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Ciphers and Secrets in Early Modern Hungary

Mathematics, cryptology, and technology Andrew Odlyzko The start of the 21st century is a golden age for applications of mathematics in cryptology. The beginnings of this age can be traced to the work of Rejewski, Rozycki, and Zygalski on breaking Enigma. Their work was a breakthrough in several ways. It made a tremendous practical contribution to the conduct of World War II. At the same time, it represented a major increase in the sophistication of the mathematical tools that were used. Ever since, mathematics has been playing an increasingly important

), Cryptomenytices (f. n. 1), pp. 119-129. [15] KAHN, D.: The Codebreakers The Story of Secret Writing. Reprint, rev. and updated. Scribner, New York, 1996, p. 154. (Brief mention of Duke August’s work). [16] STRASSER, G. F.: The Rise of Cryptology in the European Renaissance. In: (Karl de Leeuw, Jan Bergstra, eds.) The History of Information Security: A Comprehensive Handbook. Elsevier, Amsterdam, 2007, pp. 277-325. [17] ALBERTI, L. B.: Trattato di Leon Battista Alberti Sulla Cifra. (Manuscript kept at the Vatican Library, Ms. Vat. Chig. M II 49). In: Alberti’s Opuscoli morali

J. Math. Crypt. 3 (2009), 175–176 c© de Gruyter 2009 Foreword Second Workshop on Mathematical Cryptology This issue of the Journal of Mathematical Cryptology collects selected papers on work presented to the meeting WMC 2008, held in Santander (Spain), October 23–25, 2008. The result of the evolution of technology and science is that today we are witnesses of an explosive growth in the applications of mathematics in cryptology. There is growing interest among mathematicians and cryptographers in cryptosystems based on algebraic problems and in related