Raziskovalni matematični seminar - Arhiv
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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.
