On the affine sub-families of quadratic nfsrs

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August undefined, 2024

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 … 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 …

On affine sub-families of the NFSR in Grain SpringerLink

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 … 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 … simply satisfied catering davis ca

dblp: Jia-Min Zhang

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 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 … 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 … ray\\u0027s trading company gallup nm

A generic method for investigating nonsingular Galois NFSRs

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

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 … 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 … simply sated ham and bean soupWebFurther 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 … simply satie soundtrack

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

On the affine sub-families of quadratic nfsrs

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

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 … 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.

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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 … 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 …

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, … 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 …

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 ... WebSearch within Jiamin Zhang's work. Search Search. Home Jiamin Zhang

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).

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 … simply satisfying mealsWeb1 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 … simply sated creamy chicken soupWeb1 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 … simply saucy plainfield ilWebRecently 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 … ray\u0027s tractorsWebIn 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, ... ray\\u0027s trWeb3 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 … ray\\u0027s tractorsWebIt 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 … simply saucer