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cs.IT2021
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…
cs.IT2021
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…
cs.IT2021
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…