Hamming bound

A binary length-

n

M

and distance at least

2 t + 1

satisfies

M \sum_{j = 0}^{t} (j n) \leq 2^{n} .

Equality means the code is perfect.

 Ancestors (5)

 Incoming links (6)

Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 33 / 2 / Solution
Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 30 / 3 / a / Solution
Past exam of the mathematics course of the University of Cambridge / 2006 / ii / Paper 3 / 4G / Solution
Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 31 / 3 / Solution
Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 2 / 3K / a / Solution
Past exam of the mathematics course of the University of Cambridge / 2026 / ii / Paper 1 / 11H / b / iv / Solution

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