Algebra and Geometry Seminar

09/30/2015 - 2:00pm to 3:00pm
POT 745
Speaker(s) / Presenter(s): 
Neville Fogarty

Title: A Circulant Approach to Skew-Constacyclic Codes

Abstract:  We introduce a type of skew-generalized circulant matrices that captures the structure of a skew-polynomial ring F[x;θ] modulo the left ideal generated by a polynomial of the form x^n-a. This allows us to develop an approach to skewconstacyclic codes based on skew-generalized circulants. We show that for the code-relevant case, the transpose of a skew-generalized circulant is also a skew-generalized circulant. This recovers the well-known result that the dual of a skew-constacyclic code is also a skew-constacyclic code. Please note that this will be a 20 minute talk in preparation for the upcoming AMS Sectional Meeting in Chicago.
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