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On the cell probe complexity of polynomial evaluation
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Miltersen, Peter Bro (1994) On the cell probe complexity of polynomial evaluation. University of Warwick. Department of Computer Science. (Department of Computer Science research report). (Unpublished)
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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 != ncr - TIME (o (log n/ log log n) ).
| Item Type: | Report | ||||
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| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
| Library of Congress Subject Headings (LCSH): | Polynomials | ||||
| Series Name: | Department of Computer Science research report | ||||
| Publisher: | University of Warwick. Department of Computer Science | ||||
| Official Date: | April 1994 | ||||
| Dates: |
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| Number: | Number 267 | ||||
| Number of Pages: | 8 | ||||
| DOI: | CS-RR-267 | ||||
| Institution: | University of Warwick | ||||
| Theses Department: | Department of Computer Science | ||||
| Status: | Not Peer Reviewed | ||||
| Publication Status: | Unpublished | ||||
| Reuse Statement (publisher, data, author rights): | P.B. Miltersen, “On the Cell Probe Complexity of Polynomial Evaluation”, <i>Theoretical Computer Science</i> <b>143</b>(1), pp. 167-174 (1995) | ||||
| Funder: | Forskningsrådet for Natur og Univers [Danish Science Research Council] (FNU), European Strategic Programme of Research and Development in Information Technology (ESPRIT) | ||||
| Grant number: | 7141 (ESPRIT) | ||||
| Version or Related Resource: | Miltersen, P.B. (1995). On the cell probe complexity of polynomial evaluation. Theoretical Computer Science, 143(1). pp. 167-174. | ||||
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