12 citations · 12 across the 10 of their papers we have counts for
6 papers · 1 filter
A distance-free approach to generalized weights
Andrea Di Giusto, Elisa Gorla, Alberto Ravagnani
We propose a unified theory of generalized weights for linear codes endowed with an arbitrary distance. Instead of relying on supports or anticodes, the weights of a code are defin…
The asymptotic number of equivalence classes of linear codes with given dimension
Andrea Di Giusto, Alberto Ravagnani
We investigate the asymptotic number of equivalence classes of linear codes with prescribed length and dimension. While the total number of inequivalent codes of a given length has…
The Random Variables of the DNA Coverage Depth Problem
Şeyma Bodur, Stefano Lia, Hiram H. López +3
DNA data storage systems encode digital data into DNA strands, enabling dense and durable storage. Efficient data retrieval depends on coverage depth, a key performance metric. We…
The Coverage Depth Problem in DNA Storage Over Small Alphabets
Matteo Bertuzzo, Alberto Ravagnani, Eitan Yaakobi
The coverage depth problem in DNA data storage is about minimizing the expected number of reads until all data is recovered. When they exist, MDS codes offer the best performance i…
Equivalence of Serial and Parallel A-Posteriori Probabilities in the Decoding of DAB Systems
Andrea Di Giusto, Wim van Houtum, Alberto Ravagnani +1
Motivated by applications to digital audio broadcasting (DAB) systems, we study the a-posteriori probabilities (APPs) of the coded and information bits of the serial concatenation…
Bounds and Codes for General Phased Burst Errors
Sebastian Bitzer, Andrea Di Giusto, Alberto Ravagnani +1
Phased burst errors (PBEs) are bursts of errors occurring at one or more known locations. The correction of PBEs is a classical topic in coding theory, with prominent applications…