Homogeneous bent functions of degree n in 2n variables do not exist for n>3

Xia, Tianbing, Seberry, Jennifer, Pieprzyk, Josef, & Charnes, Chris (2004) Homogeneous bent functions of degree n in 2n variables do not exist for n>3. Discrete Applied Mathematics, 142(1-3), pp. 127-132.

View at publisher


We prove that homogeneous bent functions f:GF(2)^2n --> GF(2) of degree n do not exist for n>3. Consequently homogeneous bent functions must have degree <n for n>3.

Impact and interest:

16 citations in Scopus
Search Google Scholar™
11 citations in Web of Science®

Citation counts are sourced monthly from Scopus and Web of Science® citation databases.

These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.

Citations counts from the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.

ID Code: 73457
Item Type: Journal Article
Refereed: Yes
Keywords: Bent; Homogeneous; Difference sets
DOI: 10.1016/j.dam.2004.02.006
ISSN: 0166-218X
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 07 Jul 2014 23:20
Last Modified: 15 Jul 2014 03:43

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page