Found 321 Documents (Results 1–100)
Compound Lucas magic square matrices. (English) Zbl 1536.05091
Reviewer: Peter Horák (Tacoma)
MSC:
05B15
Constant and nearly constant block-sum partially balanced incomplete block designs and magic rectangles. (English) Zbl 1517.05031
Reviewer: Paola Bonacini (Catania)
Perfect permutations and spatially balanced Latin squares. (Chinese. English summary) Zbl 07822563
Some matrix constructions of \(L_2\)-type Latin square designs. (English) Zbl 1497.05024
Reviewer: Julian Abel (Sydney)
Number cubes with consecutive line sums. (English) Zbl 1490.05020
Reviewer: Zihong Tian (Shijiazhuang)
A complete solution to the existence of normal bimagic squares of even order. (English) Zbl 1460.05030
MSC:
05B15
On construction of constant block-sum partially balanced incomplete block designs. (English) Zbl 1511.62196
Further construction of balanced arrays. (English) Zbl 1487.05043
Reviewer: John Lorch (Muncie)
Balanced semi-Latin rectangles: properties, existence and constructions for block size two. (English) Zbl 1456.62162
The Parshvanath yantram yields a constant-sum partially balanced incomplete block design. (English) Zbl 07530628
\(\mathrm{GDD}(n,2,4;\lambda_1,\lambda_2)\) with equal number of blocks of three configurations. (English) Zbl 1453.05015
Reviewer: Charles J. Colbourn (Tempe)
On the existence of degree-magic labellings of the \(n\)-fold self-union of complete bipartite graphs. (English) Zbl 1446.05079
Constructions and uses of incomplete pairwise balanced designs. (English) Zbl 1429.05021
Reviewer: Peter Horák (Tacoma)
On \((t, L)\)-fold perfect authentication and secrecy codes with arbitration. (English) Zbl 1418.94067
Multi-part balanced incomplete-block designs. (English) Zbl 1419.62305
Stat. Pap. 60, No. 2, 55-76 (2019); appendage ibid. 62, No. 3, 1557-1558 (2021).
Further contributions to bi-level balanced arrays of strength nine and factorial designs of resolution ten. (English) Zbl 1420.05026
MSC:
05B15
Replacement construction of balanced block orthogonal arrays based on Kronecker products. (Chinese. English summary) Zbl 1424.05034
Lower bounds on the sizes of defining sets in full \(n\)-Latin squares and full designs. (English) Zbl 1402.05019
Reviewer: Julian Abel (Sydney)
Contributions to balanced arrays of strength ten and fractional factorial designs of resolution eleven. (English) Zbl 1393.05065
Reviewer: John Lorch (Muncie)
MSC:
05B15
Optimal designs for estimating linear and quadratic contrasts with three level factors, the case \(N\equiv0\mod3\). (English) Zbl 1440.62298
Critical sets of 2-balanced Latin rectangles. (English) Zbl 1347.05021
MSC:
05B15
Pairwise balanced designs covered by bounded flats. (English) Zbl 1355.05054
Reviewer: Geertrui Van de Voorde (Gent)
RRB vector: a practical general purpose immutable sequence. (English) Zbl 1360.68387
Proceedings of the 20th ACM SIGPLAN international conference on functional programming, ICFP ’15, Vancouver, Canada, September 1–3, 2015. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3669-7). 342-354 (2015).
Series of generalized incomplete Trojan-type designs. (English) Zbl 1361.05020
Reviewer: Julian Abel (Sydney)
Decomposition of bi-colored square arrays into balanced diagonals. (English) Zbl 1346.05023
Nešetril, Jaroslav (ed.) et al., Extended abstracts of the eight European conference on combinatorics, graph theory and applications, EuroComb 2015, Bergen, Norway, August 31 – September 4, 2015. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 49, 17-22, electronic only (2015).
Combinatorial designs with applications. Notes. (English) Zbl 1343.05001
Banská Bystrica: Vyd. Belianum, Univerzita Mateja Bela, Fakulta Prírodných Vied (ISBN 978-80-557-1049-5/pbk). v, 58 p. (2015).
