Structural Analysis of Generalized Quasi-Cyclic LDPC Codes: Rank, Design and Generator Matrices
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2025.3625539
Abstract: Generalized low-density parity-check (GLDPC) codes, where single parity-check constraints on the code bits are replaced with generalized constraints (an arbitrary linear code), are a promising class of codes for low-latency communication. The block error rate… read more here.
Keywords: generator matrices; code; quasi cyclic; parity check ... See more keywords
MacWilliams Identities and Generator Matrices for Linear Codes over ℤp4[u]/(u2 - p3β, pu)
Sign Up to like & getrecommendations! Published in 2024 at "Axioms"
DOI: 10.3390/axioms13080552
Abstract: Suppose that R=Zp4[u] with u2=p3β and pu=0, where p is a prime and β is a unit in R. Then, R is a local non-chain ring of order p5 with a unique maximal ideal J=(p,u)… read more here.
Keywords: linear codes; identities generator; generator matrices; macwilliams identities ... See more keywords