Abstract. Nonlinear n-stage feedback shift-register sequences over the finite field of period q n–1 are investigated under linear operations on sequences.

Abstract. Nonlinear n-stage feedback shift-register sequences over the finite field Fq of period qn. − 1 are investigated under linear operations.

Oct 22, 2024 · We show that all sequences generated by a set of nonlinear shift registers with symmetric feedback functions have minimal periods dividing n(n + ...

It is proved that all members of an easily described class of linear combinations of shifted versions of nonlinear n-stage feedback shift-register sequences ...

We prove that all members of an easily described class of linear combinations of shifted versions of these sequences possess useful properties for cryptographic ...

The WG transformation has good cryptographic properties such as high nonlinearity, algebraic degree, and at least. 1-order resiliency for a proper choice of ...

A representation for nonlinear filters of m-sequences, the Sequential Decomposition in Cosets, is presented. This representation identifies every kth-order ...

In this paper, we first present a pseudorandom number generator, named the filtering nonlinear feedback shift register using Welch-Gong (WG) transformations ( ...

1 Introduction · 2 Preliminaries · 3 The Filtering WG-NLFSR. 3.1 General Description of the Filtering WG-NLFSR. 3.2 The Filtering WG7-NLFSR. 3.3 Application of ...

The nonlinear filtering function is used to combine the outputs of the LFSR to improve the linear complexity of keystream sequences. Such generated stream ...