English

A Method to determine Partial Weight Enumerator for Linear Block Codes

Information Theory 2012-12-27 v1 math.IT

Abstract

In this paper we present a fast and efficient method to find partial weight enumerator (PWE) for binary linear block codes by using the error impulse technique and Monte Carlo method. This PWE can be used to compute an upper bound of the error probability for the soft decision maximum likelihood decoder (MLD). As application of this method we give partial weight enumerators and analytical performances of the BCH(130,66), BCH(103,47) and BCH(111,55) shortened codes; the first code is obtained by shortening the binary primitive BCH (255,191,17) code and the two other codes are obtained by shortening the binary primitive BCH(127,71,19) code. The weight distributions of these three codes are unknown at our knowledge.

Keywords

Cite

@article{arxiv.1212.6086,
  title  = {A Method to determine Partial Weight Enumerator for Linear Block Codes},
  author = {Said Nouh and Bouchaib Aylaj and Mostafa Belkasmi},
  journal= {arXiv preprint arXiv:1212.6086},
  year   = {2012}
}

Comments

Computer Engineering and Intelligent Systems Vol 3, No.11, 2012

R2 v1 2026-06-21T23:00:09.168Z