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Algebra Seminar--Master's Talk

Date:
-
Location:
745 Patterson Office Tower
Speaker(s) / Presenter(s):
Neville Fogarty, University of Kentucky

Title:  Duals of Skew θ-Constacyclic Codes

Abstract:  We generalize cyclic codes to skew θ-constacyclic codes using skew polynomial rings. We provide a useful tool for exploring these codes: the circulant. In addition to presenting some properties of the circulant, we use it to re-examine a theorem giving the dual code of a θ-constacyclic code first presented by Boucher/Ulmer (2011).