6 papers
Quantum CSS LDPC Codes based on Dyadic Matrices for Belief Propagation-based Decoding
Alessio Baldelli, Massimo Battaglioni, Jonathan Mandelbaum +2
Quantum low-density parity-check (QLDPC) codes provide a practical balance between error-correction capability and implementation complexity in quantum error correction (QEC). In t…
On the Error Rate of Binary BCH Codes under Error-and-erasure Decoding
Sisi Miao, Jonathan Mandelbaum, Holger Jäkel +1
Determining the exact decoding error probability of linear block codes is an interesting problem. For binary BCH codes, McEliece derived methods to estimate the error probability o…
Subcode Ensemble Decoding of Polar Codes
Henning Lulei, Jonathan Mandelbaum, Marvin Rübenacke +3
In the short block length regime, pre-transformed polar codes together with successive cancellation list (SCL) decoding possess excellent error correction capabilities. However, in…
Subcode Ensemble Decoding of Linear Block Codes
Jonathan Mandelbaum, Holger Jäkel, Laurent Schmalen
Low-density parity-check (LDPC) codes together with belief propagation (BP) decoding yield exceptional error correction capabilities in the large block length regime. Yet, there re…
Removal of Small Weight Stopping Sets for Asynchronous Unsourced Multiple Access
Frederik Ritter, Jonathan Mandelbaum, Alexander Fengler +2
In this paper, we analyze the formation of small stopping sets in joint factor graphs describing a frame-asynchronous two-user transmission. Furthermore, we propose an algorithm to…
Spiking Neural Belief Propagation Decoder for LDPC Codes with Small Variable Node Degrees
Alexander von Bank, Eike-Manuel Edelmann, Jonathan Mandelbaum +1
Spiking neural networks (SNNs) promise energy-efficient data processing by imitating the event-based behavior of biological neurons. In previous work, we introduced the enlarge-lik…