Rodrigo San José Rubio

My research is focused on algebraic coding theory and its applications to cryptography and quantum error-correction. In particular, I use techniques from commutative algebra and algebraic geometry to derive properties of linear codes which are desired for applications. 

With respect to quantum error-correction, I have studied algebraic characterizations of codes admitting certain transversal logical gates, and I have used subfield subcodes to obtain codes with record-breaking parameters.

Regarding cryptography, I have worked on the study of generalized Hamming weights, which are invariants of linear codes that have applications in the wiretap channel of type II and ramp secret sharing schemes. Moreover, I would like to study generalizations of recent algebraic attacks on McEliece, a code-based cryptosystem.

Mentor: Hiram Lopez