Strongly regular generalized partial geometries and associated LDPC codes
Combinatorics
2025-03-19 v1
Abstract
In this paper, we introduce strongly regular generalized partial geometries of grade , which generalise partial geometries and strongly regular -geometries. By the properties of quadrics in PG and PG, we construct two classes of strongly regular generalized partial geometries of grade . Besides, we define low-density parity-check (LDPC) codes by considering the combinatorial structures of strongly regular generalized partial geometries and derive bounds on minimum distance, dimension and girth for the LDPC codes.
Keywords
Cite
@article{arxiv.2503.14058,
title = {Strongly regular generalized partial geometries and associated LDPC codes},
author = {Lijun Ma and Changli Ma and Zihong Tian},
journal= {arXiv preprint arXiv:2503.14058},
year = {2025}
}