Tampere University of Technology

TUTCRIS Research Portal

Index generation functions based on linear and polynomial transformations

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

Details

Original languageEnglish
Title of host publication2016 IEEE 46th International Symposium on Multiple-Valued Logic, ISMVL 2016
PublisherIEEE COMPUTER SOCIETY PRESS
Pages102-106
Number of pages5
ISBN (Electronic)9781467394888
DOIs
Publication statusPublished - 18 Jul 2016
Publication typeA4 Article in a conference publication
EventIEEE INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC -
Duration: 1 Jan 1900 → …

Publication series

Name
ISSN (Electronic)2378-2226

Conference

ConferenceIEEE INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC
Period1/01/00 → …

Abstract

Index generation functions are a particular class ofswitching (Boolean or multiple-valued) functions that have some important applications in communication, data retrieval and processing, and related areas. For these applications, determining compact representations of index generation functions is an important task. An approach towards this is to perform a linear transformation to reduce the number of required variables, but finding an optimal transformation can be difficult. In this paper, we propose non-linear transformations to reduce the number of variables, and formulate the problem of finding a good linear transformation using linear subspaces. Extendingthe set of initial variables by products of variables makes iteasier to find a compact representation as the number of suitable transformations becomes larger.

ASJC Scopus subject areas

Keywords

  • index generation functions, linear spaces, linear transformation, polynomial transformation

Publication forum classification

Field of science, Statistics Finland