The integration of network coding with algebraic coding theory has significantly advanced the efficiency and reliability of communication systems. At its core, network coding involves the intelligent ...

We look at the construction of a particular subclass of cyclic codes known as the Bose-Chaudhuri-Hocquenghem (BCH) Codes. These codes are constructed with a prescribed minimum distance, which means ...

The University of Colorado Center for Number Theory has interests spanning number theory, from analytic to algebraic. There is a focus on arithmetic geometry, including arithmetic dynamics, elliptic ...