A construction for girth‐8 QC‐LDPC codes using Golomb rulers

• Published in: Electronics letters Vol. 58; no. 15; pp. 582 - 584
• Main Authors: Kim, Inseon, Song, Hong‐Yeop
• Format: Journal Article
• Language: English
• Published: Stevenage John Wiley & Sons, Inc 01.07.2022; Wiley
• Subjects: Codes; Coding theory; Construction; Error correcting codes; Guarantees; Low density parity check codes; Mathematical tables; Multiplication; Parity

In this paper, an algebraic construction of regular QC‐LDPC codes by using the modular multiplication table mod P and Golomb rulers are proposed. It is proved that the proposed QC‐LDPC codes based on a Golomb ruler of length L have girth at least 8 if P>2L$P>2L$. The error performance of the p...