PROJECT TITLE :

On the MDS Condition of Blaum–Bruck–Vardy Codes With Large Number Parity Columns

ABSTRACT:

Binary maximum distance separable (MDS) array codes are widely employed in storage systems. EVENODD code and row-diagonal parity (RDP) code are 2 well-known binary MDS array codes with two parity columns. The Blaum–Bruck–Vardy (BBV) code is an extension of the double-erasure-correcting EVENODD code. It is known that the BBV code is always MDS for 3 parity columns, and sufficient conditions for up to eight parity columns to be MDS are also known. But, the MDS condition for additional than eight parity columns is an open problem since then. In this letter, we study the MDS condition of BBV code and provide a sufficient MDS condition of the BBV code with a lot of than eight parity columns.