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The existence problem for strong complete mappings of finite groups. (English) Zbl 07924262

Hoffman, Frederick (ed.) et al., Combinatorics, graph theory and computing. Proceedings of the 52nd Southeastern international conference, SEICCGTC 2021, virtual, Boca Raton, FL, USA, March 8–12, 2021. Singapore: Springer. Springer Proc. Math. Stat. 448, 11-22 (2024).

Reviewer: Egle Bettio (Venezia)

MSC: 20D60 05B15 51E15

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Lee, Yi-Lin

Off-diagonally symmetric domino tilings of the Aztec diamond of odd order. (English) Zbl 07923888

Adv. Appl. Math. 161, Article ID 102759, 35 p. (2024).

MSC: 05B45 05A15 05B20 05B15

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Kravitz, Noah; Alon, Noga

Cats in cubes. (English) Zbl 07922003

Electron. J. Comb. 31, No. 3, Research Paper P3.29, 7 p. (2024).

MSC: 05D05 05A05 05B15

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Li, Dongliang; Cao, Haitao; Shen, Cong

On the spectrum of large sets plus of partitioned incomplete Latin squares of type \(g^n (2g)^1\). (English) Zbl 07921205

Colbourn, Charles J. (ed.) et al., New advances in designs, codes and cryptography, Stinson66, Toronto, Canada, June 13–17, 2022. Cham: Springer. Fields Inst. Commun. 86, 317-326 (2024).

MSC: 05B15

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Lamken, Esther R.

Self-orthogonal Latin squares and room squares. (English) Zbl 07921204

Colbourn, Charles J. (ed.) et al., New advances in designs, codes and cryptography, Stinson66, Toronto, Canada, June 13–17, 2022. Cham: Springer. Fields Inst. Commun. 86, 305-316 (2024).

MSC: 05B15

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Bodkin, Carly; Wanless, Ian M.

Mutually orthogonal binary frequency squares of mixed type. (English) Zbl 07921190

Colbourn, Charles J. (ed.) et al., New advances in designs, codes and cryptography, Stinson66, Toronto, Canada, June 13–17, 2022. Cham: Springer. Fields Inst. Commun. 86, 1-23 (2024).

MSC: 05B15

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Hiess, Irene; Kampel, Ludwig; Simos, Dimitris E.

Optimal ordered covering arrays via an exact algorithm. (English) Zbl 07919948

Bull. Inst. Comb. Appl. 102, 93-115 (2024).

MSC: 94B65 05B15 05B40

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El-Shanawany, R.; Abdel-Aal, M. E.

On some extensions of mutually orthogonal graph squares. (English) Zbl 07919947

Bull. Inst. Comb. Appl. 102, 71-92 (2024).

MSC: 05C70 05B15 05B30

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Morrison, Ralph; Speeter, Noah

The gonality of queen’s graphs. (English) Zbl 07919623

Discrete Math. 347, No. 12, Article ID 114186, 9 p. (2024).

MSC: 05C57 91A43 05B15

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Bereg, Sergey

Computing random \(r\)-orthogonal Latin squares. (English) Zbl 07914101

Wu, Weili (ed.) et al., Combinatorial optimization and applications. 16th international conference, COCOA 2023, Hawaii, HI, USA, December 15–17, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 14462, 165-174 (2024).

MSC: 90C27

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Pang, Shanqi; Zhu, Yan; Lin, Xiao

Some new families of asymmetric nested orthogonal arrays with any strength. (English) Zbl 07913939

Stat. Probab. Lett. 214, Article ID 110219, 7 p. (2024).

MSC: 62K15 05B15

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Wang, Chunyan; Liu, Min-Qian; Yang, Jinyu

A new class of strong orthogonal arrays of strength three. (English) Zbl 07903355

J. Syst. Sci. Complex. 37, No. 3, 1233-1250 (2024).

MSC: 05B15

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Saurabh, Shyam; Sinha, Kishore

\((2, w)\)-threshold schemes constructed from orthogonal resolutions. (English) Zbl 07896085

J. Comb. Math. Comb. Comput. 120, 231-239 (2024).

MSC: 05B30 05B15

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Chen, Guangzhou; Niu, Xiaodong; Shi, Jiufeng

New results on large sets of orthogonal arrays and orthogonal arrays. (English) Zbl 07893962

J. Comb. Des. 32, No. 8, 488-515 (2024).

MSC: 05B15

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Yadav, Kaushal Kumar; Dash, Sukanta; Mandal, Baidya Nath; Parsad, Rajender

Construction of balanced semi-Latin rectangles in block size four: an algorithmic approach. (English) Zbl 1542.62102

J. Stat. Theory Pract. 18, No. 3, Paper No. 29, 10 p. (2024).

MSC: 62K10 05B15 62K05

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Javaheri, Mohammad

Doubly sequenceable groups. (English) Zbl 07885206

J. Comb. Des. 32, No. 7, 371-387 (2024).

Reviewer: Peter Danchev (Sofia)

MSC: 20K01 05B15 20D15 20F22

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Krotov, Denis S.; Valyuzhenich, Alexandr A.

