Designs, Codes and Cryptography

, Volume 43, Issue 2–3, pp 93–101 | Cite as

Butson Hadamard matrices with partially cyclic core

  • Ji-Woong Jang
  • Jong-Seon No
  • Habong Chung


In this paper, we introduce a class of generalized Hadamard matrices, called a Butson Hadamard matrix with partially cyclic core. Then a new construction method for Butson Hadamard matrices with partially cyclic core is proposed. The proposed matrices are constructed from the optimal balanced low-correlation zone(LCZ) sequence set which has correlation value −1 within LCZ.


Butson Hadamard matrices with partially cyclic core Generalized Hadamard matrices Hadamard matrices Low-correlation zone(LCZ) sequence sets Sequences 

AMS Classifications

05B20 94A55 


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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.School of Electrical Engineering and Computer ScienceSeoul National UniversitySeoulKorea
  2. 2.School of Electronics and Electrical EngineeringHongik UniversitySeoulKorea

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