DETERMINING ELEMENTS OF BASE MATRICES FOR QUASI-CYCLIC LDPC CODES HAVING VARIABLE CODE LENGTHS

摘要

Encoding/decoding method comprising the derivation of the elements of base matrices for Quasi-Cyclic LDPC, codes using different lifting sizes to obtain variable code lengths. The cyclic shift values of smaller lifting sizes Z are derived from stored elements a base matrix corresponding to a maximal lifting sizes Zmax by applying right shifting (ceil(log2Z/Zmax) times) to a binary vector representation of all non- negative stored elements of the base matrix corresponding to Zmax. The right shifting operation may be applied only when the stored cyclic shift value corresponding to Zmax is larger than the smaller lifting size Z. Application to an encoder/decoder within a wireless communications network, a magnetic storage system or a solid-state drive system.