Title :
A Parallel Algorithm for Enumerating Joint Weight of a Binary Linear Code in Network Coding
Author :
Ando, Shohei ; Ino, Fumihiko ; Fujiwara, Toru ; Hagihara, Kenichi
Author_Institution :
Grad. Sch. of Inf. Sci. & Technol., Osaka Univ., Suita, Japan
Abstract :
In this paper, we present a parallel algorithm for enumerating joint weight of a binary linear (n, k) code, aiming at accelerating assessment of its decoding error probability for network coding. To reduce the number of pairs of code words to be investigated, our parallel algorithm reduces dimension k by focusing on the all-one vector included in many practical codes. We also employ a population count instruction to compute joint weight of code words with a less number of instructions. Our algorithm is implemented on a multi-core CPU system and an NVIDIA GPU system using Open MP and compute unified device architecture (CUDA), respectively. We apply our implementation to a sub code of a (127,22) BCH code to evaluate the impact of acceleration.
Keywords :
BCH codes; binary codes; error statistics; graphics processing units; linear codes; parallel algorithms; BCH code; CUDA; NVIDIA GPU system; Open MP; all-one vector; binary linear code; code words; compute unified device architecture; decoding error probability; joint weight enumeration; multicore CPU system; network coding; parallel algorithm; population count instruction; Acceleration; Graphics processing units; Histograms; Instruction sets; Joints; Parallel algorithms; Vectors;
Conference_Titel :
Computing and Networking (CANDAR), 2014 Second International Symposium on
DOI :
10.1109/CANDAR.2014.23
