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Paper Abstract and Keywords
Presentation 2023-01-25 14:10
Cyclic Hadamard-type Matrices on Finite Fields and Their Properties
Iori Kodama, Tetsuya Kojima (NIT, Tokyo College) IT2022-66 SIP2022-117 RCS2022-245
Abstract (in Japanese) (See Japanese page) 
(in English) Hadamard matrix is defined as a square matrix where any components are −1 or +1, and where any pairs of rows are mutually orthogonal. Hadamard-type matrix is defined as a similar matrix on finite field GF(p) where p is an odd prime. In such a matrix, every component is one of the integers on GF(p)∖{0}, that is,{1,2,…,p-1}. Any additions and multiplications should be executed under modulo p. The authors have proposed a method to generate such matrices, and applied them to generate n-shift orthogonal sequences and complete complementary codes. In this study, we introduce some new Hadamard-type matrices found in computer search as well as their properties. Specifically, we are concerned about cyclic Hadamard-type matrices on finite fields. The conditions for obtaining these new matrices are also discussed.
Keyword (in Japanese) (See Japanese page) 
(in English) Hadamard-type Matrix / finite field / cyclic matrix / / / / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 355, IT2022-66, pp. 211-216, Jan. 2023.
Paper # IT2022-66 
Date of Issue 2023-01-17 (IT, SIP, RCS) 
ISSN Online edition: ISSN 2432-6380
Copyright
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reproduction
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee IT RCS SIP  
Conference Date 2023-01-24 - 2023-01-25 
Place (in Japanese) (See Japanese page) 
Place (in English) Maebashi Terrsa 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To IT 
Conference Code 2023-01-IT-RCS-SIP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Cyclic Hadamard-type Matrices on Finite Fields and Their Properties 
Sub Title (in English)  
Keyword(1) Hadamard-type Matrix  
Keyword(2) finite field  
Keyword(3) cyclic matrix  
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1st Author's Name Iori Kodama  
1st Author's Affiliation National Institute of Technology, Tokyo College (NIT, Tokyo College)
2nd Author's Name Tetsuya Kojima  
2nd Author's Affiliation National Institute of Technology, Tokyo College (NIT, Tokyo College)
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Speaker Author-1 
Date Time 2023-01-25 14:10:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2022-66, SIP2022-117, RCS2022-245 
Volume (vol) vol.122 
Number (no) no.355(IT), no.356(SIP), no.357(RCS) 
Page pp.211-216 
#Pages
Date of Issue 2023-01-17 (IT, SIP, RCS) 


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