On degree-3 and \((n - 4)\)-correlation-immune perfect colorings of \(n\)-cubes. (English) Zbl 1543.05056

Discrete Math. 347, No. 10, Article ID 114138, 14 p. (2024).

MSC: 05C15 05B15 94D10 94A60

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Castoldi, André G.; Martinhão, Anderson N.; Monte Carmelo, Emerson L.; dos Santos, Otávio J. N. T. N.; Perondi, Pablo H.

Difference schemes of strength \(t\) over finite commutative rings. (English) Zbl 1543.05014

Discrete Math. 347, No. 10, Article ID 114100, 8 p. (2024).

MSC: 05B15 05B10 05C70 13M05

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Carr, John; Hoffman, Dean

Color trades on \(n\)-cubes and complete bipartite graphs. (English) Zbl 1543.05048

Discrete Math. 347, No. 10, Article ID 114099, 13 p. (2024).

MSC: 05C15 05B15 05B30 05C75

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Callahan, Aurora; Hasson, Emma R.; Minden, Kaethe; Ollis, M. A.; Zhu, Xinyue

Uniquely completable and critical subsets of the integer addition table. (English) Zbl 1542.05021

Australas. J. Comb. 89, Part 1, 137-166 (2024).

MSC: 05B15

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Romanov, Alexander M.

Perfect mixed codes from generalized Reed-Muller codes. (English) Zbl 07854049

Des. Codes Cryptography 92, No. 6, 1747-1759 (2024).

MSC: 94B05 94B25 05B15

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Meng, Zhaoping; Gao, Qingling; Wu, Zhanggui

A recursive construction of doubly resolvable Steiner quadruple systems. (English) Zbl 07854041

Des. Codes Cryptography 92, No. 6, 1517-1531 (2024).

Reviewer: Dean Crnković (Rijeka)

MSC: 05B05 05B15 05B07 51E10

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Cambie, Stijn

Bounds and monotonicity of critical set parameters of colourings. (English) Zbl 1539.05032

Discrete Math. 347, No. 7, Article ID 114041, 10 p. (2024).

MSC: 05C15 05C35 05B15

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Ball, Simeon; Serra, Oriol

A course in combinatorics and graphs. (English) Zbl 07850140

Compact Textbooks in Mathematics. Cham: Birkhäuser (ISBN 978-3-031-55383-7/pbk; 978-3-031-55384-4/ebook). xi, 172 p. (2024).

MSC: 05-01 05B25 05B15 05A15 05C15 05C35

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Van Maldeghem, Hendrik

The geometry of the Freudenthal-Tits magic square. (English) Zbl 07844516

Ivanov, Alexander A. (ed.), Algebraic combinatorics and the monster group. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 487, 289-326 (2024).

Reviewer: Luca Giuzzi (Brescia)

MSC: 51E24 05B15

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Tan, Yuli; Zhou, Junling

Partition of ordered triples into uniform holey ordered designs. (English) Zbl 1536.05057

J. Comb. Des. 32, No. 5, 274-293 (2024).

MSC: 05B05 05B07 05B15

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Bahmanian, Amin

Toward a three-dimensional counterpart of Cruse’s theorem. (English) Zbl 1536.05081

Proc. Am. Math. Soc. 152, No. 5, 1947-1959 (2024).

MSC: 05B15 05C70 05C65 05C15

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Abiad, Aida; De Boeck, Maarten; Zeijlemaker, Sjanne

On the existence of small strictly Neumaier graphs. (English) Zbl 1536.05481

Graphs Comb. 40, No. 3, Paper No. 51, 25 p. (2024).

MSC: 05E30 05C69 05B15 90C10

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Momihara, Koji; Suda, Sho

Strongly regular graphs from pseudocyclic association schemes. (English) Zbl 1543.05197

Graphs Comb. 40, No. 2, Paper No. 39, 12 p. (2024).

