67 citations · 110 across the 23 of their papers we have counts for
15 papers · 1 filter
Tensor Codes and their Invariants
Eimear Byrne, Giuseppe Cotardo
In 1991, Roth introduced a natural generalization of rank metric codes, namely tensor codes. The latter are defined to be subspaces of -tensors where the ambient space is endowe…
Bounds in the Lee Metric and Optimal Codes
Eimear Byrne, Violetta Weger
In this paper we investigate known Singleton-like bounds in the Lee metric and characterize optimal codes, which turn out to be very few. We then focus on Plotkin-like bounds in th…
Density of Free Modules over Finite Chain Rings
Eimear Byrne, Anna-Lena Horlemann, Karan Khathuria +1
In this paper we focus on modules over a finite chain ring of size . We compute the density of free modules of , where we separately treat the asy…
Bilinear Complexity of 3-Tensors Linked to Coding Theory
Eimear Byrne, Giuseppe Cotardo
A well studied problem in algebraic complexity theory is the determination of the complexity of problems relying on evaluations of bilinear maps. One measure of the complexity of a…
Fundamental Properties of Sum-Rank Metric Codes
Eimear Byrne, Heide Gluesing-Luerssen, Alberto Ravagnani
This paper investigates the theory of sum-rank metric codes for which the individual matrix blocks may have different sizes. Various bounds on the cardinality of a code are derived…
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…