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Paper Abstract and Keywords
Presentation 2025-08-04 10:05
A Study on Some Encrypted Operations on Stochastic Numbers Using McEliece Cryptography over Prime Field
Haruhiko Kaneko (Science Tokyo) CPSY2025-24 DC2025-24 RECONF2025-24
Abstract (in Japanese) (See Japanese page) 
(in English) This report investigates a variation of McEliece public-key cryptography (PKC) designed to perform approximate computations on vectors of real-valued data.
The input vectors are transformed into planes of stochastic numbers.
Each plane is subsequently encrypted using a sparse random error vector and a cyclic code defined by a quasi-cyclic parity-check matrix over a prime field.
Specific operations are applied to the encrypted planes, and subsequently, the summation of subsets of encrypted planes is computed over the prime field.
The approximated computation results are extracted from the decrypted plane corresponding to the summed plane.
The method also employs a standard PKC to transmit the sparse error vectors from the sender to the receiver.
We present approximated computations of the polynomial value, matrix-product, and vector convolution.
The computation accuracy is evaluated through computer simulations.
Keyword (in Japanese) (See Japanese page) 
(in English) McEliece PKC / stochastic computing / cyclic code / non-binary code / matrix product / / /  
Reference Info. IEICE Tech. Rep., vol. 125, no. 143, DC2025-24, pp. 1-6, Aug. 2025.
Paper # DC2025-24 
Date of Issue 2025-07-28 (CPSY, DC, RECONF) 
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 CPSY2025-24 DC2025-24 RECONF2025-24

Conference Information
Committee CPSY DC RECONF IPSJ-ARC  
Conference Date 2025-08-04 - 2025-08-06 
Place (in Japanese) (See Japanese page) 
Place (in English) Sunport Hall Takamatsu 
Topics (in Japanese) (See Japanese page) 
Topics (in English) SWoPP2025: Parallel, Distributed and Cooperative Processing Systems and Dependable Computing 
Paper Information
Registration To DC 
Conference Code 2025-08-CPSY-DC-RECONF-ARC 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Study on Some Encrypted Operations on Stochastic Numbers Using McEliece Cryptography over Prime Field 
Sub Title (in English)  
Keyword(1) McEliece PKC  
Keyword(2) stochastic computing  
Keyword(3) cyclic code  
Keyword(4) non-binary code  
Keyword(5) matrix product  
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1st Author's Name Haruhiko Kaneko  
1st Author's Affiliation Institute of Science Tokyo (Science Tokyo)
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Speaker Author-1 
Date Time 2025-08-04 10:05:00 
Presentation Time 25 minutes 
Registration for DC 
Paper # CPSY2025-24, DC2025-24, RECONF2025-24 
Volume (vol) vol.125 
Number (no) no.142(CPSY), no.143(DC), no.144(RECONF) 
Page pp.1-6 
#Pages 6 
Date of Issue 2025-07-28 (CPSY, DC, RECONF) 

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