Subspace Codes in PG(2N − 1, Q)
Sign Up to like & getrecommendations! Published in 2017 at "Combinatorica"
DOI: 10.1007/s00493-016-3354-5
Abstract: An (r,M,2δ;k)q constant-dimension subspace code, δ > 1, is a collection C of (k − 1)-dimensional projective subspaces of PG(r − 1,q) such that every (k − δ)-dimensional projective subspace of PG(r − 1,q) is… read more here.
Keywords: subspace code; dimension subspace; constant dimension; subspace codes ... See more keywords
Generalized Linkage Construction for Constant-Dimension Codes
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2020.3038272
Abstract: A constant-dimension code (CDC) is a set of subspaces of constant dimension in a common vector space with upper bounded pairwise intersection. We improve and generalize two constructions for CDCs, the improved linkage construction and… read more here.
Keywords: constant dimension; linkage; linkage construction; generalized linkage ... See more keywords
Double Multilevel Constructions for Constant Dimension Codes
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2022.3200052
Abstract: Abstract: Constant dimension codes (CDCs), as special subspace codes, have received a lot of attention due to their application in random network coding. This paper introduces a family of new codes, called Ferrers diagram rank-metric… read more here.
Keywords: constant dimension; dimension codes; double multilevel; multilevel construction ... See more keywords