Session S29 - Theory and Applications of Coding Theory

Tuesday, July 13, 13:30 ~ 13:55 UTC-3

Twisted group codes

Javier de la Cruz

Universidad del Norte, Colombia   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We investigate right ideals as codes in twisted group algebras. Such codes are called twisted group codes. It turns out that many interesting codes belong to this class; for instance, the ternary extended Golay code, Hamming codes and constacyclic codes. In particular we characterize all linear codes which are twisted group codes in terms of their automorphism group.

Joint work with Wolfgang Willems (Otto-von-Guericke-Universität, Magdeburg).

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