Erasures recoverability analysis for SPC product codes

Single parity check (SPC) product codes are simple yet powerful codes that are used to correct errors and/or recover erasures. The focus of this paper is to evaluate the performance of such codes under erasure scenarios and to develop a tight upper bound for the post-decoding erasure rate. Closed form exact expressions are derived for up to seven erasures. The derived expressions are verified using exhaustive search. A bound is used to account for eight erasures and above. The developed expressions improve the evaluation of the recoverability of SPC product codes without the need for simulation or exhaustive search.