# Talk

Modul:   MAT076  Arbeitsgemeinschaft in Codierungstheorie und Kryptographie

## Projective codes and free distance

Prof. Dr. Francisco Javier Lobillo Borrero talk

Speaker invited by: Prof. Dr. Joachim Rosenthal

Date: 27.03.19  Time: 16.00 - 17.00  Room: Y27H28

$$\sigma$$-Quasicyclic and projective convolutional codes are introduced. They are kernels of idempotent endomorphisms on free modules over $$R = A[z;\sigma]$$, where $$A$$ is an algebra over a given finite field. The matrix structure of the endomorphism is used to defined cyclic column distances. They are used to compute the free distance of a projective convolutional code.