Reviewer: Chen Sheng (Harbin)

MSC: 05E30 05B15

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Potapov, V. N.; Taranenko, A. A.; Tarannikov, Yu. V.

An asymptotic lower bound on the number of bent functions. (English) Zbl 07827068

Des. Codes Cryptography 92, No. 3, 639-651 (2024).

Reviewer: Ayça Çeşmelioğlu (İstanbul)

MSC: 94D10 51E23 05B15

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Krotov, Denis S.

The classification of orthogonal arrays \(\mathrm{OA}(2048,14,2,7)\) and some completely regular codes. (English) Zbl 1535.05042

Discrete Math. 347, No. 5, Article ID 113923, 8 p. (2024).

MSC: 05B15 94B25 68R10

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Jäger, Gerold; Markström, Klas; Öhman, Lars-Daniel; Shcherbak, Denys

Enumeration of sets of mutually orthogonal Latin rectangles. (English) Zbl 1535.05017

Electron. J. Comb. 31, No. 1, Research Paper P1.53, 51 p. (2024).

MSC: 05A15 05B15 05B25 05B30

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Donovan, Diane M.; Grannell, Mike J.; Yazıcı, Emine Şule

On maximal partial Latin hypercubes. (English) Zbl 1533.05038

Des. Codes Cryptography 92, No. 2, 419-433 (2024).

MSC: 05B15 05C69 94B65

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Li, Dongliang; Cao, Haitao

New results on orthogonal arrays \(\mathrm{OA}(3,5,4n+2)\). (English) Zbl 1536.05087

J. Comb. Theory, Ser. A 204, Article ID 105864, 23 p. (2024).

MSC: 05B15 05B05

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O’Brien, Cian

Weighted projections of alternating sign matrices: Latin-like squares and the ASM polytope. (English) Zbl 1533.05040

Electron. J. Comb. 31, No. 1, Research Paper P1.10, 16 p. (2024).

Reviewer: Ian M. Wanless (Clayton)

MSC: 05B15 05B20 52B05

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Othman, Abeer; Berger, Eli

Almost fair perfect matchings in complete bipartite graphs. (English) Zbl 1533.05217

Discrete Math. 347, No. 4, Article ID 113865, 17 p. (2024).

MSC: 05C70 05B15

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Küçükçifçi, Selda; Yazıcı, Emine Şule

Orthogonal cycle systems with cycle length less than 10. (English) Zbl 1529.05092

J. Comb. Des. 32, No. 1, 31-45 (2024).

MSC: 05C38 05B15 05B30

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Allsop, Jack; Wanless, Ian M.

Row-Hamiltonian Latin squares and Falconer varieties. (English) Zbl 1531.05034

Proc. Lond. Math. Soc. (3) 128, No. 1, Article ID e12575, 28 p. (2024).

MSC: 05B15 05C70 08B99 20N05

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Colbourn, Charles J.

Covering perfect hash families and covering arrays of higher index. (English) Zbl 1529.05026

Int. J. Group Theory 13, No. 3, 293-305 (2024).

MSC: 05B15 20B25 51E20

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Nordgren, Ronald P.

Compound Lucas magic square matrices. (English) Zbl 1536.05091

Discrete Math. 347, No. 3, Article ID 113802, 7 p. (2024).

Reviewer: Peter Horák (Tacoma)

MSC: 05B15

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Chia, Gek L.; Kok, Wai Keong

Self-complementary magic squares of singly even orders. (English) Zbl 1531.05035

J. Integer Seq. 27, No. 1, Article 24.1.4, 12 p. (2024).

Reviewer: Ian M. Wanless (Clayton)

MSC: 05B15 00A08

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Cararo, Cintia Izabel; Morais de Almeida, Sheila; Nunes da Silva, Cândida

Further split graphs known to be class 1 and a characterization of subgraph-overfull split graphs. (English) Zbl 1530.05039

Discrete Appl. Math. 345, 114-124 (2024).

MSC: 05C15 05B15 68Q25

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Vishwakarma, Chandan Kumar; Singh, Rajesh P.

Some results on complete permutation polynomials and mutually orthogonal Latin squares. (English) Zbl 1543.11108

Finite Fields Appl. 93, Article ID 102320, 27 p. (2024).

Reviewer: Ian M. Wanless (Clayton)

MSC: 11T06 05B15

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Esfahani, Navid Nasr; Stinson, Douglas R.

Rectangular, range, and restricted AONTs: three generalizations of all-or-nothing transforms. (English) Zbl 1527.94037

Adv. Math. Commun. 18, No. 1, 26-38 (2024).

