Title
A Polynomial Formula for Finite-Length BATS Code Performance.
Abstract
Batched sparse (BATS) codes have been proposed for communication through networks with packet loss. BATS codes include a matrix generalization of fountain codes as the outer code and random linear network coding at the intermediate network nodes as the inner code. BATS codes, however, do not possess a universal degree distribution that achieves the optimal rate for any distribution of the transfer matrix ranks, so that fast performance evaluation of finite-length BATS codes is important for optimizing the degree distribution. The state-of-the-art finite-length performance evaluation method has a computational complexity of O(K 2 n 2 M), where K, n, and M are the number of input symbols, the number of batches, and the batch size, respectively. We propose a polynomial-form formula for finite-length BATS codes performance evaluation with the computational complexity of O(K 2 n ln n). Numerical results demonstrate that the polynomial-form formula can be significantly faster than the previous methods.
Year
DOI
Venue
2017
10.1109/LCOMM.2016.2619698
IEEE Communications Letters
Keywords
Field
DocType
Decoding,Network coding,Packet loss,Performance evaluation,Computational complexity
Concatenated error correction code,Combinatorics,Polynomial,Fountain code,Matrix (mathematics),Degree distribution,Linear code,Decoding methods,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
21
1
1089-7798
Citations 
PageRank 
References 
2
0.41
2
Authors
3
Name
Order
Citations
PageRank
Huakai Zhao120.41
Shenghao Yang23313.84
Guangliang Dong392.66