On the security of a modified paillier public-key primitive

Kouichi Sakurai, Tsuyoshi Takagi

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

3 被引用数 (Scopus)

抄録

Choi et al. proposed the modified Paillier cryptosystem (M-Paillier cryptosystem). They use a special public-key g ∈ ZZ/nZZ such that gϕ(n) = 1+n mod n2, where n is the RSA modulus. The distribution of the public key g is different from that of the original one. In this paper, we study the security of the usage of the public key. Firstly, we prove that the one-wayness of the M-Paillier cryptosystem is as intractable as factoring the modulus n, if the public key g can be generated only by the public modulus n. Secondly, we prove that the oracle that can generate the public-key factors the modulus n. Thus the public keys cannot be generated without knowing the factoring of n. The Paillier cryptosystem can use the public key g = 1+n, which is generated only from the public modulus n. Thirdly, we propose a chosen ciphertext attack against the M-Paillier cryptosystem. Our attack can factor the modulus n by only one query to the decryption oracle. This type of total breaking attack has not been reported for the original Paillier cryptosystem. Finally, we discuss the relationship between the M-Paillier cryptosystem and the Okamoto-Uchiyama scheme.

本文言語英語
ホスト出版物のタイトルInformation Security and Privacy - 7th Australasian Conference, ACISP 2002, Proceedings
編集者Lynn Batten, Jennifer Seberry
出版社Springer Verlag
ページ436-448
ページ数13
ISBN(印刷版)3540438610, 9783540438618
DOI
出版ステータス出版済み - 2002
イベント7th Australasian Conference on Information Security and Privacy, ACISP 2002 - Melbourne, オーストラリア
継続期間: 7 3 20027 5 2002

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)
2384
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

その他

その他7th Australasian Conference on Information Security and Privacy, ACISP 2002
国/地域オーストラリア
CityMelbourne
Period7/3/027/5/02

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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