Index generation functions based on linear and polynomial transformations
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review
Details
| Original language | English |
|---|---|
| Title of host publication | 2016 IEEE 46th International Symposium on Multiple-Valued Logic, ISMVL 2016 |
| Publisher | IEEE COMPUTER SOCIETY PRESS |
| Pages | 102-106 |
| Number of pages | 5 |
| ISBN (Electronic) | 9781467394888 |
| DOIs | |
| Publication status | Published - 18 Jul 2016 |
| Publication type | A4 Article in a conference publication |
| Event | IEEE INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC - Duration: 1 Jan 1900 → … |
Publication series
| Name | |
|---|---|
| ISSN (Electronic) | 2378-2226 |
Conference
| Conference | IEEE INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC |
|---|---|
| Period | 1/01/00 → … |
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