On Feedback Functions of Maximum Length Nonlinear Feedback Shift Registers
نویسندگان
چکیده
منابع مشابه
On Feedback Functions of Maximum Length Nonlinear Feedback Shift Registers
Feedback shift registers are basic building blocks for many cryptographic primitives. Due to the insecurities of Linear Feedback Shift Register (LFSR) based systems, the use of Nonlinear Feedback Shift Registers (NFSRs) became more popular. In this work, we study the feedback functions of NFSRs with period 2n. First, we provide two new necessary conditions for feedback functions to be maximum l...
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Grain and Trivium are the hardware-oriented finalists of the eSTREAM. They are both based on nonlinear feedback shift registers. In this paper, we study their generalized classes of nonlinear feedback shift registers with time varying feedback functions, namely, Grain-like and Trivium-like structures. Some interesting results regarding their periods are obtained.
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Stream ciphers that deploy linear feedback shift registers (LFSRs) have been shown to be vulnerable under fast correlation attacks [20], [21], [14], algebraic attacks [7], [28], fast algebraic attacks [6], [1], and fault attacks [13]. We discuss certain nonlinear feedback shift registers (NLFSRs) recommended as substitutes for LFSRs in stream cipher systems.
متن کاملAlgebraic Feedback Shift Registers
A general framework for the design of feedback registers based on algebra over complete rings is described. These registers generalize linear feedback shift registers and feedback with carry shift registers. Basic properties of the output sequences are studied: relations to the algebra of the underlying ring; synthesis of the register from the sequence (which has implications for cryptanalysis)...
متن کاملLinearization of multi-valued nonlinear feedback shift registers
The Linearization of Nonlinear feedback shift registers (NFSRs) is to find their state transition matrices. In this paper, we investigate the linearization multi-valued NFSRs by considering it as a logical network via a semi-tensor product approach. A new state transition matrix is found for an multi-valued NFSR, which can be simply computed from the truth table of its feedback function, and th...
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ژورنال
عنوان ژورنال: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
سال: 2010
ISSN: 0916-8508,1745-1337
DOI: 10.1587/transfun.e93.a.1226