Abstract | ||
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Given a natural number , an addition chain for is a finite sequence of numbers having the following properties: (1) the first number is one, (2) every element is the sum of two earlier elements, and (3) the given number occurs at the end of the sequence. We introduce a fast optimal algorithm to generate a chain of short length for the number of -bits. The algorithm is based on the right–left binary strategy and barrel shifter circuit. The algorithm uses processors and runs in time under exclusive read exclusive write parallel random access machine. |
Year | DOI | Venue |
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2018 | https://doi.org/10.1007/s11227-017-2129-0 | The Journal of Supercomputing |
Keywords | Field | DocType |
Short chain,Parallel algorithm,Binary method,Parallel random access machine | Natural number,Finite sequence,Parallel random-access machine,Computer science,Parallel algorithm,Parallel computing,Barrel shifter,e,Distributed computing,Addition chain,Binary number | Journal |
Volume | Issue | ISSN |
74 | 1 | 0920-8542 |
Citations | PageRank | References |
2 | 0.43 | 7 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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Hazem M. Bahig | 1 | 24 | 7.61 |