Kirkman systems and their application in perpendicular magnetic recording

A novel class of a very high-rate low-density parity check codes is introduced, and investigated in the context of its application in a perpendicular magnetic recording system. New codes are well structured and, unlike random codes, can lead to a very low-complexity implementation. A systematic way of constructing codes is based on Kirkman systems. A hardware efficient encoding algorithm is proposed. The bit-error-rate characteristics are characterized by simulation of the soft iterative decoding in perpendicular magnetic read channel with different partial response targets and types of noise.