Decompositions of graphs of functions and fast iterations of lookup tables

Boaz Tsaban

doi:10.1016/j.dam.2006.06.006

Decompositions of graphs of functions and fast iterations of lookup tables

Boaz Tsaban

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We show that every function f implemented as a lookup table can be implemented such that the computational complexity of evaluating f^m (x) is small, independently of m and x. The implementation only increases the storage space by a small constant factor.

Original language	English
Pages (from-to)	386-393
Number of pages	8
Journal	Discrete Applied Mathematics
Volume	155
Issue number	3
DOIs	https://doi.org/10.1016/j.dam.2006.06.006
State	Published - 1 Feb 2007
Externally published	Yes

Keywords

Cycle decomposition
Cycle structure
Fast forward functions
Fast forward permutations

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10.1016/j.dam.2006.06.006

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KW - Fast forward permutations

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Decompositions of graphs of functions and fast iterations of lookup tables

Abstract

Keywords

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