiplication on hardware and the rest of the system in software. We provide a useful comparison of the SoC-based implementation against hardware-only implementation. Both of the proposed implementations can be used in any industrial embedded system that needs to secure the handled information." @default.
• W4241475709 created "2022-05-12" @default.
• W4241475709 creator A5048916912 @default.
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• W4241475709 date "2007-08-01" @default.
• W4241475709 modified "2023-10-18" @default.
• W4241475709 title "A Hardware/Software Co-design vs. Hardware Implementation of the Modular Exponentiation Using the Sliding-Window Method with Constant-Length Partitioning" @default.
• W4241475709 doi "https://doi.org/10.1109/dsd.2007.4341458" @default.
• W4241475709 hasPublicationYear "2007" @default.
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