Browsing Mathematics by Author "Robinson, Zachary"
-
Idempotents in Cyclic Codes
Brame, Benjamin (East Carolina University, 2012)Cyclic codes give us the most probable method by which we may detect and correct data transmission errors. These codes depend on the development of advanced mathematical concepts. It is shown that cyclic codes, when viewed ... -
Newton Polygons on p-adic Number Fields
Teller, Jacek (East Carolina University, 2012)This thesis offers a clear introduction to p-adic number fields, and the method of Newton polygons to approximate the size of roots of polynomials in the completion of the algebraic closure of p-adic number fields. Ostrowski's ...