On the affine sub-families of quadratic nfsrs

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 … Web26 de dez. de 2024 · Jiang Y P and Lin D D, On affine sub-families of Grain-like structures, Designs Codes and Cryptography, 2024, 82(3): 531–542. Article MathSciNet Google …

On affine sub-families of the NFSR in Grain SpringerLink

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 … 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). port registration for import https://bohemebotanicals.com

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 … 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 … 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 remote closed ryujinx

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

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On the affine sub-families of quadratic nfsrs

A generic method for investigating nonsingular Galois NFSRs

WebIt is proved that the density of the irreducible NFSRs of n stages is larger than 0.39, which implies that it is expected to find an irreduceable NFSR of n Stage among three randomly chosen NFS Rs. Let n be a positive integer. An NFSR of n stages is called irreducible if the family of output sequences of any NFSR of stages less than n is not included in that of … Web1 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 …

On the affine sub-families of quadratic nfsrs

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Web20 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 … 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 …

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, … 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 …

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 … WebGrain-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 …

WebFor 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 …

WebSearch within Jiamin Zhang's work. Search Search. Home Jiamin Zhang port related businessWeb1 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 … iron oxidation in concentrated chloride mediaWebIn 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, ... iron ox the tiger killer 1974Web23 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 … port relay.proximus.beWeb12 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 … port removal discharge instructionsWeb"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 … port removal recoveryWeb15 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 … iron oxford