2 results sorted by ID
Possible spell-corrected query: close look invariant
On Closed-Cycle Loops and Applicability of Nonlinear Product Attacks to DES
Nicolas T. Courtois, Matteo Abbondati, Hamy Ratoanina, Marek Grajek
Secret-key cryptography
In this article we look at the question of the security of Data Encryption Standard (DES) against non-linear polynomial invariant attacks. Is this sort of attack also possible for DES? We present a simple proof of concept attack on DES where a product of 5 polynomials is an invariant for 2 rounds of DES. Furthermore we present numerous additional examples of invariants with higher degrees. We analyse the success probability when the Boolean functions are chosen at random and compare to DES...
Cycle structure of generalized and closed loop invariants
Yongzhuang Wei, Rene Rodriguez, Enes Pasalic
Secret-key cryptography
This article gives a rigorous mathematical treatment of generalized and closed loop invariants (CLI) which extend the standard notion of (nonlinear) invariants used in the cryptanalysis of block ciphers. Employing the cycle structure of bijective S-box components, we precisely characterize the cardinality of both generalized and CLIs. We demonstrate that for many S-boxes used in practice quadratic invariants (especially useful for mounting practical attacks in cases when the linear...
In this article we look at the question of the security of Data Encryption Standard (DES) against non-linear polynomial invariant attacks. Is this sort of attack also possible for DES? We present a simple proof of concept attack on DES where a product of 5 polynomials is an invariant for 2 rounds of DES. Furthermore we present numerous additional examples of invariants with higher degrees. We analyse the success probability when the Boolean functions are chosen at random and compare to DES...
This article gives a rigorous mathematical treatment of generalized and closed loop invariants (CLI) which extend the standard notion of (nonlinear) invariants used in the cryptanalysis of block ciphers. Employing the cycle structure of bijective S-box components, we precisely characterize the cardinality of both generalized and CLIs. We demonstrate that for many S-boxes used in practice quadratic invariants (especially useful for mounting practical attacks in cases when the linear...