NDLI: Multiattribute hashing using Gray codes

Content Provider	ACM Digital Library
Author	Faloutsos, Christos
Abstract	Multiattribute hashing and its variations have been proposed for partial match and range queries in the past. The main idea is that each record yields a bitstring @@@@ (“record signature”), according to the values of its attributes. The binary value (@@@@)2 of this string decides the bucket that the record is stored. In this paper we propose to use Gray codes instead of binary codes, in order to map record signatures to buckets. In Gray codes, successive codewords differ in the value of exactly one bit position, thus, successive buckets hold records with similar record signatures. The proposed method achieves better clustering of similar records and avoids some of the (expensive) random disk accesses, replacing them with sequential ones. We develop a mathematical model, derive formulas giving the average performance of both methods and show that the proposed method achieves 0% - 50% relative savings over the binary codes. We also discuss how Gray codes could be applied to some retrieval methods designed for range queries, such as the grid file [Nievergelt84a] and the approach based on the so-called z-ordering [Orenstein84a].
Starting Page	227
Ending Page	238
Page Count	12
File Format	PDF
ISSN	01635808
DOI	10.1145/16856.16877
Journal	ACM SIGMOD Record (SGMD)
Volume Number	15
Issue Number	2
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1999-06-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Information Systems Software

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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