access icon free Research on highly non-linear plateaued functions

Here, the authors correct the proof in the reference when explaining that the produced plateaued functions have no non-zero linear structures. Moreover, a new class of plateaued functions with the best algebraic degree is given.

Inspec keywords: nonlinear functions; algebra; Boolean functions

Other keywords: nonlinear plateaued functions; nonzero linear structures; algebraic degree

Subjects: Mathematical analysis; Algebra, set theory, and graph theory; Function theory, analysis; Algebra; Algebra; Mathematical analysis; Algebra

References

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Highly nonlinear plateaued functions