442 citations · 1.8k across the 59 of their papers we have counts for
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Coding for the Optical Channel: the Ghost-Pulse Constraint
Navin Kashyap, Paul H. Siegel, Alexander Vardy
We consider a number of constrained coding techniques that can be used to mitigate a nonlinear effect in the optical fiber channel that causes the formation of spurious pulses, cal…
On the Asymptotic Performance of Iterative Decoders for Product Codes
Moshe Schwartz, Paul H. Siegel, Alexander Vardy
We consider hard-decision iterative decoders for product codes over the erasure channel, which employ repeated rounds of decoding rows and columns alternatingly. We derive the exac…
Duality between Packings and Coverings of the Hamming Space
Gérard Cohen, Alexander Vardy
We investigate the packing and covering densities of linear and nonlinear binary codes, and establish a number of duality relationships between the packing and covering problems. S…
On the Stopping Distance and the Stopping Redundancy of Codes
Moshe Schwartz, Alexander Vardy
It is now well known that the performance of a linear code under iterative decoding on a binary erasure channel (and other channels) is determined by the size of the smallest s…