The GC-content of a family of cyclic codes with applications to DNA-codes

Josu Sangroniz, Luis Martínez

Given a prime power $q$ and a positive integer $r>1$ we say that a cyclic code of length $n$, $C\subseteq F_{q^r}^n$, is Galois supplemented if for any non-trivial element $\sigma$ in t…