Bilateral multilevel construction of constant dimension codes
Shuhui Yu, Lijun Ji, Shuangqing Liu
Abstract
<p style='text-indent:20px;'>Subspace codes have received lots of attention due to applications in random network coding. This paper presents a new construction, called bilateral multilevel construction, to generalize the multilevel construction and inverse multilevel construction by introducing bilateral identifying vectors. Many constant dimension codes with larger size than previous are obtained.
Topics & Concepts
MathematicsSubspace topologyDimension (graph theory)Coding (social sciences)Constant (computer programming)InverseMultilevel modelDiscrete mathematicsTheoretical computer scienceAlgorithmCombinatoricsStatisticsGeometryMathematical analysisComputer scienceProgramming languageCooperative Communication and Network CodingAdvanced MIMO Systems OptimizationAdvanced Wireless Communication Technologies