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| Presentation | 2015-03-03 10:55 On Linear Complexity of Constant-Weight Sequences over Extension Fields -- With Correction for Numerical Examples Presented on SCIS2015 -- Takayasu Kaida (Kinki Univ.), Junru Zheng (Kyushu Women's University), Keiichi Takahashi (Kinki Univ.)  IT2014-94 ISEC2014-107 WBS2014-86 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | The authors proposed constant-weight sequences over multi-value generalized form binary constant-weight sequences by Li, et.al., and reported some examples that almost sequences over $GF(5)$ in a set of constant-weight sequences have highest linear complexities. In this paper, we consider some construction methods over extension fields. In contrast to prime fields, we need to define a map from modulo $Z_q$ to an extension field $GF(q)$, where $q=p^m$ with a prime $p$ and a positive integer $m>2$. By our definition of such a map, the method of construction is given clearer than conventional one. Moreover it reported that almost sequences in some sets of constant-weight sequence over extension fields have very large linear complexities as same as the case of prime field. Some corrections to a part of numerical examples in the paper presented at the 2015 Symposium on Cryptography and Information Security(SCIS2015) are also given. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | pseudo-random sequence / balanced sequence set / cyclic difference set / linear complexity / SCIS2015 / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 114, no. 470, IT2014-94, pp. 205-210, March 2015. | |
| Paper # | IT2014-94 | |
| Date of Issue | 2015-02-23 (IT, ISEC, WBS) | |
| ISSN | Print edition: ISSN 0913-5685 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) | |
| Download PDF | IT2014-94 ISEC2014-107 WBS2014-86 |
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| Conference Information | |
| Committee | ISEC IT WBS |
| Conference Date | 2015-03-02 - 2015-03-03 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | The University of Kitakyushu |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | joint meeting of IT, ISEC, and WBS |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2015-03-ISEC-IT-WBS |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On Linear Complexity of Constant-Weight Sequences over Extension Fields |
| Sub Title (in English) | With Correction for Numerical Examples Presented on SCIS2015 |
| Keyword(1) | pseudo-random sequence |
| Keyword(2) | balanced sequence set |
| Keyword(3) | cyclic difference set |
| Keyword(4) | linear complexity |
| Keyword(5) | SCIS2015 |
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| Keyword(8) | |
| 1st Author's Name | Takayasu Kaida |
| 1st Author's Affiliation | Kinki University (Kinki Univ.) |
| 2nd Author's Name | Junru Zheng |
| 2nd Author's Affiliation | Kyushu Women's University (Kyushu Women's University) |
| 3rd Author's Name | Keiichi Takahashi |
| 3rd Author's Affiliation | Kinki University (Kinki Univ.) |
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| Speaker | Author-1 |
| Date Time | 2015-03-03 10:55:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2014-94, ISEC2014-107, WBS2014-86 |
| Volume (vol) | vol.114 |
| Number (no) | no.470(IT), no.471(ISEC), no.472(WBS) |
| Page | pp.205-210 |
| #Pages | 6 |
| Date of Issue | 2015-02-23 (IT, ISEC, WBS) |
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