### Abstract

This paper presents a new measure of the complexity of many to one functions. We study bit correlations among the preimages of an element of the range of many to one one-way functions. Especially, we investigate the correlation among the least significant bit of the preimages of 2 to 1 one-way functions based on algebraic problems such as the factorization and the discrete logarithm.

Original language | English |
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Title of host publication | Advances in Cryptology ― AUSCRYPT 1992 - Workshop on the Theory and Application of Cryptographic Techniques, Proceedings |

Editors | Jennifer Seberry, Yuliang Zheng |

Publisher | Springer Verlag |

Pages | 435-446 |

Number of pages | 12 |

ISBN (Print) | 9783540572206 |

Publication status | Published - Jan 1 1993 |

Event | Workshop on the Theory and Application of Cryptographic Techniques, AUSCRYPT 1992 - Gold Coast, Australia Duration: Dec 13 1992 → Dec 16 1992 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 718 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | Workshop on the Theory and Application of Cryptographic Techniques, AUSCRYPT 1992 |
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Country | Australia |

City | Gold Coast |

Period | 12/13/92 → 12/16/92 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*Advances in Cryptology ― AUSCRYPT 1992 - Workshop on the Theory and Application of Cryptographic Techniques, Proceedings*(pp. 435-446). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 718 LNCS). Springer Verlag.

**On bit correlations among preimages of “many to one” one-way functions : — A new approach to study on randomness and hardness of one-way functions —.** / Sakurai, Kouichi; Itoh, Toshiya.

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

*Advances in Cryptology ― AUSCRYPT 1992 - Workshop on the Theory and Application of Cryptographic Techniques, Proceedings.*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 718 LNCS, Springer Verlag, pp. 435-446, Workshop on the Theory and Application of Cryptographic Techniques, AUSCRYPT 1992, Gold Coast, Australia, 12/13/92.

}

TY - GEN

T1 - On bit correlations among preimages of “many to one” one-way functions

T2 - — A new approach to study on randomness and hardness of one-way functions —

AU - Sakurai, Kouichi

AU - Itoh, Toshiya

PY - 1993/1/1

Y1 - 1993/1/1

N2 - This paper presents a new measure of the complexity of many to one functions. We study bit correlations among the preimages of an element of the range of many to one one-way functions. Especially, we investigate the correlation among the least significant bit of the preimages of 2 to 1 one-way functions based on algebraic problems such as the factorization and the discrete logarithm.

AB - This paper presents a new measure of the complexity of many to one functions. We study bit correlations among the preimages of an element of the range of many to one one-way functions. Especially, we investigate the correlation among the least significant bit of the preimages of 2 to 1 one-way functions based on algebraic problems such as the factorization and the discrete logarithm.

UR - http://www.scopus.com/inward/record.url?scp=85028845577&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85028845577&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85028845577

SN - 9783540572206

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 435

EP - 446

BT - Advances in Cryptology ― AUSCRYPT 1992 - Workshop on the Theory and Application of Cryptographic Techniques, Proceedings

A2 - Seberry, Jennifer

A2 - Zheng, Yuliang

PB - Springer Verlag

ER -