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Quadratic bent functions and their duals
We obtain geometric characterizations of the dual functions for quadratic bent and vectorial bent functions in terms of quadrics. Additionally, using...
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New Classes of Bent Functions via the Switching Method
The switching method is a powerful method to construct bent functions. In this paper, using this method, we present two generic constructions of...
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Decomposing self-dual bent functions
Bent functions are Boolean functions in even number of variables that have maximal nonlinearity. They have flat Walsh–Hadamard spectrum and are of...
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Explicit infinite families of bent functions outside the completed Maiorana–McFarland class
During the last five decades, many different secondary constructions of bent functions were proposed in the literature. Nevertheless, apart from a...
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Look into the Mirror: Evolving Self-dual Bent Boolean Functions
Bent Boolean functions are important objects in cryptography and coding theory, and there are several general approaches for constructing such...
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Constructing new superclasses of bent functions from known ones
Some recent research articles (Zhang et al. in Lecture Notes in Computer Science, 10194, 298-313. (
2017 ), Zhang et al. in Discret. Appl. Math.... -
Several secondary methods for constructing bent–negabent functions
In this paper, we present three secondary methods for constructing bent–negabent functions under the frameworks of the indirect sum construction...
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Ternary self-orthogonal codes from weakly regular bent functions and their application in LCD Codes
Self-orthogonal codes are linear codes such that they are contained in their duals. Self-orthogonal codes have attracted much attention due to their...
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A survey on p-ary and generalized bent functions
Boolean bent functions have been introduced by Rothaus in 1966, bent functions in odd characteristic were first considered in 1985 by Kumar, Scholtz,...
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Several classes of new weakly regular bent functions outside \(\mathcal{R}\mathcal{F}\), their duals and some related (minimal) codes with few weights
Boosted by cryptography and coding theory applications and rich connections to objects from geometry and combinatorics, bent functions and related...
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Further projective binary linear codes derived from two-to-one functions and their duals
Binary linear codes with few weights have wide applications in communication, secret sharing schemes, authentication codes, association schemes,...
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Equivalence classes of Niho bent functions
Equivalence classes of Niho bent functions are in one-to-one correspondence with equivalence classes of ovals in a projective plane. Since a...
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Vectorial bent functions and partial difference sets
The objective of this article is to broaden the understanding of the connections between bent functions and partial difference sets. Recently, the...
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Bent partitions
Spread and partial spread constructions are the most powerful bent function constructions. A large variety of bent functions from a 2 m -dimensional...
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Further Results on Bent–Negabent Boolean Functions
Bent functions are optimal combinatorial objects having a lot of applications, in particular, in cryptography. Since their introduction, substantial...
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Vectorial bent functions in odd characteristic and their components
Bent functions in odd characteristic can be either (weakly) regular or non-weakly regular. Furthermore one can distinguish between dual-bent...