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Paper Abstract and Keywords
Presentation 2026-05-26 11:30
[Invited Talk] Proposal of An SVP Solver on Prime Cyclotomic Lattices (from ProvSec 2025)
Kazutaka Toda, Yuntao Wang (UEC) ISEC2026-4
Abstract (in Japanese) (See Japanese page) 
(in English) In this invited talk, we introduce the paper "Proposal of An SVP Solver on Prime Cyclotomic Lattices" by Kazutaka Toda and Yuntao Wang, presented at ProvSec 2025 in Yokohama, Japan, from October 10 to 12, 2025.
Numerous algorithms have been proposed for solving SVP, among which the G6K is known as a highly efficient approach. However, its time and space complexities are both exponential, making it difficult to apply in high-dimensional settings.
In this work, we propose a hybrid method called ESR, which integrates ENUM with G6K, and its improved variant, ESR 2.0. In ESR 2.0, we incorporate BKZ 2.0 and extreme pruning ENUM, and introduce a sub-basis generation technique based on unimodular matrices.
Using ESR 2.0, we establish new records for multiple dimensions up to 156 in the Ideal Lattice Challenge.
Keyword (in Japanese) (See Japanese page) 
(in English) Post-Quantum Cryptography / Ideal Lattice / Shortest Vector Problem / Sieve Algorithms / / / /  
Reference Info. IEICE Tech. Rep., vol. 126, no. 40, ISEC2026-4, pp. 4-4, May 2026.
Paper # ISEC2026-4 
Date of Issue 2026-05-19 (ISEC) 
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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Conference Information
Committee ISEC  
Conference Date 2026-05-26 - 2026-05-26 
Place (in Japanese) (See Japanese page) 
Place (in English) Kikai-Shinko-Kaikan Bldg. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2026-05-ISEC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Proposal of An SVP Solver on Prime Cyclotomic Lattices (from ProvSec 2025) 
Sub Title (in English)  
Keyword(1) Post-Quantum Cryptography  
Keyword(2) Ideal Lattice  
Keyword(3) Shortest Vector Problem  
Keyword(4) Sieve Algorithms  
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Keyword(6)  
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Keyword(8)  
1st Author's Name Kazutaka Toda  
1st Author's Affiliation The University of Electro-Communications (UEC)
2nd Author's Name Yuntao Wang  
2nd Author's Affiliation The University of Electro-Communications (UEC)
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Speaker Author-1 
Date Time 2026-05-26 11:30:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2026-4 
Volume (vol) vol.126 
Number (no) no.40 
Page p.4 
#Pages 1 
Date of Issue 2026-05-19 (ISEC) 

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