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The existence of simple 6-(14, 7, 4) designs

Donald L Kreher, Stanislaw P Radziszowski
1986 Journal of combinatorial theory. Series A  
A cyclic S- ( 13, 6, 4) design is constructed and is extended to a simple 6-( 14, 7,4) design via a theorem of Alltop. This design is the smallest possible nontrivial simple 6-design that can exist.  ...  Both have full automorphism group cyclic of order 13.  ...  The 6 - 6 ( 14, 7, 4) design is constructed via Theorem C of Alltop [ 11.  ... 
doi:10.1016/0097-3165(86)90064-6 fatcat:wtzcorkzofewtpeql22de5byta

Some New 6-(14, 7, 4) Designs

Z. Eslami, G.B. Khosrovshahi
2001 Journal of combinatorial theory. Series A  
In this paper, we employ trades to produce some new 6-(14, 7, 4) designs with three automorphisms.  ...  Laue produced six isomorphic copies of Design *4 of the Appendix by DISCRETA (a computer package for the generation of discrete structures).  ...  ACKNOWLEDGMENT During the summer of 1999, while the first author was visiting University of Bayreuth, using the group (C 3 _I 4 ) p, Professor R.  ... 
doi:10.1006/jcta.2000.3070 fatcat:hfk3oy4pobbshco4pikdst6bky

Existence of r-fold perfect (v,K,1)-Mendelsohn designs with K⊆{4,5,6,7}

F.E. Bennett, Nicole Zwicker, Yanxun Chang
2009 Discrete Mathematics  
Acknowledgements The first author would like to acknowledge the support of the Natural Sciences and Engineering Research Council of Canada under Grant OGP 0005320.  ...  The research of the second author was supported by an NSERC Undergraduate Student Research Award.  ...  Existence of 3-fold perfect (v, K , 1)-MDs with K ⊆ {4, 5, 6, 7} Theorem 5. 1 . 1 There exists a 3-fold perfect (v, {4, 5}, 1)-MD for all integers v ≥ 5, except possibly for v ∈ {6, 7, 8, 10, 14, 15,  ... 
doi:10.1016/j.disc.2008.06.012 fatcat:kcx32cylrvdujdud2vdhpcgaci

Monopole antenna array design for 3 T and 7 T magnetic resonance imaging

A. S. M. Zahid Kausar, David C. Reutens, Ewald Weber, Viktor Vegh, Xiaoliang Zhang
2019 PLoS ONE  
Ultra-high field magnetic resonance imaging poses a number of challenges for robust radio frequency coil designs.  ...  A monopole antenna array can potentially overcome key limitations of birdcage coil designs and may provide a useful radio frequency coil for brain imaging.  ...  Acknowledgments The authors would like to thank the Australian Research Council for linkage project funding (LP130100703).  ... 
doi:10.1371/journal.pone.0214637 pmid:30933999 pmcid:PMC6443181 fatcat:ce5elkeavff2dfxl5aox3ejytu

Urteilsanmerkung "Art. 4 Ziff. 1 Des 7. Zusatzprotokolls Zur Emrk, Art. 14 Ziff. 7 Ipbpr: Ne Bis In Idem: Präzisierung Der Rechtsprechung Zum Merkmal 'Dieselbe Straftat' ('Same Offence')", Egmr, Grand Chamber, Case Of Sergey Zolotukhin (...)

Ackermann, Jürg-Beat (Author)
2009 Zenodo  
The Court found that although the designation, nature and purpose of the two offences were different, there had been a breach of Article 4 of Protocol No. 7 in so far as both decisions had been based on  ...  The body of case-law that has been accumulated throughout the history of application of Article 4 of Protocol No. 7 by the Court demonstrates the existence of several approaches to the question whether  ... 
doi:10.5281/zenodo.1446178 fatcat:fmzawwu7mregvpdp7cpiyyvfwa

Mutually disjoint designs and new 5-designs derived from groups and codes

Makoto Araya, Masaaki Harada, Vladimir D. Tonchev, Alfred Wassermann
2010 Journal of combinatorial designs (Print)  
Several new simple 5-designs are found with parameters that were left open in the table of 5-designs given in [10], namely, 5-(v, k, λ) designs with (v, k, λ) = (18, 8, 2m) (m = 6, 9), (19, 9, 7m) (m =  ...  The paper gives constructions of disjoint 5-designs obtained from permutation groups and extremal self-dual codes.  ...  The authors would like to thank Masakazu Jimbo for useful comments [8] .  ... 
doi:10.1002/jcd.20251 fatcat:3ek5ots3hzcxpevylb23jki3ma

MAN-MADE LANDFORMS IN LANDSCAPE DESIGN OF TERRITORIES AS A MEANS OF SOLVING ENVIRONMENTAL PROBLEMS

Iryna BONDARENKO, Natalia KOKHAN, Olena GONCHAR, Bohdan BONDARENKO
2020 Architecture Civil Engineering Environment  
and designers were considered in the course of the analysis.  ...  A b s t r a c t The paper is devoted to the role of man-made landforms in landscape design as a means of solving a range of environmental problems.  ...  In the project, designer Viet Ngo used a simple water purification system based on a natural biological method of purification using aquatic plants of the genus Lemna.  ... 
doi:10.21307/acee-2019-047 fatcat:fn6u4p6dfnd4pkpwvjnkpqlsye

