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A Write Once Memory (WOM) is a storage device that consists of cells that can take on q possible linearly-ordered values, with the added constraint that rewrites can only increase a cell's value. In the binary case, each cell can change from the level zero to the level one only once. Examples of WOMs include punch cards, optical disks, and more recently flash memories. A length-n, t-write WOM-code...
The linear-programming decoding performance of a binary linear code crucially depends on the structure of the fundamental cone of the parity-check matrix that describes the code. Towards a better understanding of fundamental cones and the vectors therein, we introduce the notion of absdet-pseudo-codewords and perm-pseudo-codewords: we give the definitions, we discuss some simple examples, and we list...
By exploiting properties of the wireless medium, network coding may provide even larger throughput increases for wireless networks than possible for wired networks. In particular, simultaneously transmitted signals are seen as noisy linear combinations at the antennas of receivers. It is thus quite tempting to use the physical layer to directly perform network coding "on the air". However,...
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