Title :
Packing and Covering Properties of Rank Metric Codes
Author :
Gadouleau, Maximilien ; Yan, Zhiyuan
Author_Institution :
Dept. of Electr. & Comput. Eng., Lehigh Univ., Bethlehem, PA
Abstract :
This paper investigates packing and covering properties of codes with the rank metric. First, we investigate packing properties of rank metric codes. Then, we study sphere covering properties of rank metric codes, derive bounds on their parameters, and investigate their asymptotic covering properties.
Keywords :
codes; asymptotic covering property; packing-and-covering property; rank metric code; sphere covering property; Data compression; Decoding; Distortion measurement; Error correction; Error correction codes; Network coding; Public key cryptography; Vectors; Wireless communication; Covering radius; error control codes; rank metric codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2008.928284
