Codes and Designs Related to Lifted MRD Codes

DOI10.1109/TIT.2012.2220119zbMath1364.94597arXiv1102.2593MaRDI QIDQ2989420

Tuvi Etzion, Natalia Silberstein

Publication date: 8 June 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.2593

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (46)

Binary subspace codes in small ambient spaces ⋮ New constant dimension subspace codes from block inserting constructions ⋮ New constant dimension subspace codes from parallel linkage construction and multilevel construction ⋮ New parallelisms of \(\operatorname{PG}(3,5)\) with automorphisms of order 8 ⋮ Subspace code constructions ⋮ Construction of subspace codes through linkage ⋮ Constructions and bounds for mixed-dimension subspace codes ⋮ q-Analogs of Packing Designs ⋮ Rank subcodes in multicomponent network coding ⋮ On transitive parallelisms of \(\mathrm{PG}(3,4)\) ⋮ Unnamed Item ⋮ On the geometry of balls in the Grassmannian and list decoding of lifted Gabidulin codes ⋮ Constant dimension codes from multilevel construction based on matchings of complete hypergraphs ⋮ Construction of constant dimension codes via improved inserting construction ⋮ Almost affinely disjoint subspaces and covering Grassmannian codes ⋮ Constant dimension codes from Riemann-Roch spaces ⋮ Generalized block inserting for constructing new constant dimension codes ⋮ Bilateral multilevel construction of constant dimension codes ⋮ Combining subspace codes ⋮ A note on equidistant subspace codes ⋮ Message encoding and retrieval for spread and cyclic orbit codes ⋮ Anticode-based locally repairable codes with high availability ⋮ Subspace packings: constructions and bounds ⋮ Galois geometries and coding theory ⋮ New constructions of constant dimension codes by improved inserting construction ⋮ Improved generalized block inserting construction of constant dimension codes ⋮ Classifying optimal binary subspace codes of length 8, constant dimension 4 and minimum distance 6 ⋮ Types of spreads and duality of the parallelisms of \(\mathrm{PG}(3,5)\) with automorphisms of order 13 ⋮ Classification of large partial plane spreads in \(\mathrm{PG}(6,2)\) and related combinatorial objects ⋮ New parallelisms of \(\mathrm{PG}(3, 4)\) ⋮ New Lower Bounds for Binary Constant-Dimension Subspace Codes ⋮ Covering of subspaces by subspaces ⋮ A new approach for examining \(q\)-Steiner systems ⋮ Constructions of optimal Ferrers diagram rank metric codes ⋮ Book spreads in \(\mathrm{PG}(7,2)\) ⋮ Several classes of optimal Ferrers diagram rank-metric codes ⋮ Subspaces intersecting in at most a point ⋮ New Regular Parallelisms of PG(3, 5) ⋮ Orbit codes from forms on vector spaces over a finite field ⋮ An asymptotically optimal construction of almost affinely disjoint subspaces ⋮ Binary additive MRD codes with minimum distance \(n-1\) must contain a semifield spread set ⋮ Partial ‐Parallelisms in Finite Projective Spaces ⋮ On point-transitive and transitive deficiency one parallelisms of \(\mathrm{PG}(3,4)\) ⋮ Parallel sub-code construction for constant-dimension codes ⋮ Backtrack search for parallelisms of projective spaces ⋮ Subspace codes from Ferrers diagrams

This page was built for publication: Codes and Designs Related to Lifted MRD Codes