New constructions of quaternary hadamard matrices

  • Authors:
  • Ji-Woong Jang;Sang-Hyo Kim;Jong-Seon No;Habong Chung

  • Affiliations:
  • School of Electrical Engineering and Computer Science, Seoul National University, Seoul, Korea;School of Electrical Engineering and Computer Science, Seoul National University, Seoul, Korea;School of Electrical Engineering and Computer Science, Seoul National University, Seoul, Korea;School of Electronics and Electrical Engineering, Hong-Ik University, Seoul, Korea

  • Venue:
  • SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
  • Year:
  • 2004

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Abstract

In this paper, we propose two new construction methods for quaternary Hadamard matrices. By the first method, which is applicable for any positive integer n, we are able to construct a quaternary Hadamard matrix of order 2n from a binary sequence with ideal autocorrelation. The second method also gives us a quaternary Hadamard matrix of order 2n from a binary extended sequence of period 2n – 1, where n is a composite number.