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 languageEnglish
Title of host publication2016 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages175-176
Number of pages2
ISBN (Electronic)9781509042319
DOIs
Publication statusPublished - 9 Dec 2016
Event15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016 - Saint-Petersburg
Duration: 26 Sep 201629 Sep 2016

Conference

Conference15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016
CountryRussian Federation
CitySaint-Petersburg
Period26/09/1629/09/16

Fingerprint

Authentication
Cryptography

Scopus subject areas

  • Computer Networks and Communications
  • Information Systems
  • Signal Processing

Cite this

Vostokov, S. V., & Vostokova, R. P. (2016). Encryption system using the explicit reciprocity law. In 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
Vostokov, Sergey V. ; Vostokova, Regina P. / Encryption system using the explicit reciprocity law. 2016 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 175-176
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Vostokov, SV & Vostokova, RP 2016, Encryption system using the explicit reciprocity law. in 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.

2016 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 175-176 7779357.

Research output

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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).

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Vostokov SV, Vostokova RP. Encryption system using the explicit reciprocity law. In 2016 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016. Institute of Electrical and Electronics Engineers Inc. 2016. p. 175-176. 7779357 https://doi.org/10.1109/RED.2016.7779357