Tianbing Xia, Jennifer Seberry, Josef Pieprzyk, Chris Charnes  Home/Search
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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 3. (Update)
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BibTeX entry: (Update)
Tianbing Xia, J. Seberry, J.Pieprzyk, C. Charnes. Homogeneous bent functions of degree n in 2n variables do not exist for n > 3, Discrete Applied Mathematics. 142, 2004.127-132. http://citeseer.ist.psu.edu/xia04homogeneous.html More
@article{ xia04homogeneous,
author = "T. Xia and J. Seberry and J. Pieprzyk and C. Charnes",
title = "Homogeneous bent functions of degree $n$ in $2n$ variables do not exist for
$n \geq 3$",
journal = "Discrete Applied Mathematics",
volume = "142",
pages = "127--132",
year = "2004",
url = "citeseer.ist.psu.edu/xia04homogeneous.html" }
Citations (may not include all citations):241 Communication theory of secrecy systems (context) - Shannon - 1949
88 Journal of Combinatorial Theory (context) - Rothaus, bent - 1976
12 Two new classes of bent functions (context) - Carlet - 1993
12 Generalized bent functions and their properties (context) - Kumar, Scholtz et al. - 1985
8 Cubic bent functions (context) - Hou - 1998
3 Fast hashing and rotation-symmetric functions (context) - Pieprzyk, Qu - 1999
2 Some in nite classes of special Williamson matrices and di e.. (context) - Xia - 1992
1 Applied Discrete Mathematics { Special Coding Theory Collect.. (context) - Qu, Seberry et al. - 2000
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