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A note on normal basis elementsSome of the next articles are maybe not open access.
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An extension of the (strong) primitive normal basis theorem
Applicable Algebra in Engineering, Communications and Computing, 2014Let \(p\) be a prime, \(q\) a power of \(p\), and \(m\) a positive integer. Let \(\mathbb{F}_q\) denote the finite field of order \(q\) and \(\overline{\mathbb{F}}_q\) its algebraic closure. A generator of the cyclic group \(\mathbb{F}_{q^m}^*\) is called a primitive element of \(\mathbb{F}_{q^m}\). Let \(x\in \mathbb{F}_{q^m}\). A basis of \(\mathbb{F}
Giorgos Kapetanakis
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Journal of the London Mathematical Society, 1950
Es handelt sich um den Satz, daß für jede endlich-algebraische normale Erweiterung \(\mathfrak E\) eines beliebigen Körpers \(\mathfrak F\) eine Normalbasis existiert. Verf. gibt eine neue Wendung des Beweises, die anders als der bekannte Beweis von \textit{M. Deuring} [Math. Arm.
Cassels, J. W. S., Wall, G. E.
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Es handelt sich um den Satz, daß für jede endlich-algebraische normale Erweiterung \(\mathfrak E\) eines beliebigen Körpers \(\mathfrak F\) eine Normalbasis existiert. Verf. gibt eine neue Wendung des Beweises, die anders als der bekannte Beweis von \textit{M. Deuring} [Math. Arm.
Cassels, J. W. S., Wall, G. E.
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On Efficient Normal Basis Multiplication
2000In cryptographic applications, the use of normal bases to represent elements of the finite field GF(2m) is quite advantageous, especially for hardware implementation. In this article, we consider an important field operation, namely, multiplication which is used in many cryptographic functions.
Arash Reyhani-Masoleh, M. Anwarul Hasan
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Normal and pathological breast, the histological basis
European Journal of Radiology, 2005Breast tissue is heterogeneous, associating connective and glandular structures, which grow and change cyclically under hormonal regulation. Hormones are also thought to be the main determinant of the major benign and malignant pathologies encountered in the breast.
J M, Guinebretière +4 more
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On a Logical Basis of Normal Logic Programs
Fundamenta Informaticae, 1996In this paper we develop a logical framework for normal logic programs, called default consequence relations. We give a representation of major semantics for logic programs in this formalism and study the question what logics are adequate for the latter.
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2020
This chapter consists of three sections on arithmetic operations in the field GF(2m) with normal-basis representations and the implementation of those operations. The first section—a short one—is on addition and squaring; both are very simple operations with a normal basis.
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This chapter consists of three sections on arithmetic operations in the field GF(2m) with normal-basis representations and the implementation of those operations. The first section—a short one—is on addition and squaring; both are very simple operations with a normal basis.
openaire +1 more source