Publications (2021-present)

For previous publications see Archive.

Constructions of (vectorial) bent functions outside the completed Maiorana–McFarland class
Two new classes of bent functions derived from the Maiorana–McFarland ($\mathcal{M}$) class, so-called $\mathcal{C}$ and $\mathcal{D}$, …
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Minimal binary linear codes : a general framework based on bent concatenation
Minimal codes are characterized by the property that none of the codewords is covered by some other linearly independent codeword. We …
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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. …
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Two secondary constructions of bent functions without initial conditions
In this article, we propose two secondary constructions of bent functions without any conditions on initial bent functions employed by …
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Three classes of balanced vectorial semi-bent functions
Semi-bent functions play an important role in symmetric ciphers and sequence designs. So far, there are few studies related to the …
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Integral Distinguishers of the Full-Round Lightweight Block Cipher SAT_Jo
Integral cryptanalysis based on division property is a powerful cryptanalytic method whose range of successful applications was …
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Permutations without linear structures inducing bent functions outside the completed Maiorana-McFarland class
Recently, the construction of bent functions that belong to the so-called $\mathcal{C}$ class and are provably outside the completed …
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A new method for secondary constructions of vectorial bent functions
In 2017, Tang et al. have introduced a generic construction for bent functions of the form $f(x)=g(x)+h(x)$, where $g$ is a bent …
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Constructions of balanced Boolean functions on even number of variables with maximum absolute value in autocorrelation spectra $<2^{{n/2}^{\star}}$
The autocorrelation properties of Boolean functions are closely related to the Shannon’s concept of diffusion and can be accompanied …
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Infinite classes of generalised complete permutations
In Pasalic et al. (2016) a construction allowing for high levels of modification was presented. It can be used to construct several …
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Vectorial bent functions weakly/strongly outside the completed Maiorana–McFarland class
Two new classes of bent functions derived from the Maiorana–McFarland ($\mathcal{M}$) class, so-called $\mathcal{C}$ and $\mathcal{D}$, …
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Several classes of minimal binary linear codes violating the Ashikhmin-Barg bound
Minimal binary linear codes are a special class of binary codes with important applications in secret sharing and secure two-party …
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Wide minimal binary linear codes from the general Maiorana–McFarland class
Minimal linear codes form a special class of linear codes that have important applications in secret sharing and secure two-party …
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Characterization of Basic 5-Value Spectrum Functions Through Walsh-Hadamard Transform
The first and the third authors recently introduced a spectral construction of plateaued and of 5-value spectrum functions. In …
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Proving the conjecture of O’Donnell in certain cases and disproving its general validity
For a function $f:\{−1,1\}^n\to \{−1,1\}$ the relationship between the sum of its linear Fourier coefficients $\hat{f}(i)$ (defined by …
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