Construction of bent functions of 2<i>k</i>variables from a basis of

Climent, Joan‐Josep; García, Francisco J.; Requena, Verónica

doi:10.1080/00207160.2012.669832

Cited by 4 publications

(1 citation statement)

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“…In addition to the constructions mentioned above, bent functions include several noteworthy classes (Li et al, 2013, Mesnager et al, 2021, with Climent et al (2012) contributing to this domain by developing a primary construction method for constructing bent functions that leverages a vector space basis. Secondary constructions, on the other hand, comprise techniques such as direct sum, Rothaus' construction, indirect sum, and their generalisations (Dillon, 1974).…”

Section: Introductionmentioning

confidence: 99%

An Algorithm for Constructing Support of Bent Functions by Extending a Set

Nelson,

Srinivasan,

Lakshmy

2023

Int. j. math. eng. manag. sci.

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Boolean functions form the fundamental components of symmetric cryptographic systems, serving as the building blocks. Modifying bent functions makes it feasible to design Boolean functions with desired properties that exhibit high non-linearity. The current study offers a comprehensive analysis of bent functions through its support, culminating in the introduction of an algorithm for the systematic construction of four variable bent functions. This algorithm enables the complete generation of all 896 four-variable bent functions. Furthermore, we introduce a methodology for constructing n-variable bent functions (where n > 4), leveraging both the algorithm and an established secondary technique for bent function construction. Lastly, we examine the estimation of the count of bent functions by utilising certain properties associated with the support of bent functions.

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Section: Introductionmentioning

confidence: 99%