A new framework with coset-weight generating functions and local growth analysis improves upper bounds on the rate-distance tradeoff for LDPC codes beyond prior work.
Upper bounds on the rate of LDPC codes as a function of minimum distance.IEEE Transactions on Information Theory, 52(5):2092–2100
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Improved Rate-versus-Distance Upper Bounds for LDPC Codes
A new framework with coset-weight generating functions and local growth analysis improves upper bounds on the rate-distance tradeoff for LDPC codes beyond prior work.