Cryptanalysis of a public key cryptosystem based on diophantine equations via weighted LLL reduction

Jintai Ding, Momonari Kudo, Shinya Okumura, Tsuyoshi Takagi, Chengdong Tao

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

抄録

Okumura proposed a candidate of post-quantum cryptosystem based on Diophantine equations of degree increasing type (DEC). Sizes of public keys in DEC are small, e.g., 1,200 bits for 128 bit security, and it is a strongly desired property in post-quantum erea. In this paper, we propose a polynomial time attack against DEC. We show that the one-wayness of DEC is reduced to finding special (relatively) short vectors in some lattices. The usual LLL algorithm does not work well for finding the most important target vector in our attack. The most technical point of our method is to heuristically find a special norm called a weighted norm to find the most important target vector. We call this method "weighted LLL algorithm" in this paper. Our experimental results suggest that our attack can break the one-wayness of DEC for 128 bit security with sufficiently high probability.

本文言語英語
ホスト出版物のタイトルAdvances in Information and Computer Security - 11th International Workshop on Security, IWSEC 2016, Proceedings
編集者Katsunari Yoshioka, Kazuto Ogawa
出版社Springer Verlag
ページ305-315
ページ数11
ISBN(印刷版)9783319445236
DOI
出版ステータス出版済み - 2016
イベント11th International Workshop on Security on Advances in Information and Computer Security, IWSEC 2016 - Tokyo, 日本
継続期間: 9 12 20169 14 2016

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
9836 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

その他

その他11th International Workshop on Security on Advances in Information and Computer Security, IWSEC 2016
国/地域日本
CityTokyo
Period9/12/169/14/16

All Science Journal Classification (ASJC) codes

  • 理論的コンピュータサイエンス
  • コンピュータ サイエンス(全般)

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