Design and error performance of punctured hadamard codes

Sheng Jiang, Francis C.M. Lau, Wai M. Tam, Chiu W. Sham

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

1 Citation (Scopus)


This paper investigates the puncturing pattern design of Hadamard codes. When designing the puncturing patterns, the minimum Hamming distance property and cross-correlation property of the punctured Hadamard codes are considered. The theoretical upper bound of the minimum Hamming distance is derived for the punctured Hadamard codes and an algorithm is subsequently proposed for searching punctured codes with the minimum distance approaching the bound. Another approach to design the punctured codes is to minimize the cross-correlations between punctured codewords. A new metric is defined to measure the overall severity of the cross-correlation based on which punctured codes with the 'lowest' cross-correlations are found. Simulation results show that both techniques are effective in searching for good punctured Hadamard codes. As expected, moreover, the punctured codes found by minimizing the cross-correlation outperform those optimized by maximizing minimum Hamming distance when a-posteriori-probability decoding is used.

Original languageEnglish
Title of host publication2017 23rd Asia-Pacific Conference on Communications
Subtitle of host publicationBridging the Metropolitan and the Remote, APCC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages5
ISBN (Electronic)9781740523905
Publication statusPublished - 11 Dec 2017
Event23rd Asia-Pacific Conference on Communications, APCC 2017 - Perth, Australia
Duration: 11 Dec 201713 Dec 2017

Publication series

Name2017 23rd Asia-Pacific Conference on Communications: Bridging the Metropolitan and the Remote, APCC 2017


Conference23rd Asia-Pacific Conference on Communications, APCC 2017

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Signal Processing


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