MSC: 94A60 05B15

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Cvetko-Vah, Karin; Kinyon, Michael; Pisanski, Tomaž

On elementary, odd, semimagic and other classes of antilattices. (English) Zbl 07773273

J. Algebra Appl. 23, No. 1, Article ID 2450012, 22 p. (2024).

MSC: 06B75 05A15 05A17 03G10 11P99

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Fahimi, Peyman

Binary color-coded magic squares: a study of uniqueness under rotation/reflection, PCA, and LDA analysis. (English) Zbl 1525.05014

Discrete Math. 347, No. 1, Article ID 113708, 8 p. (2024).

MSC: 05B15 05A05

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Krotov, Denis S.; Potapov, Vladimir N.

An upper bound on the number of frequency hypercubes. (English) Zbl 1525.05015

Discrete Math. 347, No. 1, Article ID 113657, 9 p. (2024).

MSC: 05B15

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Donley, Robert W.; Gates, S. James; Hübsch, Tristan; Nath, Rishi

A combinatorial introduction to Adinkras. arXiv:2410.12834

Preprint, arXiv:2410.12834 [math.HO] (2024).

MSC: 05C22 05C70 05B15 81Q60 81V72

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Perezhogin, A. L.; Potapov, V. N.; Taranenko, A. A.; Vladimirov, S. Yu.

Characterization of polystochastic matrices of order \(4\) with zero permanent. arXiv:2410.09546

Preprint, arXiv:2410.09546 [math.CO] (2024).

MSC: 15B51 15A15 05D15 05B15

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Morini, Fiorenza; Pellegrini, Marco Antonio

Signed magic arrays: existence and constructions. arXiv:2410.04101

Preprint, arXiv:2410.04101 [math.CO] (2024).

MSC: 05B15 05C78 05B30

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Allsop, Jack; Wanless, Ian M.

Subsquares in random Latin squares. arXiv:2409.08446

Preprint, arXiv:2409.08446 [math.CO] (2024).

MSC: 05B15

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Culus, Jean-François; Toulouse, Sophie

Deriving differential approximation results for \(k\,\)CSPs from combinatorial designs. arXiv:2409.03903

Preprint, arXiv:2409.03903 [math.CO] (2024).

MSC: 90C27 68W25 05B30 05B15

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Javaheri, Mohammad; de Wolf, Lydia

Harmonious sequences in groups with a unique involution. arXiv:2408.16207

Preprint, arXiv:2408.16207 [math.GR] (2024).

MSC: 05E16 20D60 05B15

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Morini, Fiorenza; Pellegrini, Marco Antonio; Sora, Stefania

On a conjecture by Sylwia Cichacz and Tomasz Hinc, and a related problem. arXiv:2408.04897

Preprint, arXiv:2408.04897 [math.CO] (2024).

MSC: 05B15 05C78 05B30

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Kumar, Satish; Singh, Harshdeep; Gupta, Indivar; Gupta, Ashok Ji

Symmetric Encryption Scheme Based on Quasigroup Using Chained Mode of Operation. arXiv:2408.04490

Preprint, arXiv:2408.04490 [cs.CR] (2024).

MSC: 20N05 05B15 94A60 68W20

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Malyutina, Nadezhda; Popov, Alexander; Shcherbacov, Victor

An encryption algorithm using a generalization of the Markovski algorithm and a system of orthogonal operations based on T-quasigroups. arXiv:2407.14858

Preprint, arXiv:2407.14858 [cs.CR] (2024).

MSC: 20N15 20N05 05B15 94A60

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Dukes, Peter J.; Lamken, Esther R.

Duplicated Steiner triple systems with self-orthogonal near resolutions. arXiv:2406.15614

Preprint, arXiv:2406.15614 [math.CO] (2024).

MSC: 05B07 05B15

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Rome, Nick; Yamagishi, Shuntaro

On the existence of magic squares of powers. arXiv:2406.09364

Preprint, arXiv:2406.09364 [math.NT] (2024).

MSC: 11D45 05B15 11D72 11G35 11P55

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Flores, Daniel

A circle method approach to K-multimagic squares. arXiv:2406.08161

Preprint, arXiv:2406.08161 [math.NT] (2024).

MSC: 11D45 11D72 11P55 11E76 11L07 05B15 05B20

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Curtin, Brian

Terwilliger algebras constructed from Cayley tables of finite Bol loops. arXiv:2405.11645

Preprint, arXiv:2405.11645 [math.RA] (2024).

