Publication: Cyclic orbit codes
Cyclic orbit codes
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Trautmann, A.-L., Manganiello, F., Braun, M., & Rosenthal, J. (2013). Cyclic orbit codes. IEEE Transactions on Information Theory, 59(11), 7386–7404. https://doi.org/10.1109/TIT.2013.2274266
Abstract
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Abstract
A constant dimension code consists of a set of k-dimensional subspaces of Fqn. Orbit codes are constant dimension codes which are defined as orbits of a subgroup of the general linear group, acting on the set of all subspaces of Fqn. If the acting group is cyclic, the corresponding orbit codes are called cyclic orbit codes. In this paper, we show how orbit codes can be seen as an analog of linear codes in the block coding case. We investigate how the structure of cyclic orbit codes can be utilized to compute the minimum distance and c
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Creators (Authors)
- Trautmann, Anna-Lena
- Manganiello, Felice
- Braun, Michael
- Rosenthal, Joachim
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Citations
Trautmann, A.-L., Manganiello, F., Braun, M., & Rosenthal, J. (2013). Cyclic orbit codes. IEEE Transactions on Information Theory, 59(11), 7386–7404. https://doi.org/10.1109/TIT.2013.2274266
