Paper Abstract and Keywords |
Presentation |
2023-06-09 14:20
Sequence period of sequences generated by fourth-order reccurence relations with two variables over Z 2k Daisaburo Yoshioka (Sojo Univ.) NLP2023-25 CCS2023-13 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In recent years, a public-key cryptosystem based on Chebyshev polynomials over the residue ring of modulo 2k has been presented. Unfortunately, however, the cryptosystem is broken using the knowledge of periodic properties of Chebyshev polynomials. Commutative polynomials defined by recurrence relations with two variables can be candidates for the cryptosystem instead of Chebyshev polynomials. Sequences obtained such polynomials
over finite rings or fields should be eventually periodic. One-to-one mapping is necessary for cryptographic applications because decryption goes well. In this study, we first derive conditions for the commutative polynomials with
two variables to be one-to-one mapping. Then, sequence period of sequences obtained by iterating the commutative polynomials with two variables over Z2k is also analyzed. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
commutative polynomials / cryptography / sequence / period / permutation polynomials / / / |
Reference Info. |
IEICE Tech. Rep., vol. 123, no. 66, NLP2023-25, pp. 53-56, June 2023. |
Paper # |
NLP2023-25 |
Date of Issue |
2023-06-01 (NLP, CCS) |
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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NLP2023-25 CCS2023-13 |
Conference Information |
Committee |
CCS NLP |
Conference Date |
2023-06-08 - 2023-06-09 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Tokyo City Univ. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
CCS, NLP, etc. |
Paper Information |
Registration To |
NLP |
Conference Code |
2023-06-CCS-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Sequence period of sequences generated by fourth-order reccurence relations with two variables over Z 2k |
Sub Title (in English) |
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Keyword(1) |
commutative polynomials |
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cryptography |
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sequence |
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period |
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permutation polynomials |
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1st Author's Name |
Daisaburo Yoshioka |
1st Author's Affiliation |
Sojo University (Sojo Univ.) |
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Speaker |
Author-1 |
Date Time |
2023-06-09 14:20:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2023-25, CCS2023-13 |
Volume (vol) |
vol.123 |
Number (no) |
no.66(NLP), no.67(CCS) |
Page |
pp.53-56 |
#Pages |
4 |
Date of Issue |
2023-06-01 (NLP, CCS) |
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