On conjugacy classes of subgroups of the general linear group and cyclic orbit codes

Details On conjugacy classes of subgroups of the general linear group and cyclic orbit codes On conjugacy classes of subgroups of the general linear group and cyclic orbit codes

2011-02-16

arxiv.org/abs/1102.3350v2

Computer Science

Information Theory

5 pages; Submitted to IEEE International Symposium on Information Theory (ISIT) 2011

Scientific paper

Orbit codes are a family of codes employable for communications on a random
linear network coding channel. The paper focuses on the classification of these
codes. We start by classifying the conjugacy classes of cyclic subgroups of the
general linear group. As a result, we are able to focus the study of cyclic
orbit codes to a restricted family of them.

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