5 papers
List-based Optimization of Proximal Decoding for LDPC Codes
Andreas Tsouchlos, Holger Jäkel, Laurent Schmalen
In this paper, the proximal decoding algorithm is considered within the context of additive white Gaussian noise (AWGN) channels. An analysis of the convergence behavior of the alg…
Improved Generalized Automorphism Belief Propagation Decoding
Jonathan Mandelbaum, Sisi Miao, Nils Albert Schwendemann +2
With the increasing demands on future wireless systems, new design objectives become eminent. Low-density parity-check codes together with belief propagation (BP) decoding have out…
Performance Analysis of Generalized Product Codes with Irregular Degree Distribution
Sisi Miao, Jonathan Mandelbaum, Lukas Rapp +2
This paper investigates the theoretical analysis of intrinsic message passing decoding for generalized product codes (GPCs) with irregular degree distributions, a generalization of…
A Joint Code and Belief Propagation Decoder Design for Quantum LDPC Codes
Sisi Miao, Jonathan Mandelbaum, Holger Jäkel +1
Quantum low-density parity-check (QLDPC) codes are among the most promising candidates for future quantum error correction schemes. However, a limited number of short to moderate-l…
Endomorphisms of Linear Block Codes
Jonathan Mandelbaum, Sisi Miao, Holger Jäkel +1
The automorphism groups of various linear codes are extensively studied yielding insights into the respective code structure. This knowledge is used in, e.g., theoretical analysis…