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Paper Abstract and Keywords
Presentation 2025-03-06 14:05
(Quasi-)Linear-Time Algorithms for the Closest Vector Problem in Equiangular Lattices
Kenta Takahashi, Wataru Nakamura (Hitachi) IT2024-117 ISEC2024-131 WBS2024-114 RCC2024-119
Abstract (in Japanese) (See Japanese page) 
(in English) In this paper, we define novel classes of lattices {it equiangular lattice}.
Then we propose a novel algorithm for solving the closest vector problem in the equiangular lattice with $O(n log n)$-time. Furthermore, we develop improved algorithms with $O(n)$-time for slightly restricted classes of the equiangular lattice.
The equiangular lattice includes the well-studied root lattice $A_n$ (a.k.a. {it triangular lattice} or {it hexagonal lattice}) and its dual $A_n^*$.
We also discuss the relationship with existing algorithms for these lattice classes.
Keyword (in Japanese) (See Japanese page) 
(in English) Lattice / Triangular lattice / Equiangular lattice / Closest Vector Problem / Algorithm / / /  
Reference Info. IEICE Tech. Rep., vol. 124, no. 396, IT2024-117, pp. 284-289, March 2025.
Paper # IT2024-117 
Date of Issue 2025-02-26 (IT, ISEC, WBS, RCC) 
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)
Notes on Review This article is a technical report without peer review, and its polished version will be published elsewhere.
Download PDF IT2024-117 ISEC2024-131 WBS2024-114 RCC2024-119

Conference Information
Committee WBS ISEC IT RCC  
Conference Date 2025-03-05 - 2025-03-06 
Place (in Japanese) (See Japanese page) 
Place (in English) Nakanoshima Center, Osaka University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Joint Workshop of ISEC, IT, RCC, and WBS 
Paper Information
Registration To IT 
Conference Code 2025-03-WBS-ISEC-IT-RCC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) (Quasi-)Linear-Time Algorithms for the Closest Vector Problem in Equiangular Lattices 
Sub Title (in English)  
Keyword(1) Lattice  
Keyword(2) Triangular lattice  
Keyword(3) Equiangular lattice  
Keyword(4) Closest Vector Problem  
Keyword(5) Algorithm  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Kenta Takahashi  
1st Author's Affiliation Hitachi, Ltd. (Hitachi)
2nd Author's Name Wataru Nakamura  
2nd Author's Affiliation Hitachi, Ltd. (Hitachi)
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Speaker Author-1 
Date Time 2025-03-06 14:05:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2024-117, ISEC2024-131, WBS2024-114, RCC2024-119 
Volume (vol) vol.124 
Number (no) no.396(IT), no.397(ISEC), no.398(WBS), no.399(RCC) 
Page pp.284-289 
#Pages 6 
Date of Issue 2025-02-26 (IT, ISEC, WBS, RCC) 

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