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If L/K is a finite Galois extension of local fields, then we say that the valuation criterion VC(L/K) holds if there is an integer d such that every element x is an element of L with valuation d generates a normal basis for L/K. Answering a question of Byo ...
This paper presents an algorithm and its implementation in the software package NCSOStools for finding sums of Hermitian squares and commutators decompositions for polynomials in noncommuting variables. The algorithm is based on noncommutative analogs of t ...
In this paper we propose a new structure for multiplication using optimal normal bases of type 2. The multiplier uses an efficient linear transformation to convert the normal basis representations of elements of Fqn to suitable polynomials of deg ...
Gauss periods have been used successfully as a tool for constructing normal bases in finite fields. Starting from a primitive rth root of unity, one obtains under certain conditions a normal basis for mathbbFqn over Fq, where r is a prime and ...
Photoemission investigations of quasi-one dimensional materials reveal the unconventional electronic properties of these systems. The normal state spectra are incompatible with a Fermi liquid description, and exhibit features consistent with the Luttinger ...
Many real-world systems are intrinsically nonlinear. This thesis proposes various algorithms for designing control laws for input-affine single-input nonlinear systems. These algorithms, which are based on the concept of quotients used in nonlinear control ...
This paper describes an implementation of Pollard's rho algorithm to compute the elliptic curve discrete logarithm for the Synergistic Processor Elements of the Cell Broadband Engine Architecture. Our implementation targets the elliptic curve discrete loga ...
Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2010
Let F/E be a finite Galois extension of fields with abelian Galois group Γ. A self-dual normal basis for F/E is a normal basis with the additional property that TrF/E(g(x),h(x))=δg,h for g,h∈Γ. Bayer-Fluckiger and Lenstra h ...
It has been established that primary stability of femoral stems is a determinant of the clinical success of cementless total hip arthroplasty[1]. Excessive interface micromotions may lead to a peri-implant fibrous tissue formation resulting in aseptic loos ...
Visualization tools can facilitate access to complex spatial phenomenon. This access is what the application to be presented aims at. As a case study to such a complex phenomenon, the addressed question is that of the commuters' space of the Swiss federal ...
