The permutation group of affine-invariant codes

Thierry Pierre Berger, Pascale Charpin · 2002

Affine-invariant codes are primitive cyclic codes whose extension is invariant under the affine-group. We present the formal expression of the permutation group of these codes. We then give several tools in order to determine effectively the permutation groups. Our main application is the permutation group of primitive narrow-sense BCH-codes defined on any prime field.

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