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cs.IT2022
Non-minimum tensor rank Gabidulin codes
Daniele Bartoli, Giovanni Zini, Ferdinando Zullo
The tensor rank of some Gabidulin codes of small dimension is investigated. In particular, we determine the tensor rank of any rank metric code equivalent to an -dimensional $\m…
cs.IT2021
Linear maximum rank distance codes of exceptional type
Daniele Bartoli, Giovanni Zini, Ferdinando Zullo
Scattered polynomials of a given index over finite fields are intriguing rare objects with many connections within mathematics. Of particular interest are the exceptional ones, as…
cs.IT2017
AG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curves
Maria Montanucci, Marco Timpanella, Giovanni Zini
We investigate several types of linear codes constructed from two families and of maximal curves over finite fields recently construct…