Designing Network Design Spaces

Ilija Radosavovic, Raj Prateek Kosaraju, Ross Girshick, Kaiming He, Piotr Dollar
2020 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)  
The RegNet design space provides simple and fast networks that work well across a wide range of flop regimes.  ...  Using our methodology we explore the structure aspect of network design and arrive at a low-dimensional design space consisting of simple, regular networks that we call RegNet.  ...  4 6 8 10 12 14 0 1 2 3 4 5 6 7 8 9 block index block index block index 80 AnyNetXC AnyNetXD 70 error 60 50 40 0 1 2 3 efit 4 5 0 1 2 3 efit 4 5 0 1 2 3 efit 4 5 i+1 ≥ d i in Figure7(right), and see it  ... 
doi:10.1109/cvpr42600.2020.01044 dblp:conf/cvpr/RadosavovicKGHD20 fatcat:b3y6jjbl7zhgho5q7lxrt2hduu

New t-designs and large sets of t-designs

Anton Betten, Reinhard Laue, Alfred Wassermann
1999 Discrete Mathematics  
Recent results in the search for simple t-designs and large sets of t-designs are reported. Many new parameter sets of simple t-designs on up to 40 points and t ~> 7 are given.  ...  Combin Theory A 76 (1996) 139-144) the construction of infinite families of large sets of t-designs.  ...  ( 3 ) 3 For all t >~4 a (4) For all t >14 a (5) For all t >>-5 a numbers u, (6) For all t >~ 6 a LS[2](t, 2 t-6 × 9 -1, 2 t-6 × 24 -2) exists, (7) For allt>~6 aLS[2](t, 2 t 6×9_1, 2 t 6×25_2) exists  ... 
doi:10.1016/s0012-365x(99)90047-x fatcat:35mwajix6jeobpncsslb4lpq3q

New t-designs and large sets of t-designs

A Betten
1999 Discrete Mathematics  
Recent results in the search for simple t-designs and large sets of t-designs are reported. Many new parameter sets of simple t-designs on up to 40 points and t ~> 7 are given.  ...  Combin Theory A 76 (1996) 139-144) the construction of infinite families of large sets of t-designs.  ...  ( 3 ) 3 For all t >~4 a (4) For all t >14 a (5) For all t >>-5 a numbers u, (6) For all t >~ 6 a LS[2](t, 2 t-6 × 9 -1, 2 t-6 × 24 -2) exists, (7) For allt>~6 aLS[2](t, 2 t 6×9_1, 2 t 6×25_2) exists  ... 
doi:10.1016/s0012-365x(98)00226-x fatcat:v4a3i5w4o5bvtpbvzdepedo4ti

Nested balanced ternary designs and Bhaskar Rao designs

Margaret Ann Francel, Spencer P. Hurd
2008 The Australasian Journal of Combinatorics  
We show that the necessary conditions are sufficient for the existence of this type of BTD, whether or not it has a design nested within.  ...  We give several new families of PBIBDs for block size 3, and show that each is nested within a BTD with block size 5 and index 4 or 6.  ...  Acknowledgment The authors would like to thank the referee for the helpful suggestions.  ... 
dblp:journals/ajc/FrancelH08 fatcat:emlvpghrnja4znaxrpnt2jlhoa

THE BEAUTIFUL VILLAGE

1964 The Sciences  
The use of local existing materials and conditions, the formation of ecological architecture with local characteristics, traditional architecture and the current concept of ecological architecture are  ...  The scientific concept of implementing architectural design is ecological building, saving energy, saving land, comprehensive consideration, and overall planning, adding luster to the beautiful rural construction  ...  as to preserve the unique features in the process of construction [6] .  ... 
doi:10.1002/j.2326-1951.1964.tb00794.x fatcat:ds22yw756bebxebxdvyt3v544m

Super-simple (v,5,4) designs

Kejun Chen, Ruizhong Wei
2007 Discrete Applied Mathematics  
In this article, we investigate the existence of a super-simple (v, 5, 4)-BIBD and show that such a design exists if and only if v ≡ 0, 1 (mod 5) and v 15.  ...  Recently, Gronau et al. determined the existence of super-simple (v, 5, 2)-BIBDs with possible exceptions of v ∈ {75 , 95, 115, 135, 195, 215, 231, 285, 365, 385, 515}.  ...  It is readily checked that (X, B, G) is the required design. Lemma 3. 3 . 3 For each t, 6 t 10, there exists a super-simple (5, 4)-GDD of type 5 t .  ... 
doi:10.1016/j.dam.2006.09.009 fatcat:aub67lqgpjcpjpy46b42rosoly

On 1-Sarvate–Beam designs

Hau Chan, Dinesh G. Sarvate
2011 Discrete Mathematics  
This raises a natural question of the existence of simple 1-SB designs. We show that the necessary conditions for the existence of simple 1-SB designs for block sizes 2, 3, 4, 5 and 6 are sufficient.  ...  We also show that simple t-SB(v, t + 1), 2-SB(v, 3) and 2-SB(v, 4) designs do not exist for any positive integers v and t.  ...  Thanks are also due to the Department of Mathematics, College of Charleston for a summer research grant.  ... 
doi:10.1016/j.disc.2011.02.004 fatcat:hxynvf23cvfnnjwx2ea3gijiim

Snark Designs [article]

Anthony D. Forbes
2015 arXiv   pre-print
The main aim of this paper is to solve the design spectrum problem for Tietze's graph, the two 18-vertex Blanusa snarks, the six snarks on 20 vertices (including the flower snark J5), the twenty snarks  ...  Together with the Petersen graph (for which the spectrum has already been computed) this list includes all non-trivial snarks of up to 22 vertices.  ...  (ii) Designs of order n exist for the flower snark J7 if n ≡ 1 or 28 (mod 84). (iii) Designs of order n exist for the double star snark if n ≡ 1 (mod 45).  ... 
arXiv:1207.3032v2 fatcat:oicafy6hjnedpan4jrien2otoi
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