We have proposed a low-density parity-check code ensemble C{sub}1 (n, π) and developed its density evolution. The density evolution for C{sub}1 (n, π) required a conjecture which was supported empirically. In this report we simplify the conjecture to derive the density evolution for C{sub}1 (n, π). Further, we propose a subensemble C{sub}2(n, π) {is contained in} C{sub}1 (n, π) whose density evolution does not require any conjecture.
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