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Datum in ura / Date and time: 13.4.26
(15:00-16:00)
Predavalnica / Location: FAMNIT-MP1
Predavatelj / Lecturer: Jihye Jeong (University of Primorska)
Naslov / Title: Construction of optimal few-weight binary and quaternary linear codes using multivariable functions
Vsebina / Abstract:
In this talk, we discuss how to find infinite families of few weight (near-) optimal binary and quaternary linear codes. Our construction methods mainly employ the shortening method and certain multivariable functions. Using our construction methods, new infinite families of (near-) optimal few-weight binary and quaternary linear codes are obtained. As an application of our binary linear codes, we produce support t-designs (t = 2 or 3) which cannot be determined by the Assmus-Mattson Theorem. Additionally, we derive many (near-) optimal quantum codes from the dual codes of our binary code families using the CSS construction.
