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

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

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Tianbing Xia, University of Wollongong
Jennifer Seberry, University of Wollongong
J. Pieprzyk, Macquarie University
C. Charnes, University of Melbourne

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RIS ID

11099

Publication Date

1-6-2004

Publication Details

This article was originally published as Xia, T, Seberry, J, Pieprzyk, J and Charnes, C, Homogeneous bent functions of degree n in 2n variables do not exist for n > 3, Discrete Applied Mathematics, 142, 2004, 127-132. Original Elsevier journal available here.

Abstract

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.

Disciplines

Physical Sciences and Mathematics

Citation Information

Tianbing Xia, Jennifer Seberry, J. Pieprzyk and C. Charnes. "Homogeneous bent functions of degree n in 2n variables do not exist for n > 3" (2004)
Available at: http://works.bepress.com/jseberry/72/