IEICE Technical Committee Submission System
Conference Paper's Information		 Online Proceedings
[Sign in]
Tech. Rep. Archives
 Go Top Page Go Previous   [Japanese] / [English] 

Paper Abstract and Keywords
Presentation 2021-11-30 13:30
[Poster Presentation] Attacks on Search Ring-LWE Problem by Trace Map on Finite Field
Tomoka Takahashi, Sinya Okumura, Atsuko Miyaji (Osaka Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) The Ring-Learning with Error (Ring-LWE) has attracted a great deal of attention because it is quantum-resistant and can be used to construct homomorphic cryptosystems. Chen et al. proposed a search attack that reduces the search area by converting the Ring-LWE problem into a problem on a small finite field. On the other hand, Chen and Okumura et al. proposed improved attack methods using Frobenius map and Trace map when the relative degree of modulus primes in underlying number fields is even. However, there is no known attack method for the case of odd relative degree.
In this study, we extend the scope of the attack to arbitrary relative degree using Trace map, and also propose a search attack with appropriate samples in the case of composite numbers. Experiments were conducted on special algebraic number field vulnerable to these attacks, and the usefulness of our attacks was confirmed.
Keyword (in Japanese) (See Japanese page) 
(in English) post-quantum cryptograph / Ring-LWE / search attack / Trace Map / finite field / / /  
Reference Info. IEICE Tech. Rep.
Paper #  
Date of Issue  
ISSN  
Download PDF

Conference Information
Committee QIT  
Conference Date 2021-11-30 - 2021-12-01 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2021-11-QIT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Attacks on Search Ring-LWE Problem by Trace Map on Finite Field 
Sub Title (in English)  
Keyword(1) post-quantum cryptograph  
Keyword(2) Ring-LWE  
Keyword(3) search attack  
Keyword(4) Trace Map  
Keyword(5) finite field  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Tomoka Takahashi  
1st Author's Affiliation Osaka University (Osaka Univ.)
2nd Author's Name Sinya Okumura  
2nd Author's Affiliation Osaka University (Osaka Univ.)
3rd Author's Name Atsuko Miyaji  
3rd Author's Affiliation Osaka University (Osaka Univ.)
4th Author's Name  
4th Author's Affiliation ()
5th Author's Name  
5th Author's Affiliation ()
6th Author's Name  
6th Author's Affiliation ()
7th Author's Name  
7th Author's Affiliation ()
8th Author's Name  
8th Author's Affiliation ()
9th Author's Name  
9th Author's Affiliation ()
10th Author's Name  
10th Author's Affiliation ()
11th Author's Name  
11th Author's Affiliation ()
12th Author's Name  
12th Author's Affiliation ()
13th Author's Name  
13th Author's Affiliation ()
14th Author's Name  
14th Author's Affiliation ()
15th Author's Name  
15th Author's Affiliation ()
16th Author's Name  
16th Author's Affiliation ()
17th Author's Name  
17th Author's Affiliation ()
18th Author's Name  
18th Author's Affiliation ()
19th Author's Name  
19th Author's Affiliation ()
20th Author's Name  
20th Author's Affiliation ()
Speaker Author-1 
Date Time 2021-11-30 13:30:00 
Presentation Time 120 minutes 
Registration for QIT 
Paper #  
Volume (vol) vol. 
Number (no)  
Page  
#Pages  
Date of Issue  

[Return to Top Page]

[Return to IEICE Web Page]
The Institute of Electronics, Information and Communication Engineers (IEICE), Japan