On isomorphism problem for cyclic codes

Mikhail Muzychuk (Netanya Academic College, Israel)

A cyclic code of length $n$ is a subspace $C$ of ${\mathbb F}_q^n$ which is invariant under a cyclic shift of coordinates. Two cyclic codes are called equivalent (isomorphic) if there exists a permutation of coordinates which moves one code to another. In the talk we'll discuss an approach which allows to find whether two given cyclic codes are equivalent or not,