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Paper Abstract and Keywords
Presentation 2023-03-15 10:20
Efficient composition of encoding polynomial in distributed coded computing scheme
Daisuke Hibino, Tomoharu Shibuya (Sophia Univ.) IT2022-119 ISEC2022-98 WBS2022-116 RCC2022-116
Abstract (in Japanese) (See Japanese page) 
(in English) Distributed computing is one of the powerful solutions for computational tasks that need the massive size of dataset. Lagrange coded computing (LCC), proposed by Yu et al., realizes private and secure distributed computing under the existence of stragglers, malicious workers, and colluding workers by using an encoding polynomial. Since the encoding polynomial depends on a dataset, it must be updated every arrival of new dataset. Therefore, it is necessary to employ efficient algorithm to compose the encoding polynomial. In this paper, we propose Newton coded computing (NCC) which is based on Newton interpolation to compose the encoding polynomial.
Let K, L, and T be the number of data, the length of each data, and the number of colluding workers, respectively. Then, the computational complexity for composition of an encoding polynomial is improved from O(LN log^2(K+T) log log(K+T)) for LCC to O(L(K+T) log (K+T)) for the proposed method. Furthermore, by applying the proposed method, the computation complexity for updating the encoding polynomial is improved from O(LN log^2(K+T) log log(K+T)) for LCC to O(L) for the proposed method.
Keyword (in Japanese) (See Japanese page) 
(in English) distributed computing / Lagrange interpolation / Newton interpolation / polynomial evaluation / computational complexity / / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 427, IT2022-119, pp. 325-330, March 2023.
Paper # IT2022-119 
Date of Issue 2023-03-07 (IT, ISEC, WBS, RCC) 
ISSN Online edition: ISSN 2432-6380
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Download PDF IT2022-119 ISEC2022-98 WBS2022-116 RCC2022-116

Conference Information
Committee RCC ISEC IT WBS  
Conference Date 2023-03-14 - 2023-03-15 
Place (in Japanese) (See Japanese page) 
Place (in English)  
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Paper Information
Registration To IT 
Conference Code 2023-03-RCC-ISEC-IT-WBS 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Efficient composition of encoding polynomial in distributed coded computing scheme 
Sub Title (in English)  
Keyword(1) distributed computing  
Keyword(2) Lagrange interpolation  
Keyword(3) Newton interpolation  
Keyword(4) polynomial evaluation  
Keyword(5) computational complexity  
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1st Author's Name Daisuke Hibino  
1st Author's Affiliation Graduate school of Sophia University (Sophia Univ.)
2nd Author's Name Tomoharu Shibuya  
2nd Author's Affiliation Sophia University (Sophia Univ.)
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Speaker Author-1 
Date Time 2023-03-15 10:20:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2022-119, ISEC2022-98, WBS2022-116, RCC2022-116 
Volume (vol) vol.122 
Number (no) no.427(IT), no.428(ISEC), no.429(WBS), no.430(RCC) 
Page pp.325-330 
#Pages
Date of Issue 2023-03-07 (IT, ISEC, WBS, RCC) 


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