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Primitive Constituent Elements of Cryptographic Protocols
2018 IEEE SmartWorld, Ubiquitous Intelligence & Computing, Advanced & Trusted Computing, Scalable Computing & Communications, Cloud & Big Data Computing, Internet of People and Smart City Innovation (SmartWorld/SCALCOM/UIC/ATC/CBDCom/IOP/SCI), 2018Many cryptographic protocols have been proposed, and many studies of them have been done. However, there is no study to identify constituent elements of cryptographic protocols that are elements of the protocols consist of. The constituent elements can be used for the basis of classification of already proposed cryptographic protocols, the basis of ...
Sho Ishibashi +3 more
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1992
Abstract You will recall that in our example of GF(16) we introduced ‘logarithms’ for non-zero field elements that could be used like conventional logarithms to convert multiplication into addition. This is certainly of practical significance, since addition modulo 15 is easily implemented on a chip, while polynomial multiplication ...
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Abstract You will recall that in our example of GF(16) we introduced ‘logarithms’ for non-zero field elements that could be used like conventional logarithms to convert multiplication into addition. This is certainly of practical significance, since addition modulo 15 is easily implemented on a chip, while polynomial multiplication ...
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1999
In the previous chapter, we introduced basic geometrical elements like points, lines, polygons, conics, etc. In this chapter we will describe how simple polyhedra like “boxes” (parallelepipedums), prisms, cylinders, pyramids, cones, and frustums, etc., are implemented in OPEN GEOMETRY. We also describe our “virtual camera.”
Georg Glaeser, Hellmuth Stachel
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In the previous chapter, we introduced basic geometrical elements like points, lines, polygons, conics, etc. In this chapter we will describe how simple polyhedra like “boxes” (parallelepipedums), prisms, cylinders, pyramids, cones, and frustums, etc., are implemented in OPEN GEOMETRY. We also describe our “virtual camera.”
Georg Glaeser, Hellmuth Stachel
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Generalized Primitive Elements
2004Let K be a field, char K ≠ 2, and let X be a finite set, X = {x1, ... , x n }. In what follows, F = F(X) denotes the free K-algebra without the unity element on the set X of free generators of one of the following varieties of algebras over a field K: the variety of all algebras, the variety of Lie algebras, varieties of color Lie superalgebras, the ...
Alexander A. Mikhalev +2 more
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PRIMITIVITY OF FINITE SEMIFIELDS WITH 64 AND 81 ELEMENTS
International Journal of Algebra and Computation, 2007A finite semifield D is a finite nonassociative ring with identity such that the set D* = D \{0} is a loop under the product. Wene conjectured in [1] that any finite semifield is either right or left primitive, i.e. D* is the set of right (or left) principal powers of an element in D. In this paper we study the primitivity of finite semifields with 64
Irvin Roy Hentzel, Ignacio F. Rúa
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On sums and products of primitive elements
Communications in Algebra, 2016ABSTRACTLet R be a (commutative integral) domain, with K its quotient field and R′ its integral closure (in K).
David E. Dobbs, Evan Houston
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Primitive Elements in Affine Hyperplanes
2020This final chapter deals with another important result on primitive elements: given an extension E/F of Galois fields with degree n ≥ 2, usually every affine F-hyperplane of E contains a primitive element. The proof will take up almost all of this chapter; some motivation and a detailed outline is provided in the introductory first section.
Dirk Hachenberger, Dieter Jungnickel
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Primitive elements of free lie algebras
Algebra and Logic, 1970zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Historical Element in Primitive Christianity
Numen, 1955That an article from the pen of so eminent a scholar as Professor 0. Cullmann on the so-called 'Entmythologisierung' thesis of Rudolf Bultmann should appear in the second number of Numen clearly attests the significance of that thesis in the field of 'Religionsgeschichte'. In his article Dr. Cullmann acutely analysed the premisses unconsciously assumed
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