151. Column Rank Distances of Rank Metric Convolutional Codes
- Author
-
Diego Napp, Raquel Pinto, Filipa Santana, Joachim Rosenthal, University of Zurich, Barbero, Ángela I, Skachek, Vitaly, Ytrehus, Øyvind, and Pinto, Raquel
- Subjects
Discrete mathematics ,Rank (linear algebra) ,Computer science ,020206 networking & telecommunications ,0102 computer and information sciences ,02 engineering and technology ,01 natural sciences ,Column (database) ,10123 Institute of Mathematics ,510 Mathematics ,Finite field ,010201 computation theory & mathematics ,Convolutional code ,Linear network coding ,Metric (mathematics) ,0202 electrical engineering, electronic engineering, information engineering ,1700 General Computer Science ,2614 Theoretical Computer Science ,Hamming code - Abstract
In this paper, we deal with the so-called multi-shot network coding, meaning that the network is used several times (shots) to propagate the information. The framework we present is slightly more general than the one which can be found in the literature. We study and introduce the notion of column rank distance of rank metric convolutional codes for any given rate and finite field. Within this new framework we generalize previous results on column distances of Hamming and rank metric convolutional codes [3, 8]. This contribution can be considered as a continuation follow-up of the work presented in [10].
- Published
- 2017