Subspace Polynomials and Cyclic Subspace Codes
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Publication:2976951
DOI10.1109/TIT.2016.2520479zbMath1359.94757arXiv1404.7739OpenAlexW2570738108MaRDI QIDQ2976951
Ariel Gabizon, Eli Ben-Sasson, Netanel Raviv, Tuvi Etzion
Publication date: 28 April 2017
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.7739
Related Items (26)
New constant dimension subspace codes from parallel linkage construction and multilevel construction ⋮ Constructions of rank metric codes under actions of the unitary groups ⋮ New constructions of Sidon spaces ⋮ Constructions of Sidon spaces and cyclic subspace codes ⋮ Distance distributions of cyclic orbit codes ⋮ New constructions of large cyclic subspace codes and Sidon spaces ⋮ Cyclic subspace codes via subspace polynomials ⋮ Constructions of large cyclic constant dimension codes via Sidon spaces ⋮ A characterization of cyclic subspace codes via subspace polynomials ⋮ Automorphism groups and isometries for cyclic orbit codes ⋮ Further constructions of large cyclic subspace codes via Sidon spaces ⋮ Message encoding and retrieval for spread and cyclic orbit codes ⋮ New constructions of Sidon spaces and large cyclic constant dimension codes ⋮ Multi-orbit cyclic subspace codes and linear sets ⋮ Constructions and equivalence of Sidon spaces ⋮ New constructions of orbit codes based on imprimitive wreath products and wreathed tensor products ⋮ Galois geometries and coding theory ⋮ Cyclic constant dimension subspace codes via the sum of Sidon spaces ⋮ Linearized trinomials with maximum kernel ⋮ Cyclic orbit flag codes ⋮ Constructions of cyclic constant dimension codes ⋮ New constructions of orbit codes based on the operations of orbit codes ⋮ Further constructions of cyclic subspace codes ⋮ Several kinds of large cyclic subspace codes via Sidon spaces ⋮ Orbit codes from forms on vector spaces over a finite field ⋮ A construction of abelian non-cyclic orbit codes
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