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- W2123264554 abstract "We propose a fast hardware algorithm for division in GF(2 <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</i> ) based on the extended Euclid's algorithm. The algorithm requires only one iteration to perform the operations that correspond to the ones performed in two iterations of previously reported division algorithms. Since the algorithm performs modular reductions in parallel by changing the order of execution of the operations, a circuit based on this algorithm has almost the same critical path delay as the previously proposed ones. The circuit computes division in <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</i> clock cycles, whereas the previously proposed circuits take 2 <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</i> - 1 or more clock cycles." @default.
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- W2123264554 date "2009-08-01" @default.
- W2123264554 modified "2023-10-17" @default.
- W2123264554 title "Fast Hardware Algorithm for Division in $ hbox{GF}(2^{m})$ Based on the Extended Euclid's Algorithm With Parallelization of Modular Reductions" @default.
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- W2123264554 doi "https://doi.org/10.1109/tcsii.2009.2024253" @default.
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