Stream Cipher Design based on Jumping Finite State Machines.

Cees J. A. Jansen · 2005

This paper presents a new way of constructing binary cascade clock-controlled LFSR sequence generators as building blocks for stream ciphers. In these constructions the bottleneck of multiple clocking shift registers is removed, resulting in so called jump-controlled sequence generators, that operate in a single clock pulse and are most e#cient to implement. The constructions make use of special properties of irreducible polynomials over finite fields. This paper also aims at giving insight into the mathematical theory behind the constructions.

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