Search results
Results from the WOW.Com Content Network
It is a form of partitioning cryptanalysis that exploits unevenness in how the cipher operates over equivalence classes (congruence classes) modulo n. The method was first suggested in 1999 by John Kelsey , Bruce Schneier , and David Wagner and applied to RC5P (a variant of RC5 ) and M6 (a family of block ciphers used in the FireWire standard).
Matrix congruence is an equivalence relation. Matrix congruence arises when considering the effect of change of basis on the Gram matrix attached to a bilinear form or quadratic form on a finite-dimensional vector space : two matrices are congruent if and only if they represent the same bilinear form with respect to different bases .
An MDS matrix (maximum distance separable) is a matrix representing a function with certain diffusion properties that have useful applications in cryptography.Technically, an matrix over a finite field is an MDS matrix if it is the transformation matrix of a linear transformation = from to such that no two different (+)-tuples of the form (, ()) coincide in or more components.
Multivariate cryptography is the generic term for asymmetric cryptographic primitives based on multivariate polynomials over a finite field. In certain cases, those polynomials could be defined over both a ground and an extension field .
The following outline is provided as an overview of and topical guide to cryptography: Cryptography (or cryptology) – practice and study of hiding information. Modern cryptography intersects the disciplines of mathematics, computer science, and engineering. Applications of cryptography include ATM cards, computer passwords, and electronic ...
In cryptography, confusion and diffusion are two properties of a secure cipher identified by Claude Shannon in his 1945 classified report A Mathematical Theory of Cryptography. [1] These properties, when present, work together to thwart the application of statistics , and other methods of cryptanalysis .
One of the most important issues for any cryptographic primitive is the security of the system. However, in numerous cases, chaos-based cryptography algorithms are proved insecure. [5] [8] [9] [10] The main issue in many of the cryptanalyzed algorithms is the inadequacy of the chaotic maps implemented in the system. [11] [12]
The most used algorithm for the lattice reduction attack is the Lenstra-Lenstra-Lovász algorithm. Because the public key h contains both f and g one can try to obtain them from h . It is however too hard to find the secret key when the NTRUEncrypt parameters are chosen secure enough.