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20092023
most citedNew MRD codes from linear cutting blocking sets

9 citations · 101 across the 70 of their papers we have counts for

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Showing 2022Show all

7 papers · 1 filter

math.CO2022★ 1 cited

Exceptional scattered sequences

Daniele Bartoli, Giuseppe Marino, Alessandro Neri +1

The concept of scattered polynomials is generalized to those of exceptional scattered sequences which are shown to be the natural algebraic counterpart of -linear…

math.AG2022

Minimal codewords in Norm-Trace codes

Daniele Bartoli, Matteo Bonini, Marco Timpanella

In this paper, we consider the affine variety codes obtained evaluating the polynomials , , at the affine $\F_{q^r}$-rational po…

math.CO2022★ 9 cited

New MRD codes from linear cutting blocking sets

Daniele Bartoli, Giuseppe Marino, Alessandro Neri

Minimal rank-metric codes or, equivalently, linear cutting blocking sets are characterized in terms of the second generalized rank weight, via their connection with evasiveness pro…

cs.CR2022

Differential biases, -differential uniformity, and their relation to differential attacks

Daniele Bartoli, Lukas Kölsch, Giacomo Micheli

Differential cryptanalysis famously uses statistical biases in the propagation of differences in a block cipher to attack the cipher. In this paper, we investigate the existence of…

math.NT2022★ 2 cited

Towards the classification of exceptional scattered polynomials

Daniele Bartoli, Massimo Giulietti, Giovanni Zini

Scattered polynomials over finite fields attracted an increasing attention in the last years. One of the reasons is their deep connection with Maximum Rank Distance (MRD) codes. Kn…

math.CO2022

On the classification of low-degree ovoids of Q(4,q)

Daniele Bartoli, Nicola Durante

Ovoids of the non-degenerate quadric Q(4,q) of PG(4,q) have been studied since the end of the '80s. They are rare objects and, beside the classical example given by an elliptic qua…