PB: A Product-Bitmatrix Construction to Reduce the Complexity of XOR Operations of PM-MSR and PM-MBR Codes over

Table 3

Multiplication over while is an irreducible polynomial.

		0	1	x
		000	001	010	011	100	101	110	111
0	000	0	0	0	0	0	0	0	0
1	001	0	1	x
x	010	0	x				1
	011	0						1	x
	100	0		x+1			x		1
	101	0		1		x
	110	0			1			x
	111	0			x	1