Organizer: Christian Janson, TU Darmstadt, Cryptography and Information Security Group

Abstract

This talk is the first one in the seminar series “Reading the Crypto Classics” for the winter term 2022/23. The idea of this seminar is to jointly read classical milestone papers in the area of cryptography, to discuss their impact and understand their relevance for current research areas. The seminar is running as an Oberseminar, but at the same time meant to be a joint reading group seminar of the CROSSING Special Interest Group on Advanced Cryptography with all interested CROSSING members being invited to participate.

This issue will cover the paper/talk

Koblitz: „Elliptic curve cryptosystems“ available at https://www.ams.org/journals/mcom/1987-48-177/S0025-5718-1987-0866109-5/S0025-5718-1987-0866109-5.pdf (opens in new tab)

with the following abstract:

“We discuss analogs based on elliptic curves over finite fields of public key cryptosystems which use the multiplicative group of a finite field. These elliptic curve cryptosystems may be more secure, because the analog of the discrete logarithm problem on elliptic curves is likely to be harder than the classical discrete logarithm problem, especially over GF(2”). We discuss the question of primitive points on an elliptic curve modulo p, and give a theorem on nonsmoothness of the order of the cyclic subgroup generated by a global point."

Participation

For participation in this virtual format, please write an e-mail to the organizer (see above).

More information

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