Cyclic orbit codes
AL Trautmann, F Manganiello, M Braun… - IEEE Transactions …, 2013 - ieeexplore.ieee.org
… codes as block codes and orbit codes as constant dimension codes. Moreover, we continue
the work of [28]. We describe cyclic … we can construct optimal codes with minimum distance …
the work of [28]. We describe cyclic … we can construct optimal codes with minimum distance …
New constructions of orbit codes based on the operations of orbit codes
S Chen, J Liang - Acta Mathematicae Applicatae Sinica, English Series, 2020 - Springer
… The motivation of this paper is to explore ways to construct new orbit codes from some known
ones. Firstly, we introduce the sum operation, intersection operation and union operation …
ones. Firstly, we introduce the sum operation, intersection operation and union operation …
[HTML][HTML] An orbital construction of optimum distance flag codes
C Alonso-González, MÁ Navarro-Pérez… - Finite Fields and Their …, 2021 - Elsevier
… construction on F q 2 k of full flag codes having maximum distance (optimum distance full flag
codes) that can be endowed with an orbital … More precisely, starting from a subspace code …
codes) that can be endowed with an orbital … More precisely, starting from a subspace code …
A construction of Abelian non-cyclic orbit codes
JJ Climent, V Requena, X Soler-Escrivà - Cryptography and …, 2019 - Springer
… orbit code Abelian orbit code. In this paper we present a construction of an Abelian non-cyclic
orbit code … Our code is a partial spread and consequently its minimum subspace distance …
orbit code … Our code is a partial spread and consequently its minimum subspace distance …
Cyclic orbit codes and stabilizer subfields
H Gluesing-Luerssen, K Morrison, C Troha - arXiv preprint arXiv …, 2014 - arxiv.org
… a construction that allows us to link cyclic orbit codes leading to … the linkage construction to
cyclic orbit codes results in a code whose … cardinality of a cyclic orbit code of the same length. …
cyclic orbit codes results in a code whose … cardinality of a cyclic orbit code of the same length. …
Constructions of Orbit Codes Based on Unitary Spaces Over Finite Fields
S Chen, Q Xu - IEEE Access, 2021 - ieeexplore.ieee.org
… how to construct unitary orbit codes which arise as an orbit of a … In this paper, we firstly
construct a cyclic unitary group of … we mainly give a construction of cyclic orbit codes based on n…
construct a cyclic unitary group of … we mainly give a construction of cyclic orbit codes based on n…
Orbit codes—a new concept in the area of network coding
AL Trautmann, F Manganiello… - 2010 IEEE Information …, 2010 - ieeexplore.ieee.org
… orbit codes a new class of codes for random network coding. These codes can be described
as the discrete orbit … algebraic construction of constant dimension codes can be seen as …
as the discrete orbit … algebraic construction of constant dimension codes can be seen as …
[HTML][HTML] Orbit-counting polynomials for graphs and codes
PJ Cameron, B Jackson, JD Rudd - Discrete mathematics, 2008 - Elsevier
… We construct an “orbital Tutte polynomial” associated with a … , the orbital Tutte polynomial
specialises to count orbits of G on … of a linear code over GF ( q ) , the orbital Tutte polynomial …
specialises to count orbits of G on … of a linear code over GF ( q ) , the orbital Tutte polynomial …
A complete characterization of irreducible cyclic orbit codes and their Plücker embedding
J Rosenthal, AL Trautmann - Designs, Codes and Cryptography, 2013 - Springer
… Orbit codes can be classified according to the groups used to construct the orbit. In this work
we characterize orbit codes generated by irreducible cyclic subgroups of the general linear …
we characterize orbit codes generated by irreducible cyclic subgroups of the general linear …
Cyclic orbit flag codes
C Alonso-González, MÁ Navarro-Pérez - Designs, Codes and …, 2021 - Springer
… orbital structure whereas in [2] an orbital construction of them … cyclic flag codes as the
cyclic orbit codes generated by … Despite the fact that these codes have the minimum possible …
cyclic orbit codes generated by … Despite the fact that these codes have the minimum possible …
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