Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 23

Liczba wyników na stronie
first rewind previous Strona / 2 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 2 next fast forward last
1
Content available remote

On the discrepancy of some hybrid sequences

100%
Niederreiter H.
Acta Arithmetica
|
2009
|
tom 138
|
nr 4
373-398
2
Content available remote

Cyclotomic function fields, Hilbert class fields, and global function fields with many rational places

64%
Niederreiter H., Xing C.
Acta Arithmetica
|
1997
|
tom 79
|
nr 1
59-76
3
Content available remote

Duality for digital nets and its applications

64%
Niederreiter H., Pirsic G.
Acta Arithmetica
|
2001
|
tom 97
|
nr 2
173-182
4
Content available remote

Kloosterman-type sums and the discrepancy of nonoverlapping pairs of inversive congruential pseudorandom numbers

64%
Eichenauer-Herrmann J., Niederreiter H.
Acta Arithmetica
|
1993
|
tom 65
|
nr 2
185-194
5
Content available remote

Vandermonde nets

64%
Hofer R., Niederreiter H.
Acta Arithmetica
|
2014
|
tom 163
|
nr 2
145-160
EN
The second-named author recently suggested identifying the generating matrices of a digital (t,m,s)-net over the finite field $𝔽_{q}$ with an s × m matrix C over $𝔽_{q^{m}}$. More exactly, the entries of C are determined by interpreting the rows of the generating matrices as elements of $𝔽_{q^{m}}$. This paper introduces so-called Vandermonde nets, which correspond to Vandermonde-type matrices C, and discusses the quality parameter and the discrepancy of such nets. The methods that have been successfully used for the investigation of polynomial lattice point sets and hyperplane nets are applied to this new class of digital nets. In this way, existence results for small quality parameters and good discrepancy bounds are obtained. Furthermore, a first step towards component-by-component constructions is made. A novelty of this new class of nets is that explicit constructions of Vandermonde nets over $𝔽_{q}$ in dimensions s ≤ q + 1 with best possible quality parameter can be given. So far, good explicit constructions of the competing polynomial lattice point sets are known only in dimensions s ≤ 2.
6
Content available remote

Explicit global function fields over the binary field with many rational places

64%
Niederreiter H., Xing C.
Acta Arithmetica
|
1996
|
tom 75
|
nr 4
383-396
7
Content available remote

Global function fields with many rational places over the quinary field. II

64%
Niederreiter H., Xing C.
Acta Arithmetica
|
1998
|
tom 86
|
nr 3
277-288
8
Content available remote

Global function fields with many rational places over the ternary field

64%
Niederreiter H., Xing C.
Acta Arithmetica
|
1998
|
tom 83
|
nr 1
65-86
9
Content available remote

Constructions of digital nets

64%
Niederreiter H., Xing C.
Acta Arithmetica
|
2002
|
tom 102
|
nr 2
189-197
10
Content available remote

Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number generators

64%
Niederreiter H., Winterhof A.
Acta Arithmetica
|
2000
|
tom 93
|
nr 4
387-399
11
Content available remote

Low-discrepancy sequences using duality and global function fields

64%
Niederreiter H., Özbudak F.
Acta Arithmetica
|
2007
|
tom 130
|
nr 1
79-97
12
Content available remote

A new construction of (t,s)-sequences and some improved bounds on their quality parameter

64%
Mayor D., Niederreiter H.
Acta Arithmetica
|
2007
|
tom 128
|
nr 2
177-191
13
Content available remote

Multiplicative character sums for nonlinear recurring sequences

64%
Niederreiter H., Winterhof A.
Acta Arithmetica
|
2004
|
tom 111
|
nr 3
299-305
14
Content available remote

Bounds for exponential sums and their applications to pseudorandom numbers

64%
Eichenauer-Herrmann J., Niederreiter H.
Acta Arithmetica
|
1994
|
tom 67
|
nr 3
269-281
15
Content available remote

Exponential sums and the distribution of inversive congruential pseudorandom numbers with prime-power modulus

64%
Niederreiter H., Shparlinski I.
Acta Arithmetica
|
2000
|
tom 92
|
nr 1
89-98
16
Content available remote

Drinfeld modules of rank 1 and algebraic curves with many rational points. II

64%
Niederreiter H., Xing C.
Acta Arithmetica
|
1997
|
tom 81
|
nr 1
81-100
17
Content available remote

Kronecker-type sequences and nonarchimedean diophantine approximations

64%
Larcher G., Niederreiter H.
Acta Arithmetica
|
1993
|
tom 63
|
nr 4
379-396
18
Content available remote

A construction of low-discrepancy sequences using global function fields

64%
Xing C., Niederreiter H.
Acta Arithmetica
|
1995
|
tom 73
|
nr 1
87-102
19
Content available remote

An improved upper bound for the discrepancy of quadratic congruential pseudorandom numbers

64%
Eichenauer-Herrmann J., Niederreiter H.
Acta Arithmetica
|
1995
|
tom 69
|
nr 2
193-198
20
Content available remote

Low-discrepancy sequences obtained from algebraic function fields over finite fields

64%
Niederreiter H., Xing C.
Acta Arithmetica
|
1995
|
tom 72
|
nr 3
281-298
first rewind previous Strona / 2 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.