Systematic Binary Deterministic Rateless Codes

Paper in proceeding, 2008

We investigate a systematic construction of binary deterministic rateless codes (BDRCs). The codes are for networks with erasure channels. With a maximum distance separable(MDS) property, non-systematic BDRCs were first proposed in[1] with encoding complexity O(K), and decoding complexity is O(K2). Here K is the length of information bits. To reduce complexity, we study systematic-BDRCs (SBDRCs). For SBDRCs, the source first transmits m − 1 uncoded blocks, where m is the number of source blocks. Then, the source produces and transmits coded blocks in a rateless way. These coded blocks are produced using only cyclic-shift and XOR (exclusive or). The SBDRCs can use a large number of information blocks (potentially infinite m). On receiving any m distinct blocks (uncoded or coded), a sink can rebuild the source. The SBDRCs have encoding complexity O(εK), and decoding complexity O(ε2K2), where ε is the source-to-sink block erasure probability.