95 citations · 407 across the 60 of their papers we have counts for
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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…
Convolutional codes over finite chain rings, MDP codes and their characterization
Gianira N. Alfarano, Anina Gruica, Julia Lieb +1
In this paper, we develop the theory of convolutional codes over finite commutative chain rings. In particular, we focus on maximum distance profile (MDP) convolutional codes and w…
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…
On Bounds for Ring-Based Coding Theory
Niklas Gassner, Marcus Greferath, Joachim Rosenthal +1
Coding Theory where the alphabet is identified with the elements of a ring or a module has become an important research topic over the last 30 years. Such codes over rings had impo…
A Deterministic Algorithm for the Discrete Logarithm Problem in a Semigroup
Simran Tinani, Joachim Rosenthal
The discrete logarithm problem in a finite group is the basis for many protocols in cryptography. The best general algorithms which solve this problem have time complexity of $\mat…