Abstract: A new family of metrics is introduced. Each of these is defined by a spanning set F of linear subspaces of a finite vector space.
Metrics Generated by Families of Subspaces. Ernst M. Gabidulin, Member, IEEE, and Juriaan Simonis, Member, IEEE. Abstract— A new family of metrics is introduced ...
In this paper we offer a metric similar to graph edit distance which measures the distance between two (possibly infinite)weighted graphs with finite norm (we ...
Metrics generated by families of subspaces · Discrete Mathematics · Mathematics and Computer Science · Coding Theory and Cryptology.
Thus θ determines the same uniformity on Sx as the metric θ(the uniformity determined by θ has as a base the family of subsets of. Sx. X Sx of the form {(Y, Z)\ ...
Dec 1, 2023 · In the present article we introduce and study the following types of families: a -metrizable family, a family of -subspaces, a family of p-subspaces and a ...
Metrics Generated by Families of Subspaces · E. GabidulinJ. Simonis. Mathematics. IEEE Trans. Inf. Theory. 1998. A new family of metrics is introduced. Each of ...
May 15, 2024 · This paper introduces a new infinite family of h ℎ h italic_h -subspaces, along with their associated MRD codes. Additionally, it addresses the ...
A (continuous) metric family is a disjoint collection of metric spaces whose metrics are compatible with a given topology on the disjoint union.
Abstract. We introduce the problem of constructing explicit variety evasive subspace families. Given a family F of subvarieties of a projective or affine ...