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Reliable transmission rate
(
R
)
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Algebra
Coding theory
Shannon second coding theorem
2026-10-03
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A
rate
R
is reliably achievable through
a
channel when there is
a
sequence
of
length-
n
channel
codes
with
M
n
messages such that
lim
inf
n
→
∞
n
l
o
g
2
M
n
≥
R
(1)
and their decoding-error
probability
tends to zero.
Ancestors
(6)
Shannon second coding theorem
Coding theory
Algebra
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2019
/
ii
/
Paper 3
/
3G
/
i
/
Solution
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