Journal of Civil Aviation University of China ›› 2019, Vol. 37 ›› Issue (4): 57-59.

• Basic Science • Previous Articles     Next Articles

Stopping distance of finite geometry LDPC codes over binary field#br#

GAO You, MA He#br#   

  1. (College of Science, CAUC, Tianjin 300300, China)
  • Online:2019-08-23 Published:2020-04-01

Abstract: Stopping distance is an important parameter in the analysis of LDPC code performance under iterative decoding on a binary erasure channel. To study the stopping distance of finite geometry LDPC code over binary field, it is necessary to find a minimum stopping set from the parity -check matrix of the codes. According to the lower bound of stopping distance of finite geometry LDPC codes, a stopping set which reaches the lower bound is found by using the geometric properties of affine space and projective space. Then the stopping distance of finite geometry LDPC codes over binary filed in some special cases is obtained.

Key words: LDPC code, affine space, projective space, stopping set, stopping distance

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