Vectorial Conception of FCSR

Marjane, Abdelaziz; Allailou, Boufeldja

doi:10.1007/978-3-642-15874-2_20

Cited by 4 publications

(3 citation statements)

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“…To construct FCSR over any finite fields F 2 n , we use a vectorial conception introduced by Klapper [8]. We have completely developed the vectorial analysis of these registers [3]. They present the same basic properties as in the binary case.…”

Section: Vectorial Fcsr In Fibonacci Modementioning

confidence: 99%

“…Pseudorandom Properties of VFCSRs: VFCSRs sequences have good pseudorandom properties. In fact, we have tested VFCSR in the quadratic case (n = 2) for several triplets (q, u, v) given in Table 1, using the package NIST STS [3]. This package consists of 15 different statistical tests like perfect balance, good uniform distribution, the Matrix rank, the Maurer test, the compressibility of sequences, etc.…”

Section: Vectorial Fcsr In Fibonacci Modementioning

confidence: 99%

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Vectorial Feedback with Carry Registers and Memory requirements

Marjane,

Mokrane,

Allailou

2011

Preprint

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In [3], we have introduced vectorial conception of FCSR's in Fibonacci mode. This conception allows us to easily analyze FCSR's over binary finite fields F2n for n ≥ 2. In [4], we describe and study the corresponding Galois mode and use it to design a new stream cipher. In this paper, we introduce the Ring mode for vectorial FCSR, explain the analysis of such Feedback registers and illustrate with a simple example.

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Section: Vectorial Fcsr In Fibonacci Modementioning

confidence: 99%

Section: Vectorial Fcsr In Fibonacci Modementioning

confidence: 99%

Vectorial Feedback with Carry Registers and Memory requirements

Marjane,

Mokrane,

Allailou

2011

Preprint

Self Cite

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“…Under some conditions, the period is maximal, i.e. it is the order of p modulo |N(q)|, where N(q) is the norm of q in Q(π) as a Q-vector space of dimension d. To extend the construction of FCSR to any finite fields F p n , the authors introduced the notion of a vectorial conception in 2010 (see [3,4]). In fact, FCSR and d-FCSR are mainly developped on F p (where p is prime).…”

Section: Introductionmentioning

confidence: 99%