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The internal state of RC4 stream cipher is a permutation over ZNZN and its state transition is effectively a transposition or swapping of two elements. How the randomness of RC4 state evolves due to i...
In this work we provide low rank estimations for coordinate sequences of linear recurrent sequences (LRS) of maximal period (MP) over Galois ring R=GR(pn,r), p≥5, r≥2, with numbers s such that s=kr+2,...
In earlier eighties of XX century A.A.Nechaev has obtained the criterion of full period of a Galois polynomial over primary residue ring modulo power of 2. Also he has obtained necessary conditions of...
This paper presents a method for constructing $n$-stage Galois NLFSRs with period $2^n-1$ from $n$-stage maximum length LFSRs. We introduce nonlinearity into state cycles by adding a nonlinear Boolean...
This paper presents a method for constructing $n$-stage Galois NLFSRs with period $2^n-1$ from $n$-stage maximum length LFSRs. We introduce nonlinearity into state cycles by adding a nonlinear Boolean...
This paper presents a method for constructing $n$-stage Galois NLFSRs with period $2^n-1$ from $n$-stage maximum length LFSRs. We introduce nonlinearity into state cycles by adding a nonlinear Boolean...
In this paper, we propose a method to get the lower bounds of the 2-adic complexity of a sequence obtained from a periodic sequence over by either inserting or deleting symbols within one period. The ...

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