MSC: 05E30 05B15 20N05

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Gill, Michael J.; Mammoliti, Adam; Wanless, Ian M.

Canonical labelling of Latin squares in average-case polynomial time. arXiv:2402.06205

Preprint, arXiv:2402.06205 [math.CO] (2024).

MSC: 05B15

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Torres, Jaziel; Rubio, Ivelisse

Multidimensional Costas arrays and their periodicity. (English) Zbl 07883290

IEEE Trans. Inf. Theory 69, No. 8, 5032-5040 (2023).

MSC: 05B15 94A05

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Mariot, Luca; Manzoni, Luca

Building correlation immune functions from sets of mutually orthogonal cellular automata. (English) Zbl 07855518

Manzoni, Luca (ed.) et al., Cellular automata and discrete complex systems. 29th IFIP WG 1.5 international workshop, AUTOMATA 2023, Trieste, Italy, August 30 – September 1, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 14152, 153-164 (2023).

MSC: 68Q80

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Jäger, Gerold; Markström, Klas; Shcherbak, Denys; Öhman, Lars-Daniel

Small Youden rectangles, near Youden rectangles, and their connections to other row-column designs. (English) Zbl 1536.05050

Discrete Math. Theor. Comput. Sci. 25, No. 1, Paper No. 9, 28 p. (2023).

MSC: 05B05 05B15 62K10

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Karmakar, Sayantani; Varghese, Cini; Jaggi, Seema; Harun, Mohd

Partially balanced t-designs. (English) Zbl 07830444

Commun. Stat., Simulation Comput. 52, No. 12, 6141-6148 (2023).

MSC: 62-XX

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Pandey, Ashish Kumar; Sharma, Brajesh Kumar

A note on magic squares and magic constants. (English) Zbl 07826408

Appl. Math. E-Notes 23, 577-582 (2023).

Reviewer: Mahadi Ddamulira (Kampala)

MSC: 11B83 11D25 11D45 05B15

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Warnke, Lutz; Correll, Bill; Swanson, Christopher N.

The density of Costas arrays decays exponentially. (English) Zbl 1534.05006

IEEE Trans. Inf. Theory 69, No. 1, 575-581 (2023).

MSC: 05B15 94A12

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Yeliussizov, Damir

Stability of the Levi-Civita tensors and an Alon-Tarsi type theorem. (English) Zbl 07811803

C. R., Math., Acad. Sci. Paris 361, 1367-1373 (2023).

MSC: 14L24 15A72 13A50 14N07 05E14 05B15 05B35

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Borisenko, V. V.

\(k\)-homogeneous Latin squares, their transversals and condition of pseudo-orthogonality. (Russian. English summary) Zbl 1533.05037

Mat. Vopr. Kriptografii 14, No. 3, 75-84 (2023).

MSC: 05B15

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Aulet, R. R.; Peñate, A. A.

On properties of some sequences generated by shift registers and Latin squares. (English) Zbl 1537.94038

Mat. Vopr. Kriptografii 14, No. 3, 35-47 (2023).

MSC: 94A55 94A17 05B15

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Falcón, Raúl M.; Álvarez, Víctor; Armario, José Andrés; Frau, María Dolores; Gudiel, Félix; Güemes, María Belén

A computational approach to analyze the Hadamard quasigroup product. (English) Zbl 1532.05021

Electron. Res. Arch. 31, No. 6, 3245-3263 (2023).

MSC: 05B15 05B20 68W30

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Lazoryk, A. B.; Melnyk, H. V.; Melnyk, V. S.

Application of generative functions to the problems of maximum chess arrangements of \(n\) figures. (English) Zbl 07799285

Bukovyn. Mat. Zh. 11, No. 2, 51-58 (2023).

MSC: 05A15 05B15 90C27

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Kharaghani, Hadi; Pender, Thomas; Land, Caleb Van’t; Zaitsev, Vlad

Bush-type Butson Hadamard matrices. (English) Zbl 1535.05045

Glas. Mat., III. Ser. 58, No. 2, 247-257 (2023).

Reviewer: Guillermo Nuñez Ponasso (Worcester, MA)

MSC: 05B20 05B15

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Amanov, Alimzhan; Yeliussizov, Damir

Fundamental invariants of tensors, Latin hypercubes, and rectangular Kronecker coefficients. (English) Zbl 1543.15018

Int. Math. Res. Not. 2023, No. 20, 17552-17599 (2023).

