Five Times Extended Reed-Solomon Codes Applicable in Memory Storage Systems

摘要

In this letter it is proved that five times extended Reed-Solomon codes contain an infinite subset of almost MDS codes with parameters: $[(q-1)+5,(q-1),5]_{GF(2^m)}$[(q-1)+5,(q-1),5]GF(2m) which are defined over a finite field $GF(2^m)$GF(2m) where $mgeq