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We consider the adjacency graphs of the linear feedback shift registers (LFSRs) with characteristic polynomials of the form l(x)p(x), where l(x) is a polynomial of small degree and p(x) is a primitive...
The adjacency graphs of feedback shift registers (FSRs) with characteristic function of the form g = (x0+x1)∗f are considered in this paper. Some properties about these FSRs are given. It is p...
In this paper we introduce the first authenticated encryption scheme based on a hash function, called COFFE. This research has been motivated by the challenge to fit secure cryptography into constra...
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 l...
In this paper, we study stability and linearization of multivalued nonlinear feedback shift registers which are considered as logic networks. First, the linearization of multi-valued nonlinear feedb...
In this paper, we consider the cycle structures of feedback shift registers (FSRs). At the beginning, the cycle structures of two special classes of FSRs, pure circulating registers (PCRs) and pure ...
We continue the research of Jansen et al. (IEEE Trans on Information Theory 1991) to construct De Bruijn sequences from feedback shift registers (FSRs) that contain only very short cycles. Firstly, ...
Conventional Cipher Feedback Mode (CFB) can allow the transmission unit to be shorter than the block-cipher length. Eventually, it causes no delay and even any message expansion unlike the ECB and C...
Nonlinear feedback shift registers (NLFSRs) are used to construct pseudorandom generators for stream ciphers. Their theory is not so complete as that of linear feedback shift registers (LFSRs). In gen...
In the context of secure point-to-point message transmission in networks with minimal connectivity, previous studies showed that feedbacks from the receiver to the sender can be used to reduce the r...
In this paper, we present an attack on stream cipher implementations by determining the scan chain structure of the linear feedback shift registers in their implementations. Although scan Design-for-T...
The purpose of this note is to show that Markov chains induced by nonsingular triangular feedback shift registers and non-degenerate sources are rapidly mixing. The results may directly be applied t...
We introduce a new kind of word-oriented linear feedback shift register called LFSR which is constructed with the instructions of the modern processor and have fast software implementation. We of- ...

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