Presentation 2024-01-18
A Proposal to Improve the Accuracy of BKW Algorithm
Yuto Ko, Bagus Santoso,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) The Blum-Kalai-Wasserman (BKW) algorithm is widely known as an algorithm for solving the Learning Parity with Noise (LPN) problem. The BKW algorithm includes the following process at a certain stage: the input set of vectors is divided into several sets according to certain features, a specific vector is selected for each set, and a linear transformation is performed using this vector. In the existing BKW algorithm, the specific vector is selected according to a uniform distribution. Our research focuses on the possibility that the method of selecting this particular vector may affect the accuracy of the solution of the LPN problem output by the BKW algorithm. This paper proposes a new method for selecting the specific vectors and evaluates the accuracy of the outputs of the modified BKW algorithm which employs the new method through machine experiments. Compared with the existing BKW algorithm, we can confirm the improvement of accuracy by the proposed method.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) LPN Problem / BKW Algorithm
Paper # IT2023-41,SIP2023-74,RCS2023-216
Date of Issue 2024-01-11 (IT, SIP, RCS)

Conference Information
Committee SIP / IT / RCS
Conference Date 2024/1/18(2days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Takayuki Nakachi(Ryukyu Univ.) / Tetsuya Kojima(Tokyo Kosen) / Kenichi Higuchi(Tokyo Univ. of Science)
Vice Chair Koichi Ichige(Yokohama National Univ.) / Kiyoshi Nishikawa(okyo Metropolitan Univ.) / Yasuyuki Nogami(Okayama Univ.) / Fumihide Kojima(NICT) / Osamu Muta(Kyushu Univ.) / Naoto Ishii(NEC)
Secretary Koichi Ichige(Chiba Univ.) / Kiyoshi Nishikawa(Kogakuin Univ.) / Yasuyuki Nogami(Waseda Univ.) / Fumihide Kojima(Nagaoka Univ. of Tech.) / Osamu Muta(Univ. of Electro-Comm) / Naoto Ishii(Sharp)
Assistant Taichi Yoshida(UEC) / Sayaka Shiota(Tokyo Metropolitan Univ.) / Tetsunao Matsuta(Saitamai Univ.) / Masashi Iwabuchi(NTT) / Issei Kanno(KDDI Research) / Yuyuan Chang(Tokyo Inst. of Tech) / Kazuki Maruta(Tokyo Univ. of Science) / Kiichi Tateishi(NTT Docomo)

Paper Information
Registration To Technical Committee on Signal Processing / Technical Committee on Information Theory / Technical Committee on Radio Communication Systems
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Proposal to Improve the Accuracy of BKW Algorithm
Sub Title (in English)
Keyword(1) LPN Problem
Keyword(2) BKW Algorithm
1st Author's Name Yuto Ko
1st Author's Affiliation The University of Electro-Communications(UEC)
2nd Author's Name Bagus Santoso
2nd Author's Affiliation The University of Electro-Communications(UEC)
Date 2024-01-18
Paper # IT2023-41,SIP2023-74,RCS2023-216
Volume (vol) vol.123
Number (no) IT-338,SIP-339,RCS-340
Page pp.pp.62-67(IT), pp.62-67(SIP), pp.62-67(RCS),
#Pages 6
Date of Issue 2024-01-11 (IT, SIP, RCS)