Speaker: Dr. Carlos Vela Cabello
Affiliation: University of St. Gallen
Abstract
The Gray map is a classical tool in coding theory, providing a bridge between codes over rings and codes over finite fields, most notably in the context of Z4-linear codes and their binary images. In this talk, we explore a novel algebraic and geometric framework for understanding the Gray map. Specifically, we show how the map can be factored through a multivariate polynomial ring, followed by evaluation over a finite projective point set. This reinterpretation not only provides fresh insight into the internal structure of the Gray map but also connects it to more general themes in algebraic geometry and multivariate interpolation.
About Pure mathematics seminars
We present regular seminars on a range of pure mathematics interests. Students, staff and visitors to UQ are welcome to attend, and to suggest speakers and topics.
Seminars are usually held on Tuesdays from 2 to 3pm.
Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.
Information for speakers
Researchers in all pure mathematics fields attend our seminars, so please aim your presentation at a general mathematical audience.
Contact us
To volunteer to talk or to suggest a speaker, email Ole Warnaar or Yang Zhang.
Venue
Room: 343