Analysing the performance of SPC product codes under the BEC
Sara D. Cardell, Joan‐Josep Climent · 2014
The SPC product code is a very popular error correction code. It has four as minimum distance. Over the erasure channel, it is supposed to correct up to 3 erasures. However, this code can correct a higher number of erasures under certain conditions. A codeword of the SPC product code can be represented by an erasure pattern where the only information we consider is the position of the erasures. In this work we count the number of strict uncorrectable erasure patterns for a given size with a xed number of erasures using Kotska numbers.