Reviewer: Elitza Hristova (Sofia)

MSC: 15A72 15A69 05B15 05A17 05B20 13A50

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Chaluvaraju, B.; Basha, Shaikh Ameer

Existence of Latin square designs arising from classical graph parameters. (English) Zbl 1538.05026

Electron. J. Math. Anal. Appl. 11, No. 1, 162-173 (2023).

MSC: 05B15 05C69 05E30

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Kubota, Sho; Suda, Sho; Urano, Akane

Mutually orthogonal Sudoku Latin squares and their graphs. (English) Zbl 1533.05039

Graphs Comb. 39, No. 6, Paper No. 122, 26 p. (2023).

MSC: 05B15 05C50

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Drápal, Aleš; Wanless, Ian M.

Isomorphisms of quadratic quasigroups. (English) Zbl 1529.20102

Proc. Edinb. Math. Soc., II. Ser. 66, No. 4, 1085-1109 (2023).

MSC: 20N05 05B05 05B15 05B07

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Costa, Simone; Della Fiore, Stefano

Existence of \(\lambda\)-fold non-zero sum Heffter arrays through local considerations. (English) Zbl 1527.05030

Australas. J. Comb. 87, Part 2, 301-339 (2023).

MSC: 05B30 05B15 05C75

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Levet, Michael

On the complexity of identifying strongly regular graphs. (English) Zbl 1527.05178

Australas. J. Comb. 87, Part 1, 41-67 (2023).

MSC: 05E30 05B15 05C60

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Bahmanian, Amin

Symmetric layer-rainbow colorations of cubes. (English) Zbl 1528.05009

SIAM J. Discrete Math. 37, No. 4, 2617-2625 (2023).

Reviewer: V. Yegnanarayanan (Chennai)

MSC: 05B15 05C70 05C65 05C15

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Wilson, Robert A.; Dray, Tevian; Manogue, Corinne A.

An octonionic construction of \(E_8\) and the Lie algebra magic square. (English) Zbl 07770766

Innov. Incidence Geom. 20, No. 2-3, 611-634 (2023).

MSC: 17B25 05B15

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Colbourn, Charles J.; Syrotiuk, Violet R.

Detecting arrays for effects of single factors. (English) Zbl 1526.05029

Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 693-718 (2023).

MSC: 05B40 05B15 68R05 94B05

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Liu, Sijia; Han, Yue; Ma, Lijun; Wang, Lidong; Tian, Zihong

A generalization of group divisible \(t\)-designs. (English) Zbl 1526.05024

J. Comb. Des. 31, No. 11, 575-603 (2023).

MSC: 05B30 05B15

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Ginsberg, Hy

Totally symmetric quasigroups of order 16. (English) Zbl 1526.05018

J. Comb. Des. 31, No. 10, 531-542 (2023).

MSC: 05B15 20N05

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Allsop, Jack

Cycles of quadratic Latin squares and antiperfect 1-factorisations. (English) Zbl 1527.05027

J. Comb. Des. 31, No. 9, 447-475 (2023).

Reviewer: Ian M. Wanless (Clayton)

MSC: 05B15 05C70

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Schmidt, Kai-Uwe; Weiß, Charlene

Existence of small ordered orthogonal arrays. (English) Zbl 1526.05020

J. Comb. Des. 31, No. 9, 422-431 (2023).

MSC: 05B15 05D40

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Morini, Fiorenza; Pellegrini, Marco Antonio

Magic partially filled arrays on abelian groups. (English) Zbl 1526.05019

J. Comb. Des. 31, No. 8, 347-367 (2023).

MSC: 05B15 05B30

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Castoldi, André Guerino; Monte Carmelo, Emerson L.; Moura, Lucia; Panario, Daniel; Stevens, Brett

Ordered covering arrays and upper bounds on covering codes. (English) Zbl 1534.94140

J. Comb. Des. 31, No. 6, 304-329 (2023).

Reviewer: Todor Todorov (Veliko Tarnovo)

MSC: 94B65 94B75 05B15

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Dong, Xiaoyuan; Wang, Jinhua

Frames and doubly resolvable group divisible designs with block size three and index two. (English) Zbl 1533.05035

Graphs Comb. 39, No. 5, Paper No. 109, 22 p. (2023).

Reviewer: Giovanni Falcone (Udine)

MSC: 05B05 05B15 05B30 94B25

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Bao, Jingjun

Constructions of column-orthogonal strong orthogonal arrays via matchings of bipartite graphs. (English) Zbl 1527.05028

Des. Codes Cryptography 91, No. 11, 3741-3755 (2023).

