On the affine sub-families of quadratic nfsrs

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August undefined, 2024

Web20 de jan. de 2024 · A New Upper Bound on the Order of Affine Sub-families of NFSRs. 26 December 2024. Junying Liu, Qunxiong Zheng & Dongdai Lin. On observability of Galois nonlinear feedback shift registers over finite fields. 28 September 2024. ... Let the following system of quadratic equations 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 largest affine sub-families of a family of NFSR sequences

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 … 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 … mitel 480 ip phone

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

WebSearch within Tian's work. Search Search. Home Tian 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 … 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 … mitel 5224 phone manual

On affine sub-families of the NFSR in Grain SpringerLink

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

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 … Web3 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 … mitel 5224 phoneWeb1 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 … in game crush

"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 affine sub-families of quadratic nfsrs

On the affine sub-families of quadratic 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 … Web28 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 ...

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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 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 …

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 … 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 …

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). 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 …

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 …

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 mitel 5304 ip phone resetWeb"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 … mitel 5310r boardroom dark conf unit in game editor civ 5WebFurther 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 … mitel 5312 ip phone set ip addressWebZhang 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. mitel 5312 lockedWeb13 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 … mitel 5312 ip phone setupWebNonlinear 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 … mitel 5312 ip phone redial