The eight variable homogeneous degree three bent functions

C. Charnes; U. Dempwolff; J. Pieprzyk

doi:10.1016/j.jda.2006.08.004

The eight variable homogeneous degree three bent functions

C. Charnes^*, U. Dempwolff, J. Pieprzyk

^*Corresponding author for this work

School of Computing

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We determine the affine equivalence classes of the eight variable degree three homogeneous bent functions using a new algorithm. Our algorithm applies to general bent functions and can systematically determine the automorphism groups. We provide a partial verification of the enumeration of eight variable degree three homogeneous bent functions obtained by Meng et al. We determine the affine equivalence classes of these functions.

Original language	English
Pages (from-to)	66-72
Number of pages	7
Journal	Journal of Discrete Algorithms
Volume	6
Issue number	1
DOIs	https://doi.org/10.1016/j.jda.2006.08.004
Publication status	Published - Mar 2008

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10.1016/j.jda.2006.08.004

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title = "The eight variable homogeneous degree three bent functions",

abstract = "We determine the affine equivalence classes of the eight variable degree three homogeneous bent functions using a new algorithm. Our algorithm applies to general bent functions and can systematically determine the automorphism groups. We provide a partial verification of the enumeration of eight variable degree three homogeneous bent functions obtained by Meng et al. We determine the affine equivalence classes of these functions.",

author = "C. Charnes and U. Dempwolff and J. Pieprzyk",

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AU - Charnes, C.

AU - Dempwolff, U.

AU - Pieprzyk, J.

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AB - We determine the affine equivalence classes of the eight variable degree three homogeneous bent functions using a new algorithm. Our algorithm applies to general bent functions and can systematically determine the automorphism groups. We provide a partial verification of the enumeration of eight variable degree three homogeneous bent functions obtained by Meng et al. We determine the affine equivalence classes of these functions.

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DO - 10.1016/j.jda.2006.08.004

M3 - Article

AN - SCOPUS:39149123520

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VL - 6

SP - 66

EP - 72

JO - Journal of Discrete Algorithms

JF - Journal of Discrete Algorithms

IS - 1

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The eight variable homogeneous degree three bent functions

Abstract

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