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

Kasumi Nakano, Kako Takahashi, Satoshi Uehara, Takeru Miyazaki, Shunsuke Araki, Yasuyuki Nogami

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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〉.

Original languageEnglish
Title of host publicationProceedings of 2020 International Symposium on Information Theory and its Applications, ISITA 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages460-464
Number of pages5
ISBN (Electronic)9784885523304
Publication statusPublished - Oct 24 2020
Event16th International Symposium on Information Theory and its Applications, ISITA 2020 - Virtual, Kapolei, United States
Duration: Oct 24 2020Oct 27 2020

Publication series

NameProceedings of 2020 International Symposium on Information Theory and its Applications, ISITA 2020

Conference

Conference16th International Symposium on Information Theory and its Applications, ISITA 2020
Country/TerritoryUnited States
CityVirtual, Kapolei
Period10/24/2010/27/20

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computer Science Applications
  • Information Systems
  • Software
  • Theoretical Computer Science

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