Lect 15 Errors in Crossbars

CSCI 2570
@John E Savage

28

Fault-Tolerant Random Particle Decoders

•In a
randomized-contact decoder, c*ij* = 1 with some fixed probability, *p*.

•If each
pair of codeword has a BHD of at least *2d + 2*, the
decoder can tolerate *d* errors per pair.

•This
holds with probability > 1- *f *when

(*d* + (*d**2* + 4 *ln*(*N**2*/*f** *))1/2)2

4*p*(1 - *p*)