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Hardware Architecture for Exponentiation Based on Square Root Extraction over GF(2m)

Han Weiwei, Debiao He

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Abstract

Square root extraction over GF(2m) is introduced and a new hardware architecture for exponentiation over GF(2m) based on the square root extraction is proposed. Compared with the classical square-and-multiply architecture, the proposed architecture is shown to calculate exponentiation with fewer cycles over GF(2m) in most cases.

About this research paper

What this paper is about

Square root extraction over GF(2m) is introduced and a new hardware architecture for exponentiation over GF(2m) based on the square root extraction is proposed. Compared with the classical square-and-multiply architecture, the proposed architecture is shown to calculate exponentiation with fewer cycles over GF(2m) in most cases.

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Available abstract

Square root extraction over GF(2m) is introduced and a new hardware architecture for exponentiation over GF(2m) based on the square root extraction is proposed. Compared with the classical square-and-multiply architecture, the proposed architecture is shown to calculate exponentiation with fewer cycles over GF(2m) in most cases.

Key concepts: Exponentiation, Square root, Square (algebra), Architecture, Computer science, Mathematics, Discrete mathematics, Algorithm

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