G. Marino

activity

20062023

most citedA characterization of linearized polynomials with maximum kernel

41 citations · 167 across the 23 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

math.CO2018★ 24 cited

MRD codes with maximum idealizers

Bence Csajbók, Giuseppe Marino, Olga Polverino +1

Left and right idealizers are important invariants of linear rank-distance codes. In the case of maximum rank-distance (MRD for short) codes in $F_{q}^{n \times n}$ the ideal…

math.CO2018★ 41 cited

A characterization of linearized polynomials with maximum kernel

Bence Csajbók, Giuseppe Marino, Olga Polverino +1

We provide sufficient and necessary conditions for the coefficients of a $q$ -polynomial $f$ over $F_{q^{n}}$ which ensure that the number of distinct roots of $f$ in $\mathb…

math.CO2018★ 20 cited

A Carlitz type result for linearized polynomials

Bence Csajbók, Giuseppe Marino, Olga Polverino

For an arbitrary $q$ -polynomial $f$ over $F_{q^{n}}$ we study the problem of finding those $q$ -polynomials $g$ over $F_{q^{n}}$ for which the image sets of $f (x) / x$ a…