5 papers
Scientific Rigor and Human Warmth: Remembering Vladimir Sidorenko (1949-2025)
Christian Deppe, Haider Al Kim, Jessica Bariffi +4
During the Foundations of Future Communication Systems (FFCS) conference in Braunschweig, a dedicated memorial session was held in honor of Dr. Vladimir (Volodya) Sidorenko (1949-2…
Coarsest Fourier-reflexive Partitions for the Lee, Homogeneous and Subfield Metric
Jessica Bariffi, Giulia Cavicchioni, Violetta Weger
MacWilliams identities relate the weight enumerators of a code with those of its dual and are classically formulated with respect to the Hamming weight. For other metrics, however,…
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…
Bounds on Sphere Sizes in the Sum-Rank Metric and Coordinate-Additive Metrics
Hugo Beeloo-Sauerbier Couvée, Thomas Jerkovits, Jessica Bariffi
This paper provides new bounds on the size of spheres in any coordinate-additive metric with a particular focus on improving existing bounds in the sum-rank metric. We derive impro…
Error-Correction Performance of Regular Ring-Linear LDPC Codes over Lee Channels
Jessica Bariffi, Hannes Bartz, Gianluigi Liva +1
Most low-density parity-check (LDPC) code constructions are considered over finite fields. In this work, we focus on regular LDPC codes over integer residue rings and analyze their…