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arxiv: cs/0508133 · v4 · pith:AHWJIC26new · submitted 2005-08-31 · 💻 cs.CC · cs.CR

Decompositions of graphs of functions and efficient iterations of lookup tables

classification 💻 cs.CC cs.CR
keywords implementedlookupsmallcomplexitycomputationalconstantdecompositionsefficient
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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.

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