Revisiting What We Knew About the Usefulness of Code Construction

Revisiting What We Knew About the Usefulness of Code Construction

By Muriel Medard (Massachusetts Institute of Technology)

Talk Abstract: Careful joint constructions of codes and decoders generally presuppose, often implicitly, isotropic IID models of noise, generally achieved at the cost of interleaving and delay. These IID models are then sublimated into algebraic notions, such as distance. We envisage a different philosophy. We consider taking as a starting point that the core parameter in operating communications system is the effect of the channel characteristics, such as the noise, which should be considered in terms of their realizations, not their average behavior or an arbitrary worst case number of errors. With guessing random additive noise decoding (GRAND), the process of decoding is that of inverting the noise effect, followed by checking codebook membership. The construction of the code can be in effect relegated merely to that of a good hash for verification of the validity of a codeword. Trivially simple code constructions, from random to CRC, work extremely well. We shall show how GRAND works extremely well in hardware.

Speaker Bio: Muriel Médard is the NEC Professor of Software Science and Engineering in the Electrical Engineering and Computer Science (EECS) Department at MIT, where she leads the Network Coding and Reliable Communications Group in the Research Laboratory for Electronics at MIT and Chief Scientist for Steinwurf, which she has co-founded. She obtained three Bachelors degrees, as well as her M.S. and Sc.D, all from MIT. Muriel is a Member of the US National Academy of Engineering (elected 2020), a Member of the German National Academy of Sciences Leopoldina (elected 2022), a Fellow of the US National Academy of Inventors (elected 2018), American Academy of Arts and Sciences (elected 2021), and a Fellow of the Institute of Electrical and Electronics Engineers (elected 2008). She holds Honorary Doctorates from the Technical University of Munich (2020) and from The University of Aalborg (2022). Muriel was awarded the 2022 IEEE Kobayashi Computers and Communications Award. She received the 2019 Best Paper award for IEEE Transactions on Network Science and Engineering, the 2018 ACM SIGCOMM Test of Time Paper Award, as well as nine conference paper awards. Muriel currently serves as the Editor-in-Chief of the IEEE Transactions on Information Theory. Muriel was elected president of the IEEE Information Theory Society in 2012, and serves on its board of governors, having previously served for eleven years. Muriel received the inaugural MIT Postdoctoral Association Mentoring Award in 2022, the inaugural MIT EECS Graduate Student Association Mentor Award, voted by the students in 2013. She set up the Women in the Information Theory Society (WithITS) and Information Theory Society Mentoring Program, for which she was recognized with the 2017 Aaron Wyner Distinguished Service Award. She serves on the Nokia Bell Labs Technical Advisory Board. Muriel has over sixty US and international patents awarded, the vast majority of which have been licensed or acquired. For technology transfer, she has co-founded CodeOn, for which she consults, and Steinwurf, for which she is Chief Scientist. Muriel has supervised over 40 master students, over 20 doctoral students and over 25 postdoctoral fellows.