19 citations · 155 across the 50 of their papers we have counts for
6 papers · 1 filter
Some hypersurfaces over finite fields, minimal codes and secret sharing schemes
Angela Aguglia, Michela Ceria, Luca Giuzzi
Linear error-correcting codes can be used for constructing secret sharing schemes; however finding in general the access structures of these secret sharing schemes and, in particul…
-linear rank distance codes and their distinguishers
Luca Giuzzi, Ferdinando Zullo
For any admissible value of the parameters there exist Maximum Rank distance (shortly MRD) -linear codes of . It has been shown in \cite…
Minimum distance of Symplectic Grassmann codes
Ilaria Cardinali, Luca Giuzzi
We introduce the Symplectic Grassmann codes as projective codes defined by symplectic Grassmannians, in analogy with the orthogonal Grassmann codes introduced in [4]. Note that the…
Enumerative Coding for Line Polar Grassmannians with applications to codes
Ilaria Cardinali, Luca Giuzzi
A -polar Grassmannian is the geometry having as pointset the set of all -dimensional subspaces of a vector space which are totally isotropic for a given non-degenerate bi…
LDPC codes from Singer cycles
L. Giuzzi, A. Sonnino
The main goal of coding theory is to devise efficient systems to exploit the full capacity of a communication channel, thus achieving an arbitrarily small error probability. Low De…
Construction of a 3-Dimensional MDS code
A. Aguglia, L. Giuzzi
In this paper, we describe a procedure for constructing --ary --MDS codes, of length (for odd) or (for even), using a set of non--dege…