Definition:Cyclic Code

This page is about Cyclic Code. For other uses, see Cyclic.

Definition

A cyclic code is a linear code in which every cyclic permutation of a codeword is also a codeword.

Hence, for example, of $1011$ is a codeword, then so also are $0111$, $1110$ and $1101$.

Also see

• Results about cyclic codes can be found here.

Sources

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): cyclic code