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DOI: 10.4230/LIPIcs.STACS.2010.2441

Mathematics, Cryptology, Security

Authors: Jacques Stern

Published in: LIPIcs, Volume 5, 27th International Symposium on Theoretical Aspects of Computer Science (2010)

Abstract

In this talk, I will review some of the work performed by the research community in cryptology and security since the invention of public key cryptography by Diffie and Hellman in 1976. This community has developped many challenging lines of research. I will only focus on some of these, and moreover I will adopt an extremely specific perspective: for each chosen example, I will try to trace the original mathematics that underly the methods in use. Over the years, maybe due to my original training as a mathematician, I have come to consider that linking recent advances and challenges in cryptology and security to the work of past mathematicians is indeed fascinating. The range of examples will span both theory and practice: I will show that the celebrated RSA algorithm is intimately connected to mathematics that go back to the middle of the XVIIIth century. I will also cover alternatives to RSA, the method of "provable security", as well as some aspects of the security of electronic payments.

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Jacques Stern. Mathematics, Cryptology, Security. In 27th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 5, pp. 33-34, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)

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@InProceedings{stern:LIPIcs.STACS.2010.2441,
  author =	{Stern, Jacques},
  title =	{{Mathematics, Cryptology, Security}},
  booktitle =	{27th International Symposium on Theoretical Aspects of Computer Science},
  pages =	{33--34},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-16-3},
  ISSN =	{1868-8969},
  year =	{2010},
  volume =	{5},
  editor =	{Marion, Jean-Yves and Schwentick, Thomas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2010.2441},
  URN =		{urn:nbn:de:0030-drops-24416},
  doi =		{10.4230/LIPIcs.STACS.2010.2441},
  annote =	{Keywords: Mathematics, Cryptology, Security}
}

Document

DOI: 10.4230/DagSemRep.355

Cryptography (Dagstuhl Seminar 02391)

Authors: Ueli Maurer, Adi Shamir, Jacques Stern, and Moti Yung

Published in: Dagstuhl Seminar Reports. Dagstuhl Seminar Reports, Volume 1 (2021)

Abstract

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Ueli Maurer, Adi Shamir, Jacques Stern, and Moti Yung. Cryptography (Dagstuhl Seminar 02391). Dagstuhl Seminar Report 355, pp. 1-21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2003)

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@TechReport{maurer_et_al:DagSemRep.355,
  author =	{Maurer, Ueli and Shamir, Adi and Stern, Jacques and Yung, Moti},
  title =	{{Cryptography (Dagstuhl Seminar 02391)}},
  pages =	{1--21},
  ISSN =	{1619-0203},
  year =	{2003},
  type = 	{Dagstuhl Seminar Report},
  number =	{355},
  institution =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemRep.355},
  URN =		{urn:nbn:de:0030-drops-152357},
  doi =		{10.4230/DagSemRep.355},
}

Document

DOI: 10.4230/DagSemRep.190

Cryptography (Dagstuhl Seminar 9739)

Authors: Andrew Odlyzko, Claus Peter Schnorr, Adi Shamir, and Jacques Stern

Published in: Dagstuhl Seminar Reports. Dagstuhl Seminar Reports, Volume 1 (2021)

Abstract

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Andrew Odlyzko, Claus Peter Schnorr, Adi Shamir, and Jacques Stern. Cryptography (Dagstuhl Seminar 9739). Dagstuhl Seminar Report 190, pp. 1-15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (1997)

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@TechReport{odlyzko_et_al:DagSemRep.190,
  author =	{Odlyzko, Andrew and Schnorr, Claus Peter and Shamir, Adi and Stern, Jacques},
  title =	{{Cryptography (Dagstuhl Seminar 9739)}},
  pages =	{1--15},
  ISSN =	{1619-0203},
  year =	{1997},
  type = 	{Dagstuhl Seminar Report},
  number =	{190},
  institution =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemRep.190},
  URN =		{urn:nbn:de:0030-drops-150778},
  doi =		{10.4230/DagSemRep.190},
}

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Documents authored by Stern, Jacques

Mathematics, Cryptology, Security

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Cryptography (Dagstuhl Seminar 02391)

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Cryptography (Dagstuhl Seminar 9739)

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