On the affine sub-families of quadratic nfsrs
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 … 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 …
On the affine sub-families of quadratic nfsrs
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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 … 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, …
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 … 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 …
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 … 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 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 …
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 … campbell creek apartments boothbay harborWeb12 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 … campbell cove rv resort lake havasu azWeb15 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 ... first standard assuretyWeb1 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 … first stance meaningWeb21 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 … first standard asurety lllpWebIn 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, ... first st ale house livermore caWebIf 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 … campbell creek bike trail