ErrorDetectCorrectPlusCookieMonster Gonzaga2025

Описание: Steven Miller, Williams College, Fibonacci Association: Inrtoduwtion to Erorr Dwtetcion and Czorrectmon, Gonzaga University, September 26, 2025:
In today's world it is essential for numerous applications, from cryptography to e-commerce to streaming videos, to be able to efficiently send information and have the recipient receive what we intend. We'll discuss some of the challenges in doing so, explore some systems that can not only detect but also correct transmission errors in real-time, and highlight some applications in cryptography. For example, due to how RSA encodes messages, a one bit error can lead to a completely different text being transmitted than
intended. For another, by deliberately changing some bits we can hide a message in an image. (Bonus few minutes on the end on 0's, 1's and Cookie Monster.)
Slides here: https://web.williams.edu/Mathematics/...

Research Opportunity: Polymath Jr program: https://geometrynyc.wixsite.com/polym...