Reviewer: Charles J. Colbourn (Tempe)
Sliced space-filling designs with different levels of two-dimensional uniformity. (English) Zbl 1364.62212
A unified approach to combinatorial key predistribution schemes for sensor networks. (English) Zbl 1306.94083
Reviewer: Charles J. Colbourn (Tempe)
Contributions to fractional factorial designs of resolutions six and eight for \(2^m\) series and bi-level balanced arrays. (English) Zbl 1293.05025
MSC:
05B15
Common variance fractional factorial designs and their optimality to identify a class of models. (English) Zbl 1279.62160
Recursively \(r\)-differentiable quasigroups within \(S\)-systems and MDS-codes. (English) Zbl 1317.94161
Existence of balanced arrays and the positive semi-definiteness of the moment matrix. (English) Zbl 1281.05027
MSC:
05B15
Multi-structured designs and their applications. (English) Zbl 1366.05021
Crnković, Dean (ed.) et al., Information security, coding theory and related combinatorics. Information coding and combinatorics. Based on lectures presented at the NATO Advanced Study Institute, Opatija, Croatia, May 31 – June 11, 2010. Amsterdam: IOS Press (ISBN 978-1-60750-662-1/hbk; 978-1-60750-663-8/ebook). NATO Science for Peace and Security Series D: Information and Communication Security 29, 326-362 (2011).
P3BD-closed sets. (English) Zbl 1242.05034
Further contributions to balanced arrays of strength seven with applications. (English) Zbl 1248.05019
Reviewer: Esther R. Lamken (San Francisco)
MSC:
05B15
Investigations on strength eight balanced arrays using some classical inequalities. (English) Zbl 1234.05048
Totally balanced test-control incomplete crossover designs and their statistical applications. (English) Zbl 1278.62116
Brualdi, Richard A. (ed.) et al., Combinatorics and graphs. Selected papers based on the presentations at the 20th anniversary conference of IPM on combinatorics, Tehran, Iran, May 15–21, 2009. Dedicated to Reza Khosrovshahi on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4865-4/pbk). Contemporary Mathematics 531, 43-58 (2010).
Contributions to strength six balanced arrays using Hölder and Minkowski-inequalities. (English) Zbl 1202.05016
MSC:
05B15
Design theory. (English) Zbl 1223.05001
Hackensack, NJ: World Scientific; Beijing: Higher Education Press (ISBN 978-981-4287-42-5/hbk). ix, 221 p. (2009).
Reviewer: Julian Abel (Sydney)
An introduction to balanced sequential arrays on the square grid. (English) Zbl 1212.05035
Reviewer: Ondrej Vacek (Zvolen)
Orthogonal arryas and their applications. (English) Zbl 1188.05038
MSC:
05B15
There is no Drake-Larson finite linear space with three 7-lines and twenty-four 5-lines. (English) Zbl 1246.05036
Some open combinatorial problems in the design of stated choice experiments. (English) Zbl 1161.05012
On the constraints of some combinatorial arrays. (English) Zbl 1127.05016
Reviewer: Peter Boyvalenkov (Sofia)
MSC:
05B15
A method of construction of a quasi affine \(a\)-resolvable PBIB design with Latin squares. (English) Zbl 1143.05303
On the construction of orthogonal balanced incomplete block designs. (English) Zbl 1134.05007
Reviewer: Sharad Sane (Mumbai)
Some results on bi-level balanced arrays. (English) Zbl 1121.05019
Reviewer: Sanpei Kageyama (Hiroshima)
MSC:
05B15
Investigations on the existence of some balanced arrays with two symbols. (English) Zbl 1200.05035
MSC:
05B15
Generalisation of Latin squares type association scheme and related factorial designs. (English) Zbl 1082.62065
On the non-existence of some orthogonal arrays. (English) Zbl 1084.05014
Reviewer: Chester J. Salwach (Easton)
MSC:
05B15
Double arrays, triple arrays and balanced grids with \(v=r+c-1\). (English) Zbl 1158.05307
MSC:
05B15
On assigning referees to tournament schedules. (English) Zbl 1069.05013
Reviewer: Esther R. Lamken (San Francisco)
Super-simple balanced incomplete block designs with block size 4 and index 6. (English) Zbl 1063.05019
Computational challenges in determining an optimal design for an experiment. (English) Zbl 1170.62354
Antoch, Jaromir (ed.), COMPSTAT. Proceedings in computational statistics. 16th symposium, Prague, Czech Republic, August 23-27, 2004. With CD-ROM. Heidelberg: Physica-Verlag (ISBN 3-7908-1554-3/pbk). 181-188 (2004).
