There Are Not Non-obvious Cyclic Affine-invariant Codes

Authors:
José Joaquín Bernal;Ángel Río;Juan Jacobo Simón
Affiliations:
Departamento de Matemáticas, Universidad de Murcia, Spain;Departamento de Matemáticas, Universidad de Murcia, Spain;Departamento de Matemáticas, Universidad de Murcia, Spain
Venue:
AAECC-18 '09 Proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Year:
2009

Citing 4
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Abstract

We show that an affine-invariant code C of length p m is not permutation equivalent to a cyclic code except in the obvious cases: m = 1 or C is either {0}, the repetition code or its dual.