Construction of bent functions of 2k variables from a basis of F22k
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| Title: | Construction of bent functions of 2k variables from a basis of F22k |
|---|---|
| Authors: | Climent, Joan-Josep | García García, Francisco Jesús | Requena Arévalo, Verónica |
| Research Group/s: | Grupo de Álgebra y Geometría (GAG) | Criptología y Seguridad Computacional |
| Center, Department or Service: | Universidad de Alicante. Departamento de Estadística e Investigación Operativa | Universidad de Alicante. Departamento de Métodos Cuantitativos y Teoría Económica |
| Keywords: | Boolean function | Bent function | Support of a Boolean function | Gauss-Jordan basis | Cryptography |
| Knowledge Area: | Álgebra | Fundamentos del Análisis Económico |
| Issue Date: | 22-Mar-2012 |
| Publisher: | Taylor & Francis |
| Citation: | International Journal of Computer Mathematics. 2012, 89(7): 863-880. doi:10.1080/00207160.2012.669832 |
| Abstract: | Starting with a basis of F22k, we define some sets in F22k that are the supports of bent functions of 2k variables. We also establish some results in order to count the number of bent functions we can construct, and we provide a complete classification of all bases of F22k (for k = 2) providing the same supports of bent functions. |
| Sponsor: | This work was partially supported by Spanish grants MTM2008-06674-C02-01 and MTM2011-24858 of the Ministerio de Ciencia e Innovación of the Gobierno de España and ACOMP/2010/039 and ACOMP/2011/005 of the Generalitat Valenciana. |
| URI: | http://hdl.handle.net/10045/34677 |
| ISSN: | 0020-7160 (Print) | 1029-0265 (Online) |
| DOI: | 10.1080/00207160.2012.669832 |
| Language: | eng |
| Type: | info:eu-repo/semantics/article |
| Peer Review: | si |
| Publisher version: | http://dx.doi.org/10.1080/00207160.2012.669832 |
| Appears in Collections: | INV - GAG - Artículos de Revistas INV - CSC - Artículos de Revistas |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
 2012_Climent_etal_IJCM.pdf | Versión revisada (acceso abierto) | 318,72 kB | Adobe PDF | Open Preview |
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