Partial spreads in random network coding

DOI10.1016/j.ffa.2013.11.007zbMath1288.94107arXiv1306.5609OpenAlexW2962878445MaRDI QIDQ2637329

Alberto Ravagnani, Elisa Gorla

Publication date: 11 February 2014

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5609

zbMATH Keywords

random network codingpartial spread

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Combinatorial codes (94B25)

Related Items (16)

Flag codes of maximum distance and constructions using Singer groups ⋮ Optimum distance flag codes from spreads via perfect matchings in graphs ⋮ Construction of subspace codes through linkage ⋮ The maximum size of a partial spread in a finite projective space ⋮ Almost affinely disjoint subspaces and covering Grassmannian codes ⋮ Equidistant subspace codes ⋮ Message encoding and retrieval for spread and cyclic orbit codes ⋮ Constructions of optimum distance full flag codes ⋮ Flag codes from planar spreads in network coding ⋮ The maximum size of a partial spread. II: Upper bounds ⋮ Partition-balanced families of codes and asymptotic enumeration in coding theory ⋮ A construction of abelian non-cyclic orbit codes ⋮ An asymptotically optimal construction of almost affinely disjoint subspaces ⋮ Hamming and simplex codes for the sum-rank metric ⋮ Flag codes: distance vectors and cardinality bounds ⋮ Subspace codes from Ferrers diagrams

Cites Work

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• Partial spreads in finite projective spaces and partial designs
• On t-covers in finite projective spaces
• Coding for Errors and Erasures in Random Network Coding
• Network information flow
• Linear network coding
• Error-Correcting Codes in Projective Spaces Via Rank-Metric Codes and Ferrers Diagrams
• Error-Correcting Codes in Projective Space

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