30 citations · 51 across the 4 of their papers we have counts for
4 papers
A functional view of upper bounds on codes
Alexander Barg, Dmitry Nogin
Functional and linear-algebraic approaches to the Delsarte problem of upper bounds on codes are discussed. We show that Christoffel-Darboux kernels and Levenshtein polynomials rela…
A bound on Grassmannian codes
Alexander Barg, Dmitry Nogin
We give a new asymptotic upper bound on the size of a code in the Grassmannian space. The bound is better than the upper bounds known previously in the entire range of distances ex…
Spectral approach to linear programming bounds on codes
Alexander Barg, Dmitry Nogin
We give new proofs of asymptotic upper bounds of coding theory obtained within the frame of Delsarte's linear programming method. The proofs rely on the analysis of eigenvectors of…
Three-block exceptional collections over Del Pezzo surfaces
Boris V. Karpov, Dmitri Yu. Nogin
We study complete exceptional collections of coherent sheaves over Del Pezzo surfaces, which consist of three blocks such that inside each block all Ext groups between the sheaves…