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Algebra
Linear codes and error correction
Linear code over a finite field

28. Linear codes and error correction

Linear code over a finite field

Level: avanzado

In 28. Linear codes and error correction

A linear code

C

of length

n

over

\mathbb F_q

is a vector subspace

C\le \mathbb F_q^n.

Equivalent form

\dim(C)=k,

Tags

algebra
codes
linear codes
CS
algebra formula

Detail

A set of codewords closed under addition and scalar multiplication over the finite field.

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