An Efficient Algorithm for Finding Optimal Addition Chains

Xiaodong Wang

Abstract


The computational aspects of finding the shortest addition chains for an integer are investigated in this work. Theoretically developed lower and upper bounds for the minimal length of the addition chains for an integer are exploited to construct a subtle pruning function for backtracking algorithm. These techniques are finally combined to build an efficient algorithm for finding the optimal addition chains.

 

DOI: http://dx.doi.org/10.11591/telkomnika.v11i11.2902 


Keywords


addition chains; lower bounds; upper bounds

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The Indonesian Journal of Electrical Engineering and Computer Science (IJEECS)
p-ISSN: 2502-4752, e-ISSN: 2502-4760
This journal is published by the Institute of Advanced Engineering and Science (IAES) in collaboration with Intelektual Pustaka Media Utama (IPMU).

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