Séminaire Lotharingien de Combinatoire, B14Sb (1986).
Arne Dür
The Authomorphism Group of Reed-Solomon Codes
Abstract.
A class of maximum distance separable codes is introduced which
includes Reed-Solomon codes, extended Reed-Solomon
codes, and other cyclic or pseudocyclic MDS codes studied
recently. Codes in this class are called `Cauchy codes'
because of the
special form of their generator matrices. For every Cauchy code the
automorphism group and its underlying permutation group are
determined. For
doubly-extended Reed-Solomon codes over GF(q) the
permutation group is the semilinear fractional group
P\Gamma
L(2,q).
The following version is available:
The paper has been finally published under the same title in
J. Combin. Theory Ser. A 44 (1987), 69-82.