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- W4386075135 abstract "Bent functions have flat absolute Walsh-Hadamard spectra and negabent functions have flat absolute nega-Hadamard spectra. Those properties are wide applications in cryptography for constructing cryptographically strong functions and error correcting codes for better performance. In this paper, we present a new construction of quadratic and cubic negabent functions over finite fields. Those functions can be represented as the sum of the three components: one is the trace function of the monomial term λx <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>3</sup> or it multiplying by the trace function of x; the second, the sum of all the quadratic monomial functions except for one; and the third, the product of two linear functions where the parameter λ and variable x belong to an arbitrary binary finite field of 2 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</sup> elements for n odd." @default.
- W4386075135 created "2023-08-23" @default.
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- W4386075135 date "2023-06-25" @default.
- W4386075135 modified "2023-09-27" @default.
- W4386075135 title "Constructing Quadratic and Cubic Negabent Functions over Finite Fields" @default.
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- W4386075135 doi "https://doi.org/10.1109/isit54713.2023.10206458" @default.
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