CMI Seminar

Tuesday November 14, 2017 4:00 PM

From Network Coding to Sidon Spaces

Speaker: Netanel Raviv, CMS, Caltech
Location: Annenberg 314

Network coding is an efficient method for data transmission in networks. However, in many networks even a single hardware failure might render an entire transmission unreadable. Hence, in order to combat errors and erasures in network coding, subspace codes were introduced.
    A subspace code is a family of subspaces over a finite field that intersect mutually in a small dimension. Since the set of all linear subspaces lacks a linear structure, cyclic subspace codes were defined through the natural action of the group of invertible matrices.
    In this talk, several constructions of cyclic subspaces codes will be presented. A particular attention will be given to Sidon spaces, a newly defined algebraic notion, and their potential applications in post-quantum cryptography will be discussed.

Series Center for the Mathematics of Information (CMI) Seminar Series

Contact: Linda Taddeo at 626-395-6704
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