Welcome to the resource topic for 2009/544
Title:
Connections between Quaternary and Binary Bent Functions
Authors: Patrick Solé, Natalia Tokareva
Abstract:Boolean bent functions were introduced by Rothaus (1976) as combinatorial objects related to difference sets, and have since enjoyed a great popularity in symmetric cryptography and low correlation sequence design. In this paper direct links between Boolean bent functions, generalized Boolean bent functions (Schmidt, 2006) and quaternary bent functions (Kumar, Scholtz, Welch, 1985) are explored. We also study Gray images of bent functions and notions of generalized nonlinearity for functions that are relevant to generalized linear cryptanalysis.
ePrint: https://eprint.iacr.org/2009/544
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