A mathematical problem for security analysis of hash functions and pseudorandom generators

Koji Nuida; Takuro Abe; Shizuo Kaji; Toshiaki Maeno; Yasuhide Numata

doi:10.1007/978-3-642-25141-2_10

A mathematical problem for security analysis of hash functions and pseudorandom generators

Koji Nuida, Takuro Abe, Shizuo Kaji, Toshiaki Maeno, Yasuhide Numata

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The aim of this paper is to emphasize the significance of a certain mathematical problem in research on information security. We point out that the mathematical problem, which we refer to as "Function Density Problem," has connections to the following two major cryptographic topics; security analysis of hash functions in the real world (like SHA-1), and construction of pseudorandom generators with some enhanced security property. We also provide a first example to show how a study of Function Density Problem can contribute to the progress of the above-mentioned two topics. Other potential applications of Function Density Problem to information security are also discussed.

Original language	English
Title of host publication	Advances in Information and Computer Security - 6th International Workshop, IWSEC 2011, Proceedings
Pages	144-160
Number of pages	17
DOIs	https://doi.org/10.1007/978-3-642-25141-2_10
Publication status	Published - 2011
Externally published	Yes
Event	6th International Workshop on Security, IWSEC 2011 - Tokyo, Japan Duration: Nov 8 2011 → Nov 10 2011

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	7038 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	6th International Workshop on Security, IWSEC 2011
Country/Territory	Japan
City	Tokyo
Period	11/8/11 → 11/10/11

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science(all)

Access to Document

10.1007/978-3-642-25141-2_10

Cite this

Nuida, K., Abe, T., Kaji, S., Maeno, T., & Numata, Y. (2011). A mathematical problem for security analysis of hash functions and pseudorandom generators. In Advances in Information and Computer Security - 6th International Workshop, IWSEC 2011, Proceedings (pp. 144-160). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7038 LNCS). https://doi.org/10.1007/978-3-642-25141-2_10

A mathematical problem for security analysis of hash functions and pseudorandom generators. / Nuida, Koji ; Abe, Takuro ; Kaji, Shizuo et al.

Advances in Information and Computer Security - 6th International Workshop, IWSEC 2011, Proceedings. 2011. p. 144-160 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7038 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Nuida, K , Abe, T , Kaji, S, Maeno, T & Numata, Y 2011, A mathematical problem for security analysis of hash functions and pseudorandom generators. in Advances in Information and Computer Security - 6th International Workshop, IWSEC 2011, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 7038 LNCS, pp. 144-160, 6th International Workshop on Security, IWSEC 2011, Tokyo, Japan, 11/8/11. https://doi.org/10.1007/978-3-642-25141-2_10

Nuida K , Abe T , Kaji S, Maeno T, Numata Y. A mathematical problem for security analysis of hash functions and pseudorandom generators. In Advances in Information and Computer Security - 6th International Workshop, IWSEC 2011, Proceedings. 2011. p. 144-160. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-642-25141-2_10

Nuida, Koji ; Abe, Takuro ; Kaji, Shizuo et al. / A mathematical problem for security analysis of hash functions and pseudorandom generators. Advances in Information and Computer Security - 6th International Workshop, IWSEC 2011, Proceedings. 2011. pp. 144-160 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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A mathematical problem for security analysis of hash functions and pseudorandom generators

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