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- Gadi Miller, David Burshtein
- IEEE Trans. Information Theory
- 2001

We derive both upper and lower bounds on the decoding error probability of ML decoded LDPC codes. The results hold for any binary-input symmetric-output channel. Our results indicate that for variousâ€¦ (More)

- David Burshtein, Michael Krivelevich, Simon Litsyn, Gadi Miller
- IEEE Transactions on Information Theory
- 2002

New upper bounds on the rate of low-density parity-check (LDPC) codes as a function of the minimum distance of the code are derived. The bounds apply to regular LDPC codes, and sometimes also toâ€¦ (More)

- David Burshtein, Gadi Miller
- IEEE Transactions on Information Theory
- 2004

We show how asymptotic estimates of powers of polynomials with nonnegative coefficients can be used in the analysis of low-density parity-check (LDPC) codes. In particular, we show how theseâ€¦ (More)

- David Burshtein, Gadi Miller
- IEEE Transactions on Information Theory
- 2004

We propose an efficient maximum-likelihood (ML) decoding algorithm for decoding low-density parity-check (LDPC) codes over the binary-erasure channel (BEC). We also analyze the computationalâ€¦ (More)

- David Burshtein, Gadi Miller
- IEEE Trans. Information Theory
- 2001

- David Burshtein, Gadi Miller
- IEEE Trans. Information Theory
- 2002

We consider Gallagerâ€™s soft decoding (belief propagation) algorithm for decoding low density parity check (LDPC) codes, when applied to an arbitrary binary-input symmetric-output channel. Byâ€¦ (More)

- Uri Erez, Gadi Miller
- IEEE Transactions on Information Theory
- 2005

We derive the asymptotic spectra of low-density parity-check (LDPC) ensembles over Z/sub q/. We consider two ensembles of LDPC matrices, one is binary and the other q-ary. We also show that forâ€¦ (More)

- CodesDavid Burshtein, Mi hael Krivelevi, Simon Litsyn, Gadi Miller
- 2002

We show how expander based arguments may be used to prove that message passing algorithms can correct a linear number of erroneous messages. The implication of this result is that when the blockâ€¦ (More)

- Gadi Miller, Hanan Stein, Arik Honig, Yoram Kapulnik, A C C V Zilberstein
- Planta
- 2005

Free proline accumulation is an innate response of many plants to osmotic stress. To characterize transcriptional regulation of the key proline cycle enzymes in alfalfa (Medicago sativa), two prolineâ€¦ (More)

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