Association schemes. Designed experiments, algebra and combinatorics. (English) Zbl 1051.05001
Cambridge Studies in Advanced Mathematics 84. Cambridge: Cambridge University Press (ISBN 0-521-82446-X/hbk). xviii, 387 p. (2004).
Reviewer: Charles J. Colbourn (Tempe)
Further investigations on balanced arrays of strength six. (English) Zbl 1050.05023
Reviewer: Sanpei Kageyama (Hiroshima)
MSC:
05B15
Existence of optimal strong partially balanced designs with block size five. (English) Zbl 1045.05011
Reviewer: Charles J. Colbourn (Tempe)
Combinatorial designs. Constructions and analysis. (English) Zbl 1031.05001
New York, NY: Springer. xvi, 300 p. (2004).
Reviewer: Charles J.Colbourn (Tempe)
Some necessary existence conditions for balanced arrays of strength eight. (English) Zbl 1047.05004
Reviewer: Peter Boyvalenkov (Sofia)
A note on an upper bound for the constraints of some balanced arrays. (English) Zbl 1047.05005
Reviewer: Peter Boyvalenkov (Sofia)
Round-dance neighbour designs from terraces. (English) Zbl 1025.05010
Reviewer: Charles J.Colbourn (Burlington)
MSC:
05B15
Contributions to balanced arrays of strength four on two symbols. (English) Zbl 1029.05022
Reviewer: Sanpei Kageyama (Hiroshima)
MSC:
05B15
Locally balanced change-over designs. (English) Zbl 1011.05015
Reviewer: Dan S.Archdeacon (Burlington)
A note on balanced arrays of strength eight. (English) Zbl 1005.05012
Reviewer: Sanpei Kageyama (Hiroshima)
MSC:
05B15
Norm of alias matrices for balanced fractional \(2^m\) factorial designs when interesting factorial effects are not aliased with effects not of interest in estimation. (English) Zbl 1180.62112
Complete sets of mutually orthogonal hypercubes and their connections to affine resolvable designs. (English) Zbl 1003.05028
The geometry of frequency squares. (English) Zbl 0987.05027
Reviewer: Gary L.Mullen (University Park)
Some investigations on orthogonal arrays. (English) Zbl 0982.05027
Reviewer: Jürgen Bierbrauer (Houghton)
MSC:
05B15
Mutually orthogonal Latin squares: A brief survey of constructions. (English) Zbl 0991.05020
Reviewer: Chester J.Salwach (Easton)
Construction, properties and applications of finite neofields. (English) Zbl 1035.12003
Reviewer: Aleš Drápal (Praha)
A construction method for balanced \(6\times6\) Graeco-Latin designs with a set of 4 treatments superimposed on a \(6\times6\) Latin square. (English) Zbl 1128.05301
Some new infinite series of Freeman-Youden rectangles. (English) Zbl 0977.05020
Reviewer: Aleš Drápal (Praha)
MSC:
05B15
Efficient code constructions for certain two-dimensional constraints. (English) Zbl 0945.94007
MSC:
94A14
On the construction of balanced Room squares. (English) Zbl 0933.05022
Reviewer: Du Ding-Zhu (Minneapolis)
MSC:
05B15
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