Zi-Qing Xiang

Permutation automorphism groups of cyclic codes I: cyclotomic association schemes

The Berger-Charpin conjecture predicts that the permutation automorphism group of a cyclic code is generally the $q$-affine group, which is generated by the shift and the Frobenius multiplier on the index set. The word {\em generally} is not made precise in the literature, and the goal of this series of papers is to st...