Difference between revisions of "Quadratic residue code"
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Latest revision as of 00:05, 8 May 2008
Let be a prime. The quadratic residue code associated with is the binary linear code defined as follows:
- The underlying set is the set
- The subspace involved is the subspace generated by all translates of the set of quadratic non-residues
In other words, it is a cyclic code with generator polynomial being the generating function for the quadratic non-residues.