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 and 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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IT2022-66 SIP2022-117 RCS2022-245 |
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 |
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(See Japanese page) |
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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) |
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Hadamard-type Matrix |
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finite field |
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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 |
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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 |
6 |
Date of Issue |
2023-01-17 (IT, SIP, RCS) |
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