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Paper Abstract and Keywords
Presentation 2021-10-19 13:30
Design of NTT Hardware Based on K-RED for Lattice-Based Cryptography
Yuma Itabashi, Rei Ueno, Naofumi Homma (Tohoku Univ.) HWS2021-46 ICD2021-20
Abstract (in Japanese) (See Japanese page) 
(in English) This paper presents an efficient hardware that efficiently performs Number Theoretic Transform(NTT) which is a dominant operation of lattice-based cryptography.
First, we propose an efficient modulo multiplication method specified for lattice-based cryptography defined by operations over Pross prime numbers.
The proposed method divides the intermediate result (i.e., a signed integer) into the sign bit and the other lower bits, and handles them independently, which can reduce the implementation cost significantly.
Then, we show a butterfly operation unit datapath that efficiently realizes NTT using the proposed modulo multiplication.
In particular, we show that we can avoid the constant coefficients multiplication required in inverse NTT by multiplying twiddle factors in NTT by appropriate constant coefficients in advance.
Finally, we apply the proposed NTT hardware for Kyber, which is one of the cutting-edge lattice-based cryptography, and evaluate its performance on Xilinx Artix-7. The results show that the proposed NTT hardware is about 1.3 times more efficient in terms of area time products(ATP) than the existing method.
Keyword (in Japanese) (See Japanese page) 
(in English) post-quantum cryptography / lattice-based cryptography / number theoretic transform / K-reduction / / / /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 206, HWS2021-46, pp. 26-31, Oct. 2021.
Paper # HWS2021-46 
Date of Issue 2021-10-12 (HWS, ICD) 
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)
Download PDF HWS2021-46 ICD2021-20

Conference Information
Committee HWS ICD  
Conference Date 2021-10-19 - 2021-10-19 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Hardware Security, etc. 
Paper Information
Registration To HWS 
Conference Code 2021-10-HWS-ICD 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Design of NTT Hardware Based on K-RED for Lattice-Based Cryptography 
Sub Title (in English)  
Keyword(1) post-quantum cryptography  
Keyword(2) lattice-based cryptography  
Keyword(3) number theoretic transform  
Keyword(4) K-reduction  
Keyword(5)  
Keyword(6)  
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1st Author's Name Yuma Itabashi  
1st Author's Affiliation Tohoku University (Tohoku Univ.)
2nd Author's Name Rei Ueno  
2nd Author's Affiliation Tohoku University (Tohoku Univ.)
3rd Author's Name Naofumi Homma  
3rd Author's Affiliation Tohoku University (Tohoku Univ.)
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Speaker Author-1 
Date Time 2021-10-19 13:30:00 
Presentation Time 25 minutes 
Registration for HWS 
Paper # HWS2021-46, ICD2021-20 
Volume (vol) vol.121 
Number (no) no.206(HWS), no.207(ICD) 
Page pp.26-31 
#Pages 6 
Date of Issue 2021-10-12 (HWS, ICD) 

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