Reviewer: Ian M. Wanless (Clayton)

MSC: 05B15

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Castoldi, André Guerino; Martinhão, Anderson Novaes; Monte Carmelo, Emerson L.; dos Santos, Otávio J. N. T. N.

Covering schemes of strength \(t\). (English) Zbl 1526.05113

Des. Codes Cryptography 91, No. 11, 3563-3580 (2023).

MSC: 05C70 05B20 05B15 05B40

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Jankar, Jeevan; Yang, Jie; Mandal, Abhyuday

A general equivalence theorem for crossover designs under generalized linear models. (English) Zbl 1541.05016

Sankhyā, Ser. B 85, No. 2, 344-364 (2023).

MSC: 05B15 62J12 62K05 62L05

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Gould, Stephen; Kelly, Tom

Hamilton transversals in random Latin squares. (English) Zbl 1522.05019

Random Struct. Algorithms 62, No. 2, 450-478 (2023).

MSC: 05B15 05D15 05C80 05C15

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Kwan, Matthew; Sah, Ashwin; Sawhney, Mehtaab; Simkin, Michael

Substructures in Latin squares. (English) Zbl 1522.05021

Isr. J. Math. 256, No. 2, 363-416 (2023).

MSC: 05B15 05B07

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Prajnanaswaroopa, Shantharam; Geetha, Jayabalan; Somasundaram, Kanagasabapathi

Total, equitable and neighbor-sum distinguishing total colorings of some classes of circulant graphs. (English) Zbl 1522.05137

Bull. Inst. Comb. Appl. 99, 116-132 (2023).

MSC: 05C15 05C25 05B15 68Q17

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Jain, V. K.; Pradhan, R.

The structure of the orthomorphism graph of \(\mathbb{Z}_2\times\mathbb{Z}_4\). (English) Zbl 07745832

Acta Math. Hung. 170, No. 2, 670-680 (2023).

Reviewer: Ian M. Wanless (Clayton)

MSC: 05C25 05C76 05B15 20D60

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Ahmad, Hussain; Hannusch, Carolin

A new keyed hash function based on Latin squares and error-correcting codes to authenticate users in smart home environments. (English) Zbl 07745632

El Hajji, Said (ed.) et al., Codes, cryptology and information security. 4th international conference, C2SI 2023, Rabat, Morocco, May 29–31, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13874, 129-135 (2023).

MSC: 68M25 68P25 94A60 05B15 94Bxx

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Rahim, Fahim; Cavenagh, Nicholas J.

Mutually orthogonal frequency rectangles. (English) Zbl 1522.05024

Discrete Math. 346, No. 12, Article ID 113606, 18 p. (2023).

MSC: 05B20 05B15

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Wong, Dein; Wang, Sai; Yin, Jiahui

The number of distinct cycle lengths in the cycle structure of an automorphism on an abelian group. (English) Zbl 1523.20097

Discrete Math. 346, No. 12, Article ID 113590, 9 p. (2023).

Reviewer: Peter Danchev (Sofia)

MSC: 20K30 05B15

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Galatenko, A. V.; Nosov, V. A.; Pankratiev, A. E.; Tsaregorodtsev, K. D.

Proper families of functions and their applications. (English) Zbl 1521.94044

Mat. Vopr. Kriptografii 14, No. 2, 43-58 (2023).

MSC: 94A60 05B15 20N05

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Found 4,902 Documents (Results 1–100)

The existence problem for strong complete mappings of finite groups. (English) Zbl 07924262

Off-diagonally symmetric domino tilings of the Aztec diamond of odd order. (English) Zbl 07923888

Cats in cubes. (English) Zbl 07922003

On the spectrum of large sets plus of partitioned incomplete Latin squares of type \(g^n (2g)^1\). (English) Zbl 07921205

Self-orthogonal Latin squares and room squares. (English) Zbl 07921204

Mutually orthogonal binary frequency squares of mixed type. (English) Zbl 07921190

Optimal ordered covering arrays via an exact algorithm. (English) Zbl 07919948

On some extensions of mutually orthogonal graph squares. (English) Zbl 07919947

The gonality of queen’s graphs. (English) Zbl 07919623

Computing random \(r\)-orthogonal Latin squares. (English) Zbl 07914101

Some new families of asymmetric nested orthogonal arrays with any strength. (English) Zbl 07913939

A new class of strong orthogonal arrays of strength three. (English) Zbl 07903355

\((2, w)\)-threshold schemes constructed from orthogonal resolutions. (English) Zbl 07896085

