Construct a new system as a combining function for the LFSR in the stream cipher systems using multiplicative cyclic group

Abstract EN

In this paper, we construct a new mathematical system as multiplicative cyclic group (MCG), called a new digital algebraic generator (NDAG) unit, which would generate digital sequences with good statistical properties.

this new unit can be considered as a new basic unit of stream ciphers.

a (NDAG) system can be constructed from collection of (NDAG) units using a Boolean function as a combining function of the system.

this system could be used in cryptography as like as linear feedback shift register (LFSR) unit.

this unit is basic component of a stream cipher system.