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Secure message transmission is of extreme importance in today's information-based society. Stream encryption is a practically important means to this end. This monograph is devoted to a new aspect of stream ciphers, namely the stability theory of stream ciphers, with the purpose of developing bounds on complexity which can form part of the basis for a general theory of data security and of stabilizing stream-cipher systems. The approach adopted in this monograph is new. The topic is treated by introducing measure indexes on the security of stream ciphers, developing lower bounds on these indexes, and establishing connections among them. The treatment involves the stability of boolean functions, the stability of linear complexity of key streams, the period stability of key streams, and the stability of source codes. Misleading ideas about stream ciphers are exposed and new viewpoints presented. The numerous measure indexes and bounds on them that are introduced here, the approach based on spectrum techniques, andthe ten open problems presented will all be useful to the reader concerned with analyzing and designing stream ciphers for securing data.

Bedieningstheorie --- Chiffres --- Cijfers --- Ciphers --- Commande [Theorie de la ] --- Control theory --- Stabiliteit --- Stability --- Stabilité --- Chiffres (Cryptographie) --- Théorie de la commande --- 681.3*E3 --- Dynamics --- Mechanics --- Motion --- Vibration --- Benjamin-Feir instability --- Equilibrium --- Machine theory --- Codes --- Contractions --- Signs and symbols --- Symbolism --- Abbreviations --- Code names --- Cryptography --- Writing --- Data encryption: data encryption standard; DES; public key cryptosystems --- 681.3*E3 Data encryption: data encryption standard; DES; public key cryptosystems --- Théorie de la commande --- Stabilité --- Stream ciphers --- State ciphers --- Control theory. --- Stability. --- Ciphers. --- Data encryption (Computer science). --- Computer security. --- Operating systems (Computers). --- Numerical analysis. --- Cryptology. --- Systems and Data Security. --- Operating Systems. --- Numerical Analysis. --- Data encoding (Computer science) --- Encryption of data (Computer science) --- Computer security --- Mathematical analysis --- Computer operating systems --- Computers --- Disk operating systems --- Systems software --- Computer privacy --- Computer system security --- Computer systems --- Cyber security --- Cybersecurity --- Electronic digital computers --- Protection of computer systems --- Security of computer systems --- Data protection --- Security systems --- Hacking --- Operating systems --- Protection --- Security measures