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pro vyhledávání: '"orbit codes"'
Akademický článek
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We study orbit codes in the field extension ${\mathbb F}_{q^n}$. First we show that the automorphism group of a cyclic orbit code is contained in the normalizer of the Singer subgroup if the orbit is generated by a subspace that is not contained in a
Externí odkaz:
http://arxiv.org/abs/2101.09548
The distance distribution of a code is the vector whose $i^\text{th}$ entry is the number of pairs of codewords with distance $i$. We investigate the structure of the distance distribution for cyclic orbit codes, which are subspace codes generated by
Externí odkaz:
http://arxiv.org/abs/1912.05522
Akademický článek
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Autor:
Shangdi Chen, Qin Xu
Publikováno v:
IEEE Access, Vol 9, Pp 17139-17147 (2021)
Orbit codes, as special constant dimension codes, have attracted much attention due to their applications for error correction in random network coding. This paper is devoted to constructing large orbit codes by making full use of unitary space. Firs
Externí odkaz:
https://doaj.org/article/1789b04e0ce64e10b5f1147d702c386e
In this paper we characterize the orbit codes as geometrically uniform codes. This characterization is based on the description of all isometries over a projective geometry. In addition, the Abelian orbit codes are defined and a new construction of A
Externí odkaz:
http://arxiv.org/abs/1810.08049
Autor:
Chen, Shangdi, Liang, Junying
Publikováno v:
In Linear Algebra and Its Applications 1 January 2021 608:54-67
Spread codes and cyclic orbit codes are special families of constant dimension subspace codes. These codes have been well-studied for their error correction capability, transmission rate and decoding methods, but the question of how to encode and ret
Externí odkaz:
http://arxiv.org/abs/1409.0610
Cyclic orbit codes are constant dimension subspace codes that arise as the orbit of a cyclic subgroup of the general linear group acting on subspaces in the given ambient space. With the aid of the largest subfield over which the given subspace is a
Externí odkaz:
http://arxiv.org/abs/1403.1218