Name: Effect of Improved Multiplication Efficiency on Exponentiation Algorithms Derived from Addition Chains
Creator: McCarthy, D. P.
Keywords: Analysis of algorithms and problem complexity, multiplication chains, repeated multiplication, 4. Education, 1. No poverty, binary algorithm, 0102 computer and information sciences, 0101 mathematics, Symbolic computation and algebraic computation, 01 natural sciences

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

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1986Publisher:JSTORJournal:Mathematics of Computation, volume 46, page 603 (issn: 0025-5718,

Authors: McCarthy, D. P.;

doi: 10.2307/2007998 , 10.1090/s0025-5718-1986-0829630-0

Effect of Improved Multiplication Efficiency on Exponentiation Algorithms Derived from Addition Chains

- Summary
- Subjects
- Metrics

Abstract

The interaction between the efficiency of the basic multiplication algorithm and the addition chain used to compute x n {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.

Keywords

Analysis of algorithms and problem complexity, multiplication chains, repeated multiplication, binary algorithm, Symbolic computation and algebraic computation, additon chains

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	3
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average