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On the cell probe complexity of polynomial evaluation
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Miltersen, Peter Bro (1995) On the cell probe complexity of polynomial evaluation. Theoretical Computer Science, Volume 143 (Number 1). pp. 167-174. doi:10.1016/0304-3975(95)80032-5
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Official URL: http://dx.doi.org/10.1038/nutd.2014.3110.1016/0304...
Abstract
We consider the cell probe complexity of the polynomial evaluation problem with preprocessing of coefficients, for polynomials of degree at most n over a finite field K. We show that the trivial cell probe algorithm for the problem is optimal if K is sufficiently large compared to n. As an application, we give a new proof of the fact that P not equal incr-TIME (o(log n/log log n)).
Item Type: | Journal Item | ||||
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Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
Journal or Publication Title: | Theoretical Computer Science | ||||
Publisher: | Elsevier Science BV | ||||
ISSN: | 0304-3975 | ||||
Official Date: | 10 July 1995 | ||||
Dates: |
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Volume: | Volume 143 | ||||
Number: | Number 1 | ||||
Number of Pages: | 8 | ||||
Page Range: | pp. 167-174 | ||||
DOI: | 10.1016/0304-3975(95)80032-5 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Version or Related Resource: | Miltersen, P.B. (1994). On the cell probe complexity of polynomial evaluation. University of Warwick. Department of Computer Science. (Department of Computer Science research report, 267). | ||||
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