TY - GEN

T1 - A Study on Binary Sequences Located in Hadamard Matrices of Order 2n

AU - Nakano, Kasumi

AU - Takahashi, Kako

AU - Uehara, Satoshi

AU - Miyazaki, Takeru

AU - Araki, Shunsuke

AU - Nogami, Yasuyuki

N1 - Publisher Copyright:
© 2020 IEICE.

PY - 2020/10/24

Y1 - 2020/10/24

N2 - We show some properties of binary sequences located in Hadamard matrices of order 2〈n〉 represented by Sylvester's matrices. The Kronecker product is a method for expanding Hadamard matrix, and a set of sequences with orthogonal properties is extended by concatenation or interleaving. From these expanding methods and properties related to constructions, we discuss the increase of the set of orthogonal sequences. Finally, we show the characteristic polynomials of binary sequences located in Hadamard matrices of order 2〈n〉.

AB - We show some properties of binary sequences located in Hadamard matrices of order 2〈n〉 represented by Sylvester's matrices. The Kronecker product is a method for expanding Hadamard matrix, and a set of sequences with orthogonal properties is extended by concatenation or interleaving. From these expanding methods and properties related to constructions, we discuss the increase of the set of orthogonal sequences. Finally, we show the characteristic polynomials of binary sequences located in Hadamard matrices of order 2〈n〉.

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M3 - Conference contribution

AN - SCOPUS:85102649563

T3 - Proceedings of 2020 International Symposium on Information Theory and its Applications, ISITA 2020

SP - 460

EP - 464

BT - Proceedings of 2020 International Symposium on Information Theory and its Applications, ISITA 2020

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 16th International Symposium on Information Theory and its Applications, ISITA 2020

Y2 - 24 October 2020 through 27 October 2020

ER -