PICS
Postgraduate International Coding theory Seminar
PICS is an online seminar series designed for junior researchers who work in the area of coding theory. The aim of the seminar is to give an opportunity to PhD students and early-stage postdocs to present their work and to interact with the other participants.
NEXT SEMINAR - April 8, 2025 - 4:00pm CET, (10:00am EST)
Johan Dinesen
Aalto University
Rank-metric codes and secret sharing
The connection between secret sharing and matroid theory is well-established through the framework of polymatroid ports. In recent years, there has been significant interest in q-polymatroids, the q-analogues of matroids. Rank-metric codes provide a natural class of q-polymatroids, known as representable q-polymatroids. In this work, we introduce q-analogues of access structures and polymatroid ports. Specifically, we explore their basic properties, including minors and duality. Finally, we examine how rank-metric codes give rise to such schemes and demonstrate how the induced rank function can be characterized using the entropy of random variables derived from the associated rank-metric code.
Organizers
Kirsten morris
I am a PhD student at the University of Nebraska-Lincoln advised by Christine Kelley and Tefjol Pllaha.
Contact
For further information or questions about the seminar, please email us at pics.seminar@gmail.com