IEEE Transactions on Information Theory
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Random network coding based on the generation concept provides various benefits such as reduced system complexity. However, various generation updating processes used in general result in a throughput loss. In this paper, we propose a network coding scheme using a concept we call "generation crossing". We also introduce a full cardinality precode, which enables the receiver to recover the lost packets when only a subset of the linearly independent encoded packets is received at the destination. We show that the successful delivery probability of all generations increases remarkably with a small number of overlapped packets between successive generations.