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Alfred Menezes

Alfred Menezes
BornAlfred J. Menezes
1965 (age 52–53) [1]
Known forMOV attack on ECC
MQV key agreement, co-founder of Centre for Applied Cryptographic Research
Academic background
Alma materUniversity of Waterloo (B.Math, 1987; M.Math, 1989; Ph.D., 1992)
Doctoral advisorScott Vanstone
Academic work
InstitutionsUniversity of Waterloo

Alfred Menezes is co-author of several books on cryptography, including the Handbook of Applied Cryptography, and is a professor of mathematics at the University of Waterloo in Canada.[2]


Alfred Menezes' family is from Goa, a state in western India, but he was born in Tanzania and grew up in Kuwait except for a few years at a boarding school in India. His undergraduate and post-graduate degrees are from the University of Waterloo.[3]:302

Academic career

After five years teaching at Auburn University, in 1997 he returned to the University of Waterloo, where he is now a professor of mathematics in the Department of Combinatorics and Optimization. He co-founded and is a member of the Centre for Applied Cryptographic Research, and has served as its Managing Director.[4] Menezes' main areas of research are Elliptic Curve Cryptography (ECC), provable security, and related areas. He is a Canadian citizen.

Menezes' book Elliptic Curve Public Key Cryptosystems, published in 1993,[5] was the first book devoted entirely to ECC. He co-authored the widely-used reference book Handbook of Applied Cryptography.[6] Menezes has been a conference organizer or program committee member for approximately fifty conferences on Cryptography.[7] He was Program Chair for Crypto 2007, and in 2012 he was an invited speaker at Eurocrypt.[8]

In 2001 Menezes won the Hall Medal of the Institute of Combinatorics and its Applications.


  • Alfred J. Menezes, Paul C. van Oorschot and Scott A. Vanstone (1996). Handbook of Applied Cryptography. CRC Press. ISBN 0-8493-8523-7.
  • Hankerson, D.; Vanstone, S.; Menezes, A. (2004). Guide to Elliptic Curve Cryptography. Springer Professional Computing. New York: Springer. doi:10.1007/b97644. ISBN 0-387-95273-X.
  • Alfred J. Menezes (1993). Elliptic Curve Public Key Cryptosystems. Kluwer Academic Publishers. ISBN 0-7923-9368-6.
  • Alfred Menezes, Ian Blake, Shuhong Gao, Ron Mullin, Scott Vanstone, and Tomik Yaghoobian (1993). Applications of Finite Fields. Kluwer Academic Publishers. ISBN 0-7923-9282-5.

Selected publications

  • "Computing discrete logarithms in cryptographically-interesting characteristic-three finite fields" (with G. Adj, I. Canales-Martinez, N. Cruz-Cortes, T. Oliveira, L. Rivera-Zamarripa and F. Rodriguez-Henriquez), Cryptology ePrint Archive: Report 2016/914. []
  • "Another look at tightness II: Practical issues in cryptography" (with S. Chatterjee, N. Koblitz and P. Sarkar), Mycrypt 2016, Lecture Notes in Computer Science, 10311 (2017), 21-55. []
  • "Another look at HMAC" (with N. Koblitz), Journal of Mathematical Cryptology, 7 (2013), 225-251. []
  • "Elliptic curve cryptography: The serpentine course of a paradigm shift" (with A. H. Koblitz and N. Koblitz), Journal of Number Theory, 131 (2011), 781-814. []
  • "Another look at `provable security'" (with N. Koblitz), Journal of Cryptology, 20 (2007), 3-37. []
  • "An efficient protocol for authenticated key agreement" (with L. Law, M. Qu, J. Solinas and S. Vanstone), Designs, Codes and Cryptography, 28 (2003), 119-134. []
  • "Solving elliptic curve discrete logarithm problems using Weil descent" (with M. Jacobson and A. Stein), Journal of the Ramanujan Mathematical Society, 16 (2001), 231-260. []
  • "The elliptic curve digital signature algorithm (ECDSA)" (with D. Johnson and S. Vanstone), International Journal on Information Security, 1 (2001), 36-63. []
  • "Analysis of the Weil descent attack of Gaudry, Hess and Smart" (with M. Qu), Topics in Cryptology - CT-RSA 2001, Lecture Notes in Computer Science, 2020 (2001), 308-318. []
  • "Unknown key-share attacks on the station-to-station (STS) protocol" (with S. Blake-Wilson), Proceedings of PKC '99, Lecture Notes in Computer Science, 1560 (1999), 154-170. []
  • "Reducing elliptic curve logarithms to logarithms in a finite field" (with T. Okamoto and S. Vanstone), IEEE Transactions on Information Theory, 39 (1993), 1639-1646. []


  1. ^ Cf. Library of Congress catalog data
  2. ^ "Alfred Menezes: Mini-biography", Certicom company website
  3. ^ Koblitz, Neal (2008). Random Curves: Journeys of a Mathematician. Springer-Verlag. ISBN 9783540740773.
  4. ^ "Alfred Menezes". Retrieved 11 April 2018.
  5. ^ Menezes, Alfred J. (1993). Elliptic Curve Public Key Cryptosystems. Kluwer Academic Publisher. ISBN 9780792393689.
  6. ^ Menezes, Alfred J.; van Oorschot, Paul; Vanstone, Scott A. (1996). Handbook of Applied Cryptography. CRC Press. ISBN 0-8493-8523-7.
  7. ^ "Professional Activities". Retrieved 11 April 2018.
  8. ^ "Another look at provable security". Retrieved 11 April 2018.

External links