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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Gadouleau, M. Zhiyuan Yan |
| Copyright Year | 1997 |
| Abstract | In this paper, we investigate geometrical properties of the rank metric space and covering properties of rank metric codes. We first establish an analytical expression for the intersection of two balls with rank radii, and then derive an upper bound on the volume of the union of multiple balls with rank radii. Using these geometrical properties, we derive both upper and lower bounds on the minimum cardinality of a code with a given rank covering radius. The geometrical properties and bounds proposed in this paper are significant to the design, decoding, and performance analysis of rank metric codes. |
| File Size | 163715 |
| File Format | |
| ISSN | 10897798 |
| Volume Number | 13 |
| Issue Number | 9 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2009-09-01 |
| Publisher Place | U.S.A. |
| Access Restriction | One Nation One Subscription (ONOS) |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Error correction codes Decoding Network coding Upper bound Error correction Performance analysis Memory Cryptography Computer errors Guidelines Error control codes, covering radius, rank metric codes, geometrical properties, intersection number |
| Content Type | Text |
| Resource Type | Article |
| Subject | Electrical and Electronic Engineering Modeling and Simulation Computer Science Applications |
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