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Algebra Seminar

Date:
-
Location:
945 Patterson Office Tower
Speaker(s) / Presenter(s):
Professor Heide Gluesing-Luerssen, University of Kentucky

Title:  Codes over Frobenius rings and an extension theorem--Part 2

Abstract:  An important result in algebraic coding theory tells us that every Hamming weight-preserving isomorphism between subspaces in F^n, where F is a finite field, extends to a Hamming weight-preserving isomorphism on the entire F^n. This has led to a variety of generalizations, namely to submodules over certain rings and/or different weight functions.  In this talk, I will discuss the extension theorem for Frobenius rings and poset weights. Both notions, Frobenius rings and poset weights, will be introduced.

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