University of Primorska Faculty of Mathematics, Natural Sciences and Information Technologies
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Mathematical Research Seminar

Mathematical research seminar is organized by the departments of Mathematics of two members of the University - UP FAMNIT and Andrej Marušič Institute (UP IAM), every Monday from October to June.

You are cordially invited to attend the lectures.

Archive
Datum in ura / Date and time: 17.11.25
(15:00-16:00)
Predavalnica / Location: FAMNIT-MP1
Predavatelj / Lecturer: Sara Ban Martinović (University of Rijeka)
Naslov / Title: Construction of non-free extremal Type II codes over Z_{2^m}
Vsebina / Abstract:

Extremal Type II ℤ2m-codes are a class of self-dual ℤ2m -codes with Euclidean weights divisible by 2m+1 and the largest possible minimum Euclidean weight for a given length.

We introduce a doubling method for constructing a Type II ℤ2m -code of length n from a known Type II ℤ2m -code of length n. Based on this method, we develop an algorithm to construct non-free extremal Type II ℤ2m -codes starting from a free extremal Type II ℤ2m -code with an extremal ℤ2m-1 -residue code and length 24, 32 or 40.

We obtain at least 10 new extremal Type II ℤ8 -codes of length 32 and at least 11 new extremal Type II ℤ16 -codes of length 32.

Joint work with Sanja Rukavina.