New MDS Euclidean Self-Orthogonal Codes
Xiaolei Fang, Meiqing Liu, Jinquan Luo
Abstract
In this paper, two criterions of MDS Euclidean self-orthogonal codes are presented. New MDS Euclidean self-dual codes and self-orthogonal codes are constructed via the criterions. In particular, among our constructions, for large square q, about 1/8·q new MDS Euclidean (almost) self-dual codes over F <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">q</sub> can be produced. Moreover, we can construct about 1/4· q new MDS Euclidean self-orthogonal codes with different even lengths n and dimension n/2-1.
Topics & Concepts
Euclidean distanceEuclidean geometryEuclidean distance matrixDimension (graph theory)MathematicsCombinatoricsEuclidean domainDiscrete mathematicsDual (grammatical number)Computer scienceGeometryArtLiteratureCoding theory and cryptographygraph theory and CDMA systemsAdvanced Wireless Communication Techniques