On a class of optimal rateless codes
Subramanian, Vijay G. and Leith, Douglas J. (2008) On a class of optimal rateless codes. In: Conference on Communication, Control, and Computing, 2008 46th Annual Allerton , 23-26 Sept 2008.
Abstract—In this paper we analyze a class of systematic fountain/rateless codes constructed using Bernoulli(1=2) random variables. Using simple bounds we then show that this class of codes stochastically minimizes the number of coded packets receptions needed to successfully decode all the information packets. This optimality holds over a large class of random codes that includes Bernoulli(q) random codes with q ≤ 1/2 and LT codes. We then conclude by demonstrating asymptotic optimality for intermediate decoding of the same codes.
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