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Perfect code
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Algebra
Coding theory
Binary block code
2026-10-03
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A
code
of minimum
distance
d
is perfect if its
Hamming balls
of
radius
⌊(
d
−
1
)
/2
⌋
partition the ambient
word
space
. Every
word
then
has a
unique nearest codeword within the
code
'
s
error-correction
radius
.
Ancestors
(6)
Binary block code
Coding theory
Algebra
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2019
/
ii
/
Paper 2
/
3G
/
Solution
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