By Igor Izmailov, Boris Poizner, Ilia Romanov, Sergey Smolskiy
This e-book provides the right way to increase info safeguard for safe conversation. It combines and applies interdisciplinary medical engineering ideas, together with cryptography, chaos conception, nonlinear and singular optics, radio-electronics and self-changing synthetic platforms. It additionally introduces extra how you can enhance info defense utilizing optical vortices as info vendors and self-controlled nonlinearity, with nonlinearity taking part in a key "evolving" position. The proposed options enable the common phenomenon of deterministic chaos to be mentioned within the context of data protection difficulties at the foundation of examples of either digital and optical platforms. extra, the booklet offers the vortex detector and communique structures and describes mathematical types of the chaos oscillator as a coder within the synchronous chaotic communique and applicable decoders, demonstrating their potency either analytically and experimentally. finally it discusses the cryptologic gains of analyzed structures and indicates a sequence of recent constructions for convinced communication.
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Additional info for Cryptology Transmitted Message Protection: From Deterministic Chaos up to Optical Vortices
E. three dynamic variables) is necessary (but not sufﬁcient) for the appearance of the deterministic chaos in the dynamic system. Apparently, due to this condition, a variety of the common radio physical chaotic generators has exactly these (minimally required) one and a half degrees of freedom. Moreover, the chaotic generator is often designed as a modiﬁcation of the generator with one degree of freedom to which some nonlinear element is added. In this case the nonlinearity of the initial generator is of the secondary importance from the point of view of chaos generation (some nonlinear elements will be discussed in this section, some will be grouped in Sect.
In other words, for any cryptogram we can select the message for any key. According to the known Shannon theorem [1, pp. 258–264], the simultaneous fulﬁllment of the three following conditions is a necessary and a sufﬁcient requirement for the absolutely crypto-resistant cipher: (1) complete key randomness (equiprobability of letters in the key); (2) key length is no less than the message length; (3) one-time application of the key (or of any of its parts). With such a cipher, the enemy will not gain from the interception of any number of the opened messages and cryptograms.
Evidently, together with such one-directional effect, it is possible to have the mutual interaction of two oscillating system equally influencing each other. Then we speak about mutual synchronization: the deﬁnite dynamic characteristics coincide . Owing to some inaccuracy of the words “deﬁnite characteristics”, the term “synchronization” and particularly “chaotic synchronization” is interpreted differently in various publications. As a rule, it requires additional explanations in each speciﬁc case.