Bounds on the Pseudo-Weight of Minimal Pseudo-Codewords of Projective Geometry Codes
Roxana Smarandache, Marcel Wauer
Abstract
In this paper we focus our attention on a family of finite geometry codes, called type-I projective geometry low-density parity-check (PG-LDPC) codes, that are constructed based on the projective planes PG2,q). In particular, we study their minimal codewords and pseudo-codewords, as it is known that these vectors characterize completely the code performance under maximum-likelihood decoding and linear programming decoding, respectively. The main results of this paper consist of upper and lower bounds on the pseudo-weight of the minimal pseudo-codewords of type-I PG-LDPC codes.
Create a lesson
Related papers
Galois Hulls of Generalized Roth-Lempel Codes and Their Applications to EAQECCs
Xuefei Wu, Qi Liu, Yingchun Chen et al.
Maximum Entropy Probability Distributions on Spheres with Fixed Mean Busemann Function and Holomorphic-Information-Geometric Model of Cognition
Vladimir Jacimovic
Norm-One Torus Decompositions and Decoding of Gashkov-Sidel'nikov Codes
Minjia Shi, Shitao Li, Yuhong Xia et al.
A Mirror Vanishing Band for Weight Distributions of Binary Linear Codes
Xianmang He
Tri-Hybrid Beamforming Design for Large-Scale MIMO ISAC Systems
Tianyu Fang, Mengyuan Ma, Markku Juntti et al.
Equivalence Between Nested Gibbs Measures and Log-Linear Combinations of Gibbs Measures
Yaiza Bermudez, Samir M. Perlaza, Iñaki Esnaola