Minimal Addition-Subtraction Chains with Ant Colony
Addition-subtraction chains (AS-chains) consist of a sequence of integers that allow one to efficiently compute power TE, where T varies but E is constant. The shorter the AS-chain is, the more efficient the computation. Solving the minimisation problem that yields the shortest addition-subtraction...
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Format: | Tagungsbericht |
Sprache: | eng |
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Zusammenfassung: | Addition-subtraction chains (AS-chains) consist of a sequence of integers that allow one to efficiently compute power TE, where T varies but E is constant. The shorter the AS-chain is, the more efficient the computation. Solving the minimisation problem that yields the shortest addition-subtraction is NP-hard. There exists some heuristics that attempt to obtain reduced AS-chains. In this paper, we compute minimal addition- subtraction chains using the ant-colony methodology. |
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ISSN: | 0302-9743 1611-3349 |
DOI: | 10.1007/978-3-540-30499-9_168 |