High Dimensional Error-Correcting Codes

Details High Dimensional Error-Correcting Codes High Dimensional Error-Correcting Codes

2009-10-29

arxiv.org/abs/0910.5697v2

Computer Science

Information Theory

Scientific paper

In this paper we construct multidimensional codes with high dimension. The codes can correct high dimensional errors which have the form of either small clusters, or confined to an area with a small radius. We also consider small number of errors in a small area. The clusters which are discussed are mainly spheres such as semi-crosses and crosses. Also considered are clusters with small number of errors such as 2-bursts, two errors in various clusters, and three errors on a line. Our main focus is on the redundancy of the codes when the most dominant parameter is the dimension of the code.

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