In this work, we derive an algebraic formulation for the scalar linear network coding problem as an alternative to the one presented by Koetter et al in [1]. Using an equivalence b...
Abstract— We consider the level of information security provided by random linear network coding in network scenarios in which all nodes comply with the communication protocols y...
We first present an equivalent definition of relative generalized Hamming weights of a linear code and its subcodes, and we develop a method using finite projective geometry. Makin...
Lossless video coding is useful in applications where no loss of information or visual quality is tolerable. In embedded to lossless coding an encoded video stream can be decoded ...
The linear programming method is applied to the space Un(C) of unitary matrices in order to obtain bounds for codes relative to the diversity sum and the diversity product. Theore...