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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

Effect of improved multiplication efficiency on exponentiation algorithms derived from addition chains


Author: D. P. McCarthy
Journal: Math. Comp. 46 (1986), 603-608
MSC: Primary 68Q25
MathSciNet review: 829630
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Abstract: The interaction between the efficiency of the basic multiplication algorithm and the addition chain used to compute $ {x^n}$ is studied. We conclude that either repeated multiplication by x or repeated squaring should be used and the provenance of each technique is established.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1986-0829630-0
PII: S 0025-5718(1986)0829630-0
Article copyright: © Copyright 1986 American Mathematical Society