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Matrix Product Structure Of A Permuted Quasi Cyclic Code And Its Dual, Perian Perdhiku
Matrix Product Structure Of A Permuted Quasi Cyclic Code And Its Dual, Perian Perdhiku
Dissertations
In my Dissertation I will work mostly with Permuted Quasi Cyclic Codes. They are a generalization of Cyclic Codes, one of the most important families of Linear Codes in Coding Theory. Linear Codes are very useful in error detection and correction. Error Detection and Correction is a technique that first detects the corrupted data sent from some transmitter over unreliable communication channels and then corrects the errors and reconstructs the original data. Unlike linear codes, cyclic codes are used to correct errors where the pattern is not clear and the error occurs in a short segment of …
Zn Orbifolds Of Vertex Operator Algebras, Daniel Graybill
Zn Orbifolds Of Vertex Operator Algebras, Daniel Graybill
Electronic Theses and Dissertations
Given a vertex algebra V and a group of automorphisms of V, the invariant subalgebra VG is called an orbifold of V. This construction appeared first in physics and was also fundamental to the construction of the Moonshine module in the work of Borcherds. It is expected that nice properties of V such as C2-cofiniteness and rationality will be inherited by VG if G is a finite group. It is also expected that under reasonable hypotheses, if V is strongly finitely generated and G is reductive, VG will also be strongly finitely generated. This is an analogue …