Designs, Codes and Cryptography
Volume 44, Numbers 1-3, 209-216, DOI: 10.1007/s10623-007-9088-z

Golay complementary array pairs

Jonathan Jedwab and Matthew G. Parker

From the issue entitled "Special Issue Dedicated to Dan Hughes for his 80th Birthday, Guest Editors: Dina Ghinelli, James Hirschfeld and Dieter Jungnickel"

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Abstract

Constructions and nonexistence conditions for multi-dimensional Golay complementary array pairs are reviewed. A construction for a d-dimensional Golay array pair from a (d + 1)-dimensional Golay array pair is given. This is used to explain and expand previously known constructive and nonexistence results in the binary case.

Keywords  Array - Binary - Complementary - Complex-valued - Construction - Golay - Multi-dimensional - Nonexistence - Sequence

AMS Classifications  05B20 - 94A05

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