An Improvement on the Linear Algebraic Attack for the Indeterminate Equation Encryption Scheme

Yasuhiko Ikematsu, Koichiro Akiyama, Tsuyoshi Takagi

研究成果: 著書/レポートタイプへの貢献会議での発言

抄録

At SAC2017, Akiyama et al. proposed the indeterminate equation encryption scheme whose security is based on a solution problem of indeterminate equation. It is an extension of algebraic surface encryption scheme. A public key X for this scheme is a polynomial in two variables over a finite ring. Akiyama et al. also proposed two attacks, the linear algebraic attack (LAA) and the key recovery attack (KRA), by using the lattice structure associated with this scheme. In this paper, we give an improvement on LAA. Also we explain the relation between our improvement and the improvement on LAA proposed by Xagawa and examine parameters that those attacks fail by experiments. As a result, we conclude that if the total degree of the public key X is one, then KRA is more efficient than LAA and if that of X is two, then LAA is more efficient than KRA.

元の言語英語
ホスト出版物のタイトルProceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018
出版者Institute of Electrical and Electronics Engineers Inc.
ページ389-393
ページ数5
ISBN(電子版)9784885523182
DOI
出版物ステータス出版済み - 3 8 2019
外部発表Yes
イベント15th International Symposium on Information Theory and Its Applications, ISITA 2018 - Singapore, シンガポール
継続期間: 10 28 201810 31 2018

出版物シリーズ

名前Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018

会議

会議15th International Symposium on Information Theory and Its Applications, ISITA 2018
シンガポール
Singapore
期間10/28/1810/31/18

Fingerprint

Cryptography
Recovery
Polynomials
Experiments

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Information Systems

これを引用

Ikematsu, Y., Akiyama, K., & Takagi, T. (2019). An Improvement on the Linear Algebraic Attack for the Indeterminate Equation Encryption Scheme. : Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018 (pp. 389-393). [8664254] (Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ISITA.2018.8664254

An Improvement on the Linear Algebraic Attack for the Indeterminate Equation Encryption Scheme. / Ikematsu, Yasuhiko; Akiyama, Koichiro; Takagi, Tsuyoshi.

Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018. Institute of Electrical and Electronics Engineers Inc., 2019. p. 389-393 8664254 (Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018).

研究成果: 著書/レポートタイプへの貢献会議での発言

Ikematsu, Y, Akiyama, K & Takagi, T 2019, An Improvement on the Linear Algebraic Attack for the Indeterminate Equation Encryption Scheme. : Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018., 8664254, Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018, Institute of Electrical and Electronics Engineers Inc., pp. 389-393, 15th International Symposium on Information Theory and Its Applications, ISITA 2018, Singapore, シンガポール, 10/28/18. https://doi.org/10.23919/ISITA.2018.8664254
Ikematsu Y, Akiyama K, Takagi T. An Improvement on the Linear Algebraic Attack for the Indeterminate Equation Encryption Scheme. : Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018. Institute of Electrical and Electronics Engineers Inc. 2019. p. 389-393. 8664254. (Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018). https://doi.org/10.23919/ISITA.2018.8664254
Ikematsu, Yasuhiko ; Akiyama, Koichiro ; Takagi, Tsuyoshi. / An Improvement on the Linear Algebraic Attack for the Indeterminate Equation Encryption Scheme. Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 389-393 (Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018).
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