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pro vyhledávání: '"Dieter Jungnickel"'
Autor:
Dieter Jungnickel
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 30, Iss 1, Pp 111-120 (2010)
We conjecture that the classical geometric 2-designs PGd(n, q), where 2 ≤ d ≤ n − 1, are characterized among all designs with the same parameters as those having line size q + 1. The conjecture is known to hold for the case d = n − 1 (the Dem
Externí odkaz:
https://doaj.org/article/3e38370599f74167bd21e8b9b2cc3b2b
Autor:
Dina Ghinelli, Dieter Jungnickel
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 26, Iss 1, Pp 29-68 (2006)
Let Π be a finite projective plane admitting a large abelian collineation group. It is well known that this situation may be studied by algebraic means (via a representation by suitable types of difference sets), namely using group rings and algebr
Externí odkaz:
https://doaj.org/article/c7522f09d9a8427e877aefb20f3914d4
Autor:
Dieter Jungnickel, H. Kharaghani
Publikováno v:
Le Matematiche, Vol 59, Iss 1,2, Pp 225-261 (2004)
Balanced generalized weighing matrices include well-known classical combinatorial objects such as Hadamard matrices and conference matrices; moreover, particular classes of BGW -matrices are equivalent to certain relative difference sets. BGW -matric
Externí odkaz:
https://doaj.org/article/3f1cdb96eda34fa6b9e834111a3f0829
Autor:
Dieter Jungnickel, Marco Buratti
Publikováno v:
Designs, Codes and Cryptography. 87:2461-2467
In a recent paper by the first author in this journal it was pointed out that the literature on zero-difference balanced functions is often repetitive and of little value. Indeed it was shown that some papers published in the last decade on this topi
Autor:
Marco Buratti, Dieter Jungnickel
Two years ago, we alarmed the scientific community about the large number of bad papers in the literature on {\it zero difference balanced functions}, where direct proofs of seemingly new results are presented in an unnecessarily lengthy and convolut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b93236a5701a5fa474bec141a728570
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/91208
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/91208
Autor:
Dirk Hachenberger, Dieter Jungnickel
Publikováno v:
Topics in Galois Fields ISBN: 9783030608040
In this preliminary chapter, we lay the algebraic foundations which we believe are necessary to understand the theory of finite fields and their applications. Although most of this chapter is certainly covered by many text books on Algebra, we decide
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd1eb388d0e344b04b7dafa972cbc29b
https://doi.org/10.1007/978-3-030-60806-4_1
https://doi.org/10.1007/978-3-030-60806-4_1
Autor:
Dirk Hachenberger, Dieter Jungnickel
Publikováno v:
Topics in Galois Fields ISBN: 9783030608040
The topic of this chapter is the celebrated primitive normal basis theorem: for every extension E/F of Galois fields, there exists a primitive element of E which is normal over F. We will provide a complete proof for this fundamental result, which do
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c7e15c799a6b293ff71e6f17f93b6993
https://doi.org/10.1007/978-3-030-60806-4_13
https://doi.org/10.1007/978-3-030-60806-4_13
Autor:
Dieter Jungnickel, Dirk Hachenberger
Publikováno v:
Topics in Galois Fields ISBN: 9783030608040
This 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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::56815cbe708e3bac5a3dc61a355c6eb5
https://doi.org/10.1007/978-3-030-60806-4_14
https://doi.org/10.1007/978-3-030-60806-4_14
Autor:
Dirk Hachenberger, Dieter Jungnickel
Publikováno v:
Topics in Galois Fields ISBN: 9783030608040
The aim of this chapter is to determine a normal element for every extension E/F of finite fields. For this, it will be convenient to work (theoretically) in an algebraic closure \(\widehat{F}\) of a fixed ground field F = GF(q) with q elements. Whil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f611de0cf7f59140df75b3ce7147a684
https://doi.org/10.1007/978-3-030-60806-4_11
https://doi.org/10.1007/978-3-030-60806-4_11
Autor:
Dieter Jungnickel, Dirk Hachenberger
Publikováno v:
Algorithms and Computation in Mathematics ISBN: 9783030608040
Algorithms and Computation in Mathematics
Algorithms and Computation in Mathematics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::92ea5b168dba4083600154e78699b385
https://doi.org/10.1007/978-3-030-60806-4
https://doi.org/10.1007/978-3-030-60806-4