On the affine sub-families of quadratic nfsrs

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August undefined, 2024

Web12 de jun. de 2024 · On the Affine Sub-Families of Quadratic NFSRs Abstract: Grain-128 is a hardware oriented stream cipher based on the cascade connection of a 128-bit linear feedback shift register into a 128-bit quadratic nonlinear feedback shift register (NFSR). 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, ...

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

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 … 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. irish lotto result wed 25th may 2022

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WebFurther results on the equivalence between Galois NFSRs and Fibonacci NFSRs. Des. Codes Cryptogr. 88 (1): 153-171 (2024) 2010 ... A New Method for Finding Affine Sub-Families of NFSR Sequences. IEEE Trans. Inf. Theory 65 (2): 1249-1257 (2024) 2024 ... On the Affine Sub-Families of Quadratic NFSRs. IEEE Trans. Inf. Theory 64 (4): 2932 … 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 ... 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 … irish lotto results 10th september 2022

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

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

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 … Web1 de mai. de 2015 · 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 … port and sherry wineWeb15 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 … port and sherry

"WebTian 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 … " - On the affine sub-families of quadratic nfsrs

On the affine sub-families of quadratic nfsrs

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

WebRecently nonlinear feedback shift registers (NFSRs) have frequently been used as building blocks for designing stream ciphers. Let NFSR ( g ) be an m -stage NFSR with characteristic function $${g=x_{0}\oplus g_{1}(x_{1},\cdots ,x_{m-1})\oplus x_{m}}$$ .Up to now there has been no known method to determine whether the family of output sequences of the … 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 …

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Web"On the Affine Sub-Families of Quadratic NFSRs." help us. How can I correct errors in dblp? contact dblp; Jia-Min Zhang et al. (2024) Dagstuhl. Trier > Home. Details and … 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 …

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 … Web22 de abr. de 2015 · Turan gave bounds on the number of maximum-length feedback functions with nonlinearity 2 and t for even t<2 n−2 in the paper (Crypto. Commun. 4 (3-4), pp. 233-243 (2012)). In this correspondence, we give two further results. First, the exact number of maximum-length feedback functions with nonlinearity 2 is obtained. Second, …

Web4 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 … Web12 de jun. de 2024 · Download Citation On the Affine Sub-Families of Quadratic NFSRs Grain-128 is a hardware oriented stream cipher based on the cascade connection of …

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 …

WebIt 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 … port and shipping management courseWebSearch within Tian's work. Search Search. Home Tian port and shipping administrationWeb1 de abr. de 2024 · It 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 upper bound on the orders of affineSub-families of a quadratic NFSR is given. Grain-128 is a hardware oriented stream cipher based on the cascade connection of a … irish lotto results jackpotjoyWeb1 de abr. de 2014 · 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 … irish lotto results archiveWeb20 de jan. de 2024 · The cascade connection of two NFSRs is an important class of NFSRs which has been used in the design of many recently proposed ... A New Upper Bound on the Order of Affine Sub-families of NFSRs. 26 December 2024. Junying ... RNS Montgomery reduction algorithms using quadratic residuosity. 03 September 2024. Shinichi … port and sherry difference port and starboard aircraftWeb1 de jun. de 1997 · To achieve this goal, a new method is proposed for solving affine sub-families of general quadratic NFSRs. Let NFSR(f) be an NFSR with a quadratic … irish lotto results daily million