i& Page 1 i& Designs, Codes and Cryptography, 19, 101-128 (2000) •"'Il © 2000 Kluwer
Academic Publishers, Boston. Integer Factoring ARJEN K. LENSTRA arjen.lenstra@citicorp.com …

Cryptography, in particular public-key cryptography, has emerged in the last 20 years as an
important discipline that is not only the subject of an enormous amount of research, but …

THE LEGACYFirst introduced in 1995, Cryptography: Theory and Practice garnered
enormous praise and popularity, and soon became the standard textbook for cryptography …

In this paper we present a new multi‐authority secret‐ballot election scheme that guarantees
privacy, universal veriability, and robustness. It is the first scheme for which the performance …

The RSA cryptosystem, invented by Ron Rivest, Adi Shamir, and Len Adleman [18], was first
publicized in the August 1977 issue of Scientific American. The cryptosystem is most …

Factorization of a 768-Bit RSA Modulus Page 1 Factorization of a 768-Bit RSA Modulus
Thorsten Kleinjung 1 , Kazumaro Aoki 2 , Jens Franke 3 , Arjen K. Lenstra 1 , Emmanuel …

Cryptography is a key technology in electronic key systems. It is used to keep data secret,
digitally sign documents, access control, and so forth. Users therefore should not only know …

Elliptic curves have been intensively studied in algebraic geometry and number theory. In
recent years they have been used in devising efficient algorithms for factoring integers and …

Continuing a bestselling tradition, An Introduction to Cryptography, Second Edition provides
a solid foundation in cryptographic concepts that features all of the requisite background …

Algorithmic design, especially for hard problems, is more essential for success in solving
them than any standard improvement of current computer tech nologies. Because of this, the …