Giesecke & Devrient Gmbh

Giesecke+devrient Mobile Security Gmbh

Martin Seysen

Klaus Finkenzeller

Walter Hinz

Wittich Kaule

Manfred Heim

Thomas Giering

Michael Baldischweiler

Bernd Wunderer

Dieter Stein

Norbert Holl

Lars Hoffmann

Marius Dichtl

Hermann Drexler

Friedrich Kretschmar

Walter Schneider

Ralf Hobmeier

Alexander Steinkogler

Thomas Hildebrandt

Harald Vater

Ralf Liebler

Thorsten Pillo

Harald Reiner

Christian Voellmer

Juergen Schuetzmann

Markus Krombholz

Eckart Schroeder-Bergen

Fabiola Bellersheim

Torsten Karch

Nikola Mamuzic

Hans Aschauer

Sabine Weicker

Methods and a system involve secure communication between an RFID tag and a reader via the over-the-air interface, and to corresponding RFID tags and corresponding readers. A modification of the Rabin method is employed wherein within the framework of the encryption of a plaintext M into which an identification element of the RFID tag or of an object furnished therewith is incorporated, there is computed by the RFID tag, the Montgomery residue (Montgomery reduction) of the square of the plaintext M modulo n with respect to a Montgomery base R, i.e. C*=MRmod n, and the resultant ciphertext C* is employed for authenticating the RFID tag. The modulus n=p&#xb7;q is the public key of the reader, the prime numbers p, q are the private key of the reader, and the Montgomery base R is an integer that is larger than the modulus n.

Methods and system for secure communication between an RFID tag and a reader

The invention relates to sheet material having an electrical circuit and to apparatuses and methods for processing said sheet material. The present invention describes sheet material having an electrical circuit as well as apparatuses and methods for processing same, which reduce the effort required for processing the sheet material and/or facilitate processing and/or improve it and/or make it more reliable. For this purpose, the sheet material has at least one electrical circuit, with energy and/or data being transmitted from the apparatus to the electrical circuit and/or from the electrical circuit to the apparatus and at least part of the transmitted data being used for processing.

Devices and method for the production of sheet material

The invention relates to a cryptographic method with at least one computing step containing a modular exponentiation E according to E=x(mod p&#xb7;q), with a first prime factor p, a second prime factor q, an exponent d and a number x, whereby the modular exponentiation E is calculated according to the Chinese Remainder Theorem.

Cryptographic method and cryptographic device

A method for secure distribution of data or programs, the transmitted data being provided with an electronic signature. The unit receiving the data or programs checks the electronic signature by executing a modular multiplication, thereby necessitating a multiplication and a division thereof. According to the invention, the unit receiving the data or program checks the signature by performing a modular multiplication according to the Montgomery method wherein an additional multiplication by a factor on the basis of base 2 and even exponents is performed.

Method for secure distribution of data

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Munich, Germany

Martin Seysen