On the affine sub-families of quadratic nfsrs

WebNonlinear feedback shift registers (NFSRs) are widely used as building blocks in the design of stream ciphers. Let NFSR(f) be an NFSR with the characteristic function f and let G(f) be the set of output sequences of NFSR(f). For a given NFSR(f), if there exists an affine Boolean function l such that G(l) ⊆ G(f), then G(l) is called an affine sub-family of … Web15 de jul. de 2012 · This paper studies affine cases, that is, finding an affine function f such that S ( f) is a subset of S ( g ). If S ( g) contains an affine sub-family S ( f) whose order n is close to m, then a large number of sequences generated by the NFSR ( g) have low linear complexities. First, we give two methods to bound the maximal order of affine sub ...

On the largest affine sub-families of a family of NFSR sequences

WebIf S(g) contains an affine sub-family S(f) whose order n is close to m, then a large number of sequences generated by the NFSR (g) have low linear complexities. First, we give two … WebSearch within Tian's work. Search Search. Home Tian hillary 2016 mug https://veedubproductions.com

On the Cycle Structure of Some Nonlinear Shift Register Sequences

Web13 de dez. de 2013 · Grain is one of eSTREAM hardware-oriented finalists. It uses a 160-bit NFSR as a primitive which is a cascade connection of an 80-bit LFSR into an 80-bit NFSR. In this paper, we study affine sub-families of the family of output sequences of this 160-bit NFSR and prove that it includes no affine sub-families of order greater than 31 or less … WebZhang JM Tian T Qi WF Zheng QX A new method for finding affine sub-families of NFSR sequences IEEE Trans. Inf. Theory 2024 65 2 1249 1257 3904946 10.1109/TIT.2024.2858769 Google Scholar Digital Library; 27. Zhao XX Tian T Qi WF A ring-like cascade connection and a class of NFSRs with the same cycle structures Des. Web1 de ago. de 2024 · The cascade connection of NFSRs, known as an important architecture, has been adopted in Grain family of stream ciphers. In this paper, a new sufficient condition under which an NFSR cannot be decomposed into the cascade connection of two smaller NFSRs is presented, which is easy to be verified from the … hillary 2008 t shirts

A New Upper Bound on the Order of Affine Sub-families of NFSRs

Category:The decomposition of an NFSR into the cascade connection of two …

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On the affine sub-families of quadratic nfsrs

A New Method for Finding Affine Sub-Families of NFSR Sequences

Web23 de jul. de 2024 · Later in [27], the authors presented two general types of isomorphic NFSRs, which cover the one given in [19]. Recently, there is some progress on finding … Web1 de abr. de 2024 · Its main register is in essence a quadratic NFSR, however its affine sub-families could not be solved by the previous methods. In this paper, it is shown that …

On the affine sub-families of quadratic nfsrs

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WebSelect search scope, currently: articles+ all catalog, articles, website, & more in one search; catalog books, media & more in the Stanford Libraries' collections; articles+ journal articles & other e-resources WebAbstract: In this paper, a new and efficient method for solving affine sub-families included in a family of nonlinear feedback shift register (NFSR) sequences is proposed. The linear case is focused on since the affine case is an analogy. Let f(x 0,x 1,...,x n) = x 0 ⊕f 1 (x 1,...,x n-1)⊕x n be a characteristic function of an n-stage NFSR, where n is a positive …

Web13 de dez. de 2013 · We denote the family of output sequences of the 160-bit NFSR by G (f,g). In this paper, we study how to compute affine sub-families included in G (f,g). In … WebIn this paper, a new and efficient method for solving affine sub-families included in a family of nonlinear feedback shift register (NFSR) ... a candidate set of linear sub-families could be obtained by polynomial factorizations over $\mathbb {F}_{2}$ Second, ...

Web1 de mai. de 2013 · In this paper, we study affine sub-families of the family of output sequences of this 160-bit NFSR and prove that it includes no affine sub-families of … WebAn explicit formula for counting this class of isomorphic NFSRs is given, which generalizes the previous result given by Rozhkov and shows that the analysis of the affine sub …

Web1 de jan. de 2024 · Jiang YP Lin DD On affine sub-families of Grain-like structures Des. Codes Cryptogr. 2024 83 5 531 542 3600873 10.1007/s10623-016-0178-7 Google Scholar; ... Zhang JM Tian T Qi WF Zheng QX On the affine sub-families of quadratic NFSRs IEEE Trans. Inf. Theory 2024 64 4 2932 2940 3784596 10.1109/TIT.2024.2714680 …

Web21 de jan. de 2016 · A simple case is to consider the affine sub-families of a given { {\mathrm {NFSR}}}, that is the set of output sequences of an { {\mathrm {LFSR}}} is … hillary 2016Web4 de abr. de 2024 · A new result on irreducible NFSRs with respect to cascade connection. Finite Fields Their Appl. 73: 101859 (2024) [c3] ... On the Affine Sub-Families of Quadratic NFSRs. IEEE Trans. Inf. Theory 64 (4): 2932-2940 (2024) [c2] view. ... On the largest affine sub-families of a family of NFSR sequences. Des. Codes Cryptogr. 71 … hillary 2016 t shirtWebTian and Qi in this paper [IEEE-IT, 2013(6),4006–4012] gave a lower bound on the density of irreducible NFSRs. In this paper, we improve their lower bound and also give an upper … smart car front wheel drive or rear wheelWeb28 de set. de 2024 · A New Upper Bound on the Order of Affine Sub-families of NFSRs. J. Syst. Sci. Complex. 33 (1): 196-214 (2024) 2010 – 2024. see FAQ. What is the meaning of the colors in the publication lists? 2024 [j13] ... On the Affine Sub-Families of Quadratic NFSRs. IEEE Trans. Inf. Theory 64 (4): 2932-2940 (2024) [c1] view. electronic edition ... hillary 2028Web3 de jan. de 2024 · In this paper, we study affine sub-families of the family of output sequences of this 160-bit NFSR and prove that it includes no affine sub-families of order … hillary 3 burner stoveWebIt is shown that the family of sequences generated by the main register of Grain-128 includes no affine sub-fam families except a small one of order three, and a useful new … hillary 2016 hoodieWebFor a given NFSR(f), if there exists an affine Boolean function l such that G(l) ⊆ G(f), then G(l) is called an affine sub-family of NFSR(f). In this paper, by skillfully combining … hillary 2020