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S. Li, R. Yeung, N. Cai (2003)
Linear network codingIEEE Trans. Inf. Theory, 49
Shiqiu Liu, F. Oggier (2016)
On applications of orbit codes to storageAdv. Math. Commun., 10
Xuan Guang, Fang-Wei Fu, Zhen Zhang (2010)
Construction of Network Error Correction Codes in Packet Networks2011 International Symposium on Networking Coding
Daniel Heinlein, Michael Kiermaier, Sascha Kurz, A. Wassermann (2016)
Tables of subspace codesArXiv, abs/1601.02864
Natalia Silberstein, Anna-Lena Horlemann-Trautmann (2013)
New lower bounds for constant dimension codes2013 IEEE International Symposium on Information Theory
Eli Ben-Sasson, T. Etzion, Ariel Gabizon, Netanel Raviv (2014)
Subspace polynomials and cyclic subspace codes2015 IEEE International Symposium on Information Theory (ISIT)
Natalia Silberstein, Anna-Lena Horlemann-Trautmann (2014)
Subspace Codes Based on Graph Matchings, Ferrers Diagrams, and Pending BlocksIEEE Transactions on Information Theory, 61
R. Ahlswede, N. Cai, S. Li, R. Yeung (2000)
Network information flowIEEE Trans. Inf. Theory, 46
H. Gluesing-Luerssen, K. Morrison, Carolyn Troha (2014)
Cyclic orbit codes and stabilizer subfieldsArXiv, abs/1403.1218
Anna-Lena Horlemann-Trautmann, Felice Manganiello, M. Braun, J. Rosenthal (2011)
Cyclic Orbit CodesIEEE Transactions on Information Theory, 59
Shutao Xia, Fang-Wei Fu (2007)
Johnson type bounds on constant dimension codesDesigns, Codes and Cryptography, 50
Joan-Josep Climent, V. Requena, X. Soler-Escrivà (2019)
A construction of Abelian non-cyclic orbit codesCryptography and Communications
A. Cossidente, F. Pavese (2016)
On subspace codesDesigns, Codes and Cryptography, 78
H. Gluesing-Luerssen, Carolyn Troha (2015)
Construction of subspace codes through linkageAdv. Math. Commun., 10
R. Koetter, M. Médard (2001)
An algebraic approach to network codingProceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)
Anna-Lena Horlemann-Trautmann, Felice Manganiello, J. Rosenthal (2010)
Orbit codes — A new concept in the area of network coding2010 IEEE Information Theory Workshop
R. Koetter, F. Kschischang (2007)
Coding for Errors and Erasures in Random Network CodingIEEE Transactions on Information Theory, 54
S. Jaggi, M. Effros, T. Ho, M. Médard (2010)
On Linear Network Coding
L. Poinsot (2010)
Non Abelian bent functionsCryptography and Communications, 4
You Gao, Liyum Zhao, G. Wang (2016)
Bounds on subspace codes based on totally isotropic subspaces in unitary spacesDiscret. Math. Algorithms Appl., 8
Azadeh Khaleghi, Danilo Silva, Frank Kschischang (2009)
Subspace Codes
J. Rosenthal, Anna-Lena Horlemann-Trautmann (2011)
A complete characterization of irreducible cyclic orbit codes and their Plücker embeddingDesigns, Codes and Cryptography, 66
T. Etzion, A. Vardy (2011)
Error-Correcting Codes in Projective SpaceIEEE Transactions on Information Theory, 57
An orbit code is a special constant dimension subspace code, which is an orbit of a subgroup of a general linear group acting on the set of all subspaces in the given ambient space. This paper presents some methods of constructing new orbit codes from known orbit codes. Firstly, we introduce the sum operation, intersection operation and union operation of subspace codes, and then we give some methods to obtain new orbit codes from known orbit codes by fully applying the sub-orbits of permutation groups and the direct product operation of the groups. Finally, as a special application, partial spread codes are researched and a condition of orbit codes with constant distance is given.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Dec 27, 2020
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