44 citations · 100 across the 48 of their papers we have counts for
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cs.IT2019
Rank-Metric Codes, Generalized Binomial Moments and their Zeta Functions
Eimear Byrne, Giuseppe Cotardo, Alberto Ravagnani
In this paper we introduce a new class of extremal codes, namely the -BMD codes. We show that for this family several of the invariants are determined by the parameters of the u…
math.CO2019★ 1 cited
Whitney Numbers of Combinatorial Geometries and Higher-Weight Dowling Lattices
Alberto Ravagnani
We study the Whitney numbers of the first kind of combinatorial geometries. The first part of the paper is devoted to general results relating the Möbius functions of nested atomis…
cs.IT2019
Tensor Representation of Rank-Metric Codes
Eimear Byrne, Alessandro Neri, Alberto Ravagnani +1
We present the theory of rank-metric codes with respect to the 3-tensors that generate them. We define the generator tensor and the parity check tensor of a matrix code, and descri…