Examples
For example, if A= and n=3, the set of codewords contained in the (1,1,0)-cyclic code is precisely
- .
It corresponds to the ideal in generated by .
Note that is an irreducible polynomial in the polynomial ring, and hence the code is an irreducible code.
The idempotent of this code is the polynomial, corresponding to the codeword (1,1,0).
Read more about this topic: Cyclic Code
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