Abstract
Using the classification of finite simple groups, we obtain a condition for a permutation group on a finite field GF(pm) to have the affine group AGL(1,pm) as a subgroup. Applying this result to the automorphism groups of non trivial affine-invariant codes, we prove that these automorphism groups are always subgroups of the general affine group AGL(m,p).
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Communicated by D. Jungnickel
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Berger, T.P. On the automorphism groups of affine-invariant codes. Des Codes Crypt 7, 215–221 (1996). https://doi.org/10.1007/BF00124512
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DOI: https://doi.org/10.1007/BF00124512