Anzeige
Erschienen in:
20.05.2017 | Original Paper
Mirror theory and cryptography
Erschienen in: Applicable Algebra in Engineering, Communication and Computing | Ausgabe 4/2017
EinloggenAktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Abstract
“Mirror Theory” is the theory that evaluates the number of solutions of affine systems of equalities \(({=})\) and non equalities (\(\ne \)) in finite groups. It is deeply related to the security and attacks of many generic cryptographic secret key schemes, for example random Feistel schemes (balanced or unbalanced), Misty schemes, Xor of two pseudo-random bijections to generate a pseudo-random function etc. In this paper we will assume that the groups are abelian. Most of time in cryptography the group is \(((\mathbb {Z}/2\mathbb {Z})^n, \oplus )\) and we will concentrate this paper on these cases. We will present here general definitions, some theorems, and many examples and computer simulations.