Treffer: The computational complexity of universal hashing

Title:
The computational complexity of universal hashing
Source:
Structure in complexity theoryTheoretical computer science. 107(1):121-133
Publisher Information:
Amsterdam: Elsevier, 1993.
Publication Year:
1993
Physical Description:
print, 25 ref
Original Material:
INIST-CNRS
Document Type:
Fachzeitschrift Article
File Description:
text
Language:
English
Author Affiliations:
MIT, lab. computer sci., Cambridge MA 02139, United States
ISSN:
0304-3975
Rights:
Copyright 1993 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Accession Number:
edscal.4518484
Database:
PASCAL Archive

Weitere Informationen

Any implementation of Carter-Wegman universal hashing from n-bit strings to m-bit strings requires a time-space tradeoff of TS=Ω(nm). The bound holds in tale general boolean branching program model and, talus, in essentially any model of computation. As a corollary, computing a+b*c in any field F requires a quadratic time-space tradeoff, and tale bound holds for any representation of tale elements of tale field. Other lower bounds on tale complexity of any implementation of universal hashing are given as well: quadratic AT2 bound for VLSI implementation; Ω(log n) parallel time bound on a CREW PRAM; and exponential size for constant-depth circuits.