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Low Complexity Encoding for Network Codes

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3 Author(s)
Jaggi, S. ; Lab. of Inf. & Decision Sci., Massachusetts Inst. of Technol., Cambridge, MA ; Cassuto, Y. ; Effros, M.

In this paper we consider the per-node run-time complexity of network multicast codes. We show that the randomized algebraic network code design algorithms described extensively in the literature result in codes that on average require a number of operations that scales quadratically with the block-length m of the codes. We then propose an alternative type of linear network code whose complexity scales linearly in m and still enjoys the attractive properties of random algebraic network codes. We also show that these codes are optimal in the sense that any rate-optimal linear network code must have at least a linear scaling in run-time complexity

Published in:

Information Theory, 2006 IEEE International Symposium on

Date of Conference:

9-14 July 2006