Proposition 1. The nested code property in (1) holds also if M and thus one or more of the matrices H, H 1 , and H are (row) rank deficient. For a rank deficit r of the check matrix H the rate loss for the global code C is given as ΔR ≤ r/N. 2
Proposition 1. The nested code property in (1) holds also ifM and thus one or more of the matrices H, H1, and Hare(row) rank deficient. For a rank deficit r of the check matrixH the rate loss for the global code C is given as ΔR ≤ r/N.2