Seminar Details
Enumerative Combinatorics and Coding Theory
- Start Date: October 27, 2022
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Seminar Series: Experimental Math Seminar
- Presenter(s): Ilias Kotsireas - Wilfrid Laurier University
- Event Location: Online Event
- Event Additional Info: <p>Presented Via Zoom: <a href="https://rutgers.zoom.us/j/94346444480">https://rutgers.zoom.us/j/94346444480</a></p> <p>Password: 6564120420</p> <p>For further information see: <a href="https://sites.math.rutgers.edu/~zeilberg/expmath/">https://sites.math.rutgers.edu/~zeilberg/expmath/</a></p>
- Presentation Type: Stand Alone Presentation
- Abstract:
Subtitle: Eliahou Theory and application to enumerating Legendre Pairs
In his seminal 1994 paper entitled "Enumerative combinatorics and coding theory", Shalom Eliahou proposes a theory/method to enumerate the values of a polynomial in n variables with non-negative integer coefficients, assumed on {-1,+1}^n. The method builds an associated binary linear code whose enumeration of certain weight suffices to answer the question. We shall present Eliahou's theory, as well as its application to the problem of enumerating Legendre pairs. For background in Legendre pairs, please consult the ICECA 2022 talk .
Link to video: https://vimeo.com/767030516