### Abstract

In the present paper, we suggest a new method of creating ID-based cryptosystems, which is based on the use the explicit pairing obtained in the papers [1,2]. The classical reciprocity law goes back to Pierre Fermat and is an explicit formula for the product of the power residues in a filed of algebraic numbers. In 1990, on the first congress of mathematics, Hilbert stated the 9th problem and suggested a plan of solving it. His idea was to reduce the problem to finding an explicit formula for the norm residue symbol. This problem was solved completely in 1978 (see [1]). In the present paper, we use the explicit Hilbert pairing for a protocol of authentication without disclosure (see Sec.3).

Original language | English |
---|---|

Title of host publication | 2016 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 175-176 |

Number of pages | 2 |

ISBN (Electronic) | 9781509042319 |

DOIs | |

Publication status | Published - 9 Dec 2016 |

Event | 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016 - Saint-Petersburg Duration: 26 Sep 2016 → 29 Sep 2016 |

### Conference

Conference | 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016 |
---|---|

Country | Russian Federation |

City | Saint-Petersburg |

Period | 26/09/16 → 29/09/16 |

### Fingerprint

### Scopus subject areas

- Computer Networks and Communications
- Information Systems
- Signal Processing

### Cite this

*2016 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016*(pp. 175-176). [7779357] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/RED.2016.7779357

}

*2016 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016.*, 7779357, Institute of Electrical and Electronics Engineers Inc., pp. 175-176, Saint-Petersburg, 26/09/16. https://doi.org/10.1109/RED.2016.7779357

**Encryption system using the explicit reciprocity law.** / Vostokov, Sergey V.; Vostokova, Regina P.

Research output

TY - GEN

T1 - Encryption system using the explicit reciprocity law

AU - Vostokov, Sergey V.

AU - Vostokova, Regina P.

PY - 2016/12/9

Y1 - 2016/12/9

N2 - In the present paper, we suggest a new method of creating ID-based cryptosystems, which is based on the use the explicit pairing obtained in the papers [1,2]. The classical reciprocity law goes back to Pierre Fermat and is an explicit formula for the product of the power residues in a filed of algebraic numbers. In 1990, on the first congress of mathematics, Hilbert stated the 9th problem and suggested a plan of solving it. His idea was to reduce the problem to finding an explicit formula for the norm residue symbol. This problem was solved completely in 1978 (see [1]). In the present paper, we use the explicit Hilbert pairing for a protocol of authentication without disclosure (see Sec.3).

AB - In the present paper, we suggest a new method of creating ID-based cryptosystems, which is based on the use the explicit pairing obtained in the papers [1,2]. The classical reciprocity law goes back to Pierre Fermat and is an explicit formula for the product of the power residues in a filed of algebraic numbers. In 1990, on the first congress of mathematics, Hilbert stated the 9th problem and suggested a plan of solving it. His idea was to reduce the problem to finding an explicit formula for the norm residue symbol. This problem was solved completely in 1978 (see [1]). In the present paper, we use the explicit Hilbert pairing for a protocol of authentication without disclosure (see Sec.3).

UR - http://www.scopus.com/inward/record.url?scp=85013843492&partnerID=8YFLogxK

U2 - 10.1109/RED.2016.7779357

DO - 10.1109/RED.2016.7779357

M3 - Conference contribution

AN - SCOPUS:85013843492

SP - 175

EP - 176

BT - 2016 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016

PB - Institute of Electrical and Electronics Engineers Inc.

ER -