¥ The Chapter 1 provides a brief introduction of error detection and correction in the context of Nanoscale memories with PG LDPC Codes, problem definition, objectives, methodology .The Literature survey on LDPC codes, PG LDPC codes, Majority logic decoding, p-adic concept , Reed Soloman codes, complexity analysis of RS codes, Perfect difference Networks helps the research scholar to understand the trends in this domain to perceive research.
¥ The Chapter 2 describes the LDPC codes, the encoding of LDPC codes and various decoding algorithms.
¥ The Chapter 3 focuses on the Projective Geometry. Concepts of points and lines to construct Tanner Graph on the lines of check nodes and variable nodes of LDPC codes.
¥ Chapter 4 Describes procedure to construct 2-dimensional projective space over GF(2t) where t>0. Construction of Generator polynomial, Generator matrix and H-matrix for the PG LDPC codes. The working of algorithm 2DPG and its output is listed.