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 …

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 …

[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

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 …

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. …

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…

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 …

[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 …

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 …

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 …