The Algebra group was visited late January 2019 by Sven Puchinger who is a postdoc at TU München. Sven has visited us before, and is also a former colleague of Johan at Ulm University in 2013-2014. Sven has numerous research papers jointly written with Johan and Peter.
During the visit, we mostly discussed Twisted Reed-Solomon codes: these are optimal codes (MDS) which are constructed by slightly “twisting” a Reed-Solomon code by carefully adding a monomial to the evaluation polynomials. We proposed the codes in an ISIT paper in 2017, and in 2018 we derived more properties and proposed them for quantum-computer-resilient cryptography. After Sven’s visit, we now have new observations which we will write down in an upcoming paper.
Sven also gave a very nice talk entitled “On Decoding and Applications of Interleaved Gabidulin Codes”.