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
)
M
>