Drisana Bhatia L&S Math & Physical Sciences
The Theory of Lee Metric Anticodes
Coding theory is a branch of mathematics and computer science that works toward the reliable transmission and storage of information using error-correcting codes. It also plays an important role in code-based cryptography.
Anticodes are powerful mathematical tools used to derive invariants, which capture some of the most intrinsic properties of codes. These invariants play a critical role in cryptography, specifically in evaluating the strength of code-based cryptosystems. Anticodes have been studied in field-based metrics, but their properties in the more general ring-based metrics remain unexplored. This project will establish a comprehensive theory of anticodes for integer residue rings within the Lee metric, introducing new methods for analyzing code parameters, deriving bounds, and refining structural classifications.
Message To Sponsor
Thank you so much for your support! This project will not only deepen my interest in mathematical research, but also prepare me for graduate study in math. Your support is helping me take a meaningful step toward a research-focused career.