P-adic Extension of Projective Geometry based Low Density Parity Check Codes

Abstract

Today s Technology in data communication demands accurate ways of transmitting large amount of data over long distances. newlineEfficient ways of error detection and correction , have been developed newlineover the years to utilize the channel capacity maximum and ensure error-free transmission. In a particular application of error detection and correction in newlinenanoscale memories , while retrieving the data , results in a random burst type or errors. Though, RS codes servers the purpose of error control, the high complexity of hardware implementation poses a challenge. The immediate task lies in simplifying the decoding complexity for decoding the data with linear complexity rather than newlineRS code s non linear complexity when the code length grows. Poly adic (p-adic) extended Projective Geometry based Low Density Parity newlineCheck codes(PG-LDPC), not only offers simple complexity, provides flexibility of trading the performance and also offers a VLSI suitable implementation.