[Turkmath:691] Deu matematik seminerleri
cenap ozel
cenap.ozel at gmail.com
Wed Oct 7 20:00:07 UTC 2015
DEGERLI LISTE UYELERI
14/10/ 2015 CARSAMBA GUNU SAAT 15:30 DA MELTEM GULLUSAC
"Generalized Inverses of Matrices and Least-Squares Solutions in Linear
Codes"
BASLIKLI BIR KONUSMA YAPACAKTIR. TUM ARKADASLAR DAVETLIDIR.
SAYGILARIMLA
CENAP OZEL
Let K be a finite field and C be an [n; k]-code over K. Correction of
errors is one of the problems in linear codes. In this work we use the
concept of generalized inverses of matrices over fi nite fields to respond
to
the question: find a word a approaching a received word b near the
code words of C.
Key words: Inconsistent linear systems, Least-Squares solutions,
Generalized inverses, Moore-Penrose inverses, Linear codes, finite fi elds.
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