10 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…
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…
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,…
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…
Better bounds on the minimal Lee distance
Jessica Bariffi, Violetta Weger
This paper provides new and improved Singleton-like bounds for Lee metric codes over integer residue rings. We derive the bounds using various novel definitions of generalized Lee…
Information Set Decoding for Lee-Metric Codes using Restricted Balls
Jessica Bariffi, Karan Khathuria, Violetta Weger
The Lee metric syndrome decoding problem is an NP-hard problem and several generic decoders have been proposed. The observation that such decoders come with a larger cost than thei…
On the Properties of Error Patterns in the Constant Lee Weight Channel
Jessica Bariffi, Hannes Bartz, Gianluigi Liva +1
The problem of scalar multiplication applied to vectors is considered in the Lee metric. Unlike in other metrics, the Lee weight of a vector may be increased or decreased by the pr…
Analysis of Low-Density Parity-Check Codes over Finite Integer Rings for the Lee Channel
Jessica Bariffi, Hannes Bartz, Gianluigi Liva +1
We study the performance of nonbinary low-density parity-check (LDPC) codes over finite integer rings over two channels that arise from the Lee metric. The first channel is a discr…
Moderate Density Parity-Check Codes from Projective Bundles
Jessica Bariffi, Sam Mattheus, Alessandro Neri +1
A new construction for moderate density parity-check (MDPC) codes using finite geometry is proposed. We design a parity-check matrix for this family of binary codes as the concaten…