Abstract--In linear programming (LP) decoding of a low-density parity-check (LDPC) code one minimizes a linear functional, with coefficients related to log-likelihood ratios, over ...
Guruswami and Indyk showed in [1] that Forney's error exponent can be achieved with linear coding complexity over binary symmetric channels. This paper extends this conclusion...
We present a new class of asymptotically good, linear error-correcting codes. These codes can be both encoded and decoded in linear time. They can also be encoded by logarithmic-d...
d Abstract) Noga Alon ∗ Jeff Edmonds † Michael Luby ‡ An (n, c, , r)-erasure code consists of an encoding algorithm and a decoding algorithm with the following properties. ...