Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › Рецензирование
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. стр. 175-176 7779357.Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › Рецензирование
}
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.
T2 - 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016
Y2 - 26 September 2016 through 29 September 2016
ER -
ID: 38481463