{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:36:30Z","timestamp":1753886190221},"publisher-location":"Berlin, Heidelberg","reference-count":22,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540618720"},{"type":"electronic","value":"9783540707073"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1996]]},"DOI":"10.1007\/bfb0034831","type":"book-chapter","created":{"date-parts":[[2005,12,11]],"date-time":"2005-12-11T07:32:03Z","timestamp":1134286323000},"page":"15-25","source":"Crossref","is-referenced-by-count":4,"title":["Cryptographic protocols based on real-quadratic A-fields (extended abstract)"],"prefix":"10.1007","author":[{"given":"Ingrid","family":"Biehl","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bernd","family":"Meyer","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christoph","family":"Thiel","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2005,6,26]]},"reference":[{"key":"2_CR1","unstructured":"Mihir Bellare, Silvio Micali, Non-Interactive Oblivious Transfer and Applications, Proceedings of CRYPTO'89, 1989."},{"key":"2_CR2","doi-asserted-by":"crossref","unstructured":"D.J. Bernstein, A.K. Lenstra, A general number field sieve implementation, In: A.K. Lenstra, H.W. Lenstra Jr.(Eds.) The Development of the Number Field Sieve (LNM 1554), Springer Verlag, 1993, pp. 103\u2013126.","DOI":"10.1007\/BFb0091541"},{"key":"2_CR3","doi-asserted-by":"crossref","unstructured":"Ingrid Biehl, Johannes Buchmann, Algorithms for Quadratic Orders, Proceedings of Symposia in Applied Mathematics, vol. 48, American Mathematical Society, 1994, pp. 425\u2013451.","DOI":"10.1090\/psapm\/048\/1314882"},{"key":"2_CR4","unstructured":"Ingrid Biehl, Johannes Buchmann, Christoph Thiel, Cryptographic Protocols Based on Discrete Logarithms in Real-quadratic Orders, Proceedings of CRYPTO'94, Springer, 1995."},{"key":"2_CR5","doi-asserted-by":"crossref","unstructured":"Johannes Buchmann, J\u00fcrgen Loho, J\u00f6rg Zayer, An Implementation of the General Number Field Sieve, Proceedings of CRYPTO'93 (LNCS 773), Springer Verlag, pp. 159\u2013165, 1993.","DOI":"10.1007\/3-540-48329-2_14"},{"key":"2_CR6","unstructured":"Johannes Buchmann, Christoph Thiel, Hugh C. Williams, Short Representation of Quadratic Integers, Proceedings of CANT, Springer, 1992."},{"key":"2_CR7","doi-asserted-by":"crossref","unstructured":"Johannes Buchmann, Hugh C. Williams, A Key Exchange System Based on Real-quadratic Fields, Proceedings of CRYPTO'89, Springer, 1989, pp. 335\u2013343.","DOI":"10.1007\/0-387-34805-0_31"},{"key":"2_CR8","doi-asserted-by":"crossref","unstructured":"J.P. Buhler, H.W. Lenstra, C. Pomerance, Factoring integers with the number field sieve, LNCS 1554, pp. 50\u201394, 1993, Springer-Verlag.","DOI":"10.1007\/BFb0091539"},{"key":"2_CR9","doi-asserted-by":"crossref","unstructured":"Claude Crepeau, Jeroen van de Graaf, Alain Tapp, Committed Obivious Transfer and Private Multi-Party Computation, Proceedings of CRYPTO'95, pp. 110\u2013123, 1995.","DOI":"10.1007\/3-540-44750-4_9"},{"key":"2_CR10","doi-asserted-by":"publisher","first-page":"472","DOI":"10.1109\/TIT.1976.1055638","volume":"22","author":"W. Diffie","year":"1976","unstructured":"W. Diffie, M. Hellman, New Directions in Cryptography, IEEE Trans. Inform. Theory 22, pp. 472\u2013492, 1976.","journal-title":"IEEE Trans. Inform. Theory"},{"key":"2_CR11","doi-asserted-by":"publisher","first-page":"186","DOI":"10.1137\/0218012","volume":"18","author":"S. Goldwasser","year":"1989","unstructured":"S. Goldwasser, S. Micali, C. Rackoff, The knowledge complexity of interactive proof systems, SIAM Journal on Computing, 18:186\u2013208, 1989.","journal-title":"SIAM Journal on Computing"},{"key":"2_CR12","doi-asserted-by":"crossref","unstructured":"D. Gordon, Discrete Logarithms in GF(p) Using the Number Field Sieve, SIAM Journal on Discrete Mathematics, 1993, pp. 124\u2013138.","DOI":"10.1137\/0406010"},{"key":"2_CR13","unstructured":"Renate Scheidler, Compact Representation in Real Quadratic Congruence Function Fields, to appear in the Proceedings of ANTS II."},{"issue":"no.1\/2","key":"2_CR14","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1023\/A:1018065117011","volume":"7","author":"R. Scheidler","year":"1996","unstructured":"Renate Scheidler, Andreas Stein, Hugh C. Williams, Key Exchange in Real Quadratic Congruence Function Fields, Designs, Codes and Cryptography, vol.7, no.1\/2, pp. 153\u2013174, 1996.","journal-title":"Designs, Codes and Cryptography"},{"key":"2_CR15","doi-asserted-by":"crossref","unstructured":"Oliver Schirokauer, Damian Weber, Thomas Denny, Discrete Logarithms and the Effectiveness of the Index Calculus Method, to appear in the Proceedings of ANTS II, 1996.","DOI":"10.1007\/3-540-61581-4_66"},{"key":"2_CR16","unstructured":"Bruce Schneier, Applied Cryptography, Second Edition, John Wiley and Sons, Inc., 1996."},{"key":"2_CR17","unstructured":"D. Shanks, The Infrastructure of a Real Quadratic Field and its Applications, Proceedings of the 1972 Number Theory Conference, Boulder, pp. 217\u2013224, 1972."},{"key":"2_CR18","unstructured":"R.J. Schoof, Quadratic fields and factorization, In: H.W. Lenstra, R. Tijdemans (Eds.), Computational methods in number theory, Part II, Math. Centrum Tracts 155, pp. 235\u2013286, 1982."},{"key":"2_CR19","unstructured":"Andreas Stein, Equivalences Between Elliptic Curves and Real Quadratic Congruence Function Fields, to appear in the Proceedings of PRAGOCRYPT'96."},{"key":"2_CR20","unstructured":"Douglas R. Stinson, Cryptography, Theory and Practice, CRC Press, 1995."},{"key":"2_CR21","unstructured":"Christoph Thiel, On the Complexity of Some Problems in Algorithmic Algebraic Number Theory, PhD Thesis, Universit\u00e4t des Saarlandes, 1995."},{"key":"2_CR22","doi-asserted-by":"crossref","unstructured":"Andre Weil, Basic Number Theory, Springer, 1973.","DOI":"10.1007\/978-3-662-05978-4"}],"container-title":["Lecture Notes in Computer Science","Advances in Cryptology \u2014 ASIACRYPT '96"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BFb0034831","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,11]],"date-time":"2020-04-11T13:52:04Z","timestamp":1586613124000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BFb0034831"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996]]},"ISBN":["9783540618720","9783540707073"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/bfb0034831","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[1996]]}}}