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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Hauptverfasser: Nedjah, Nadia, de Macedo Mourelle, Luiza
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.
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-540-30499-9_168