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Paper Abstract and Keywords
Presentation 2015-06-13 08:30
Fast Search Method for Moat Problems on Prime Elements in Imaginary Quadratic Fields
Shinji Kinoshita, Hajime Matsui (TTI) COMP2015-10
Abstract (in Japanese) (See Japanese page) 
(in English) The moat problems on prime elements in imaginary quadratic fields are unsolved problems that ``Can one walk to infinity on prime elements in imaginary quadratic fields taking steps within bounded length?''When one cannot walk to infinity taking steps within k, it is said that there exists a moat of k. The previous researches have aimed to find moats of larger k's. In this research, we have confirmed the existence of moats of larger k's by applying wall follower algorithm.
Keyword (in Japanese) (See Japanese page) 
(in English) Gaussian primes / Eisenstein primes / primary test / wall follower algorithm / / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 84, COMP2015-10, pp. 67-74, June 2015.
Paper # COMP2015-10 
Date of Issue 2015-06-05 (COMP) 
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 COMP2015-10

Conference Information
Committee COMP IPSJ-AL  
Conference Date 2015-06-12 - 2015-06-13 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
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Paper Information
Registration To COMP 
Conference Code 2015-06-COMP-AL 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Fast Search Method for Moat Problems on Prime Elements in Imaginary Quadratic Fields 
Sub Title (in English)  
Keyword(1) Gaussian primes  
Keyword(2) Eisenstein primes  
Keyword(3) primary test  
Keyword(4) wall follower algorithm  
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1st Author's Name Shinji Kinoshita  
1st Author's Affiliation Toyota Technological Institute (TTI)
2nd Author's Name Hajime Matsui  
2nd Author's Affiliation Toyota Technological Institute (TTI)
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Speaker Author-1 
Date Time 2015-06-13 08:30:00 
Presentation Time 25 minutes 
Registration for COMP 
Paper # COMP2015-10 
Volume (vol) vol.115 
Number (no) no.84 
Page pp.67-74 
#Pages 8 
Date of Issue 2015-06-05 (COMP) 

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