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cs.IT2026
Constructions of Rank-Metric Codes of Small Tensor Rank
Matteo Bonini, Eimear Byrne, Giuseppe Cotardo
Rank-metric codes are subspaces of matrices over finite fields endowed with the rank metric and admit a natural tensorial representation. The tensor rank provides a measure of the…
math.CO2026
Symmetric Tensor Decompositions over Finite Fields
Giuseppe Cotardo, Ferdinando Zullo
We study the symmetric tensor rank of multiplication over finite field extensions using linearized polynomials. Via field trace, symmetric linearized polynomials are identified wit…
cs.IT2026
Weak Composition Lattices and Ring-Linear Anticodes
Jessica Bariffi, Drisana Bhatia, Giuseppe Cotardo +1
Lattices and partially ordered sets have played an increasingly important role in coding theory, providing combinatorial frameworks for studying structural and algebraic properties…