New results on large sets of orthogonal arrays and orthogonal arrays. (English) Zbl 07893962

Construction of balanced semi-Latin rectangles in block size four: an algorithmic approach. (English) Zbl 1542.62102

Doubly sequenceable groups. (English) Zbl 07885206

On degree-3 and \((n - 4)\)-correlation-immune perfect colorings of \(n\)-cubes. (English) Zbl 1543.05056

Difference schemes of strength \(t\) over finite commutative rings. (English) Zbl 1543.05014

Color trades on \(n\)-cubes and complete bipartite graphs. (English) Zbl 1543.05048

Uniquely completable and critical subsets of the integer addition table. (English) Zbl 1542.05021

Perfect mixed codes from generalized Reed-Muller codes. (English) Zbl 07854049

A recursive construction of doubly resolvable Steiner quadruple systems. (English) Zbl 07854041

Bounds and monotonicity of critical set parameters of colourings. (English) Zbl 1539.05032

A course in combinatorics and graphs. (English) Zbl 07850140

The geometry of the Freudenthal-Tits magic square. (English) Zbl 07844516

Partition of ordered triples into uniform holey ordered designs. (English) Zbl 1536.05057

Toward a three-dimensional counterpart of Cruse’s theorem. (English) Zbl 1536.05081

On the existence of small strictly Neumaier graphs. (English) Zbl 1536.05481

Strongly regular graphs from pseudocyclic association schemes. (English) Zbl 1543.05197

An asymptotic lower bound on the number of bent functions. (English) Zbl 07827068

The classification of orthogonal arrays \(\mathrm{OA}(2048,14,2,7)\) and some completely regular codes. (English) Zbl 1535.05042

Enumeration of sets of mutually orthogonal Latin rectangles. (English) Zbl 1535.05017

On maximal partial Latin hypercubes. (English) Zbl 1533.05038

New results on orthogonal arrays \(\mathrm{OA}(3,5,4n+2)\). (English) Zbl 1536.05087

Weighted projections of alternating sign matrices: Latin-like squares and the ASM polytope. (English) Zbl 1533.05040

Almost fair perfect matchings in complete bipartite graphs. (English) Zbl 1533.05217

Orthogonal cycle systems with cycle length less than 10. (English) Zbl 1529.05092

Row-Hamiltonian Latin squares and Falconer varieties. (English) Zbl 1531.05034

Covering perfect hash families and covering arrays of higher index. (English) Zbl 1529.05026

Compound Lucas magic square matrices. (English) Zbl 1536.05091

Self-complementary magic squares of singly even orders. (English) Zbl 1531.05035

Further split graphs known to be class 1 and a characterization of subgraph-overfull split graphs. (English) Zbl 1530.05039

Some results on complete permutation polynomials and mutually orthogonal Latin squares. (English) Zbl 1543.11108

Rectangular, range, and restricted AONTs: three generalizations of all-or-nothing transforms. (English) Zbl 1527.94037

On elementary, odd, semimagic and other classes of antilattices. (English) Zbl 07773273

Binary color-coded magic squares: a study of uniqueness under rotation/reflection, PCA, and LDA analysis. (English) Zbl 1525.05014

An upper bound on the number of frequency hypercubes. (English) Zbl 1525.05015

Multidimensional Costas arrays and their periodicity. (English) Zbl 07883290

Building correlation immune functions from sets of mutually orthogonal cellular automata. (English) Zbl 07855518

Small Youden rectangles, near Youden rectangles, and their connections to other row-column designs. (English) Zbl 1536.05050

Partially balanced t-designs. (English) Zbl 07830444

A note on magic squares and magic constants. (English) Zbl 07826408

The density of Costas arrays decays exponentially. (English) Zbl 1534.05006

Stability of the Levi-Civita tensors and an Alon-Tarsi type theorem. (English) Zbl 07811803

\(k\)-homogeneous Latin squares, their transversals and condition of pseudo-orthogonality. (Russian. English summary) Zbl 1533.05037

On properties of some sequences generated by shift registers and Latin squares. (English) Zbl 1537.94038

A computational approach to analyze the Hadamard quasigroup product. (English) Zbl 1532.05021

Application of generative functions to the problems of maximum chess arrangements of \(n\) figures. (English) Zbl 07799285

Bush-type Butson Hadamard matrices. (English) Zbl 1535.05045

Fundamental invariants of tensors, Latin hypercubes, and rectangular Kronecker coefficients. (English) Zbl 1543.15018