Found 752 Documents (Results 1–100)
On optimal constant weight codes derived from \(\omega\)-circulant balanced generalized weighing matrices. (English) Zbl 07926028
MSC:
94B25
Line-graceful designs. (English) Zbl 07925083
On the minisymposium problem. (English) Zbl 07924662
Orthogonal and strong frame starters: revisited. (English) Zbl 07921209
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, 393-407 (2024).
MSC:
05B30
A survey of Heffter arrays. (English) Zbl 07921208
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, 353-392 (2024).
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
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
On a class of optimal constant weight codes. (English) Zbl 07921202
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, 277-287 (2024).
MSC:
94Bxx
A survey of cover-free families: constructions, applications, and generalizations. (English) Zbl 07921199
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, 195-239 (2024).
MSC:
94Bxx
A survey on constructive methods for the Oberwolfach problem and its variants. (English) Zbl 07921192
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, 37-62 (2024).
MSC:
05C70
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
Decomposing complete graphs into isomorphic complete multipartite graphs. (English) Zbl 07921189
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, 177-194 (2024).
Flag-transitive automorphism groups of 2-designs with \(\lambda \geq (r, \lambda )^2\) are not product type. (English) Zbl 07920038
Generalized pentagonal geometries. II. (English) Zbl 07919679
Reviewer: Valentino Smaldore (Vicenza)
MSC:
05B25
Circularity in finite fields and solutions of the equations \(x^m + y^m - z^m = 1\). (English) Zbl 07905714
Combinatorial constructions of optimal low-power error-correcting cooling codes. (English) Zbl 07896619
An open problem in embedding. (English) Zbl 07896123
A class of balanced binary sequences with two-valued non-zero autocorrelation sum and good crosscorrelation sum. (English) Zbl 1543.94696
Locally repairable codes with multiple repair sets based on packings of block size 4. (English) Zbl 07880152
Extremal regular graphs and hypergraphs related to fractional repetition codes. (English) Zbl 07873228
Classical groups as flag-transitive automorphism groups of 2-designs with \(\lambda = 2\). (English) Zbl 1540.05025
Characterizing bipartite distance-regularized graphs with vertices of eccentricity 4. (English) Zbl 1539.05162
New constructions for disjoint partial difference families and external partial difference families. (English) Zbl 1536.05076
MSC:
05B10
Hadamard matrices of orders 60 and 64 with automorphisms of orders 29 and 31. (English) Zbl 1535.05043
On symmetric designs with flag-transitive and point-quasiprimitive automorphism groups. (English) Zbl 1531.05031
Completing the solution of the directed Oberwolfach problem with cycles of equal length. (English) Zbl 1532.05137
Reviewer: V. Yegnanarayanan (Chennai)
Constructing uniform 2-factorizations via row-sum matrices: solutions to the Hamilton-Waterloo problem. (English) Zbl 1527.05142
Quantum version of Euler’s problem: a geometric perspective. (English) Zbl 07914655
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXIX. Workshop, Białystok, Poland, June 19–25, 2022. Cham: Birkhäuser. Trends Math., 105-133 (2023).
Small Youden rectangles, near Youden rectangles, and their connections to other row-column designs. (English) Zbl 1536.05050
Graph and hypergraph packing. (English) Zbl 07821701
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4542-4566 (2023).
Reviewer: Tomáš Kaiser (Plzeň)
Construction of component orthogonal arrays with flexible factors. (Chinese. English summary) Zbl 07809955
MSC:
62K05
Balanced covering arrays: a classification of covering arrays and packing arrays via exact methods. (English) Zbl 1532.05034
Bush-type Butson Hadamard matrices. (English) Zbl 1535.05045
Reviewer: Guillermo Nuñez Ponasso (Worcester, MA)
Local distance antimagic chromatic number for the union of star and double star graphs. (English) Zbl 1542.05059
Ukr. Math. J. 75, No. 5, 765-781 (2023); and Ukr. Mat. Zh. 75, No. 5, 669-682 (2023).
Group divisible designs with block size five. (English) Zbl 1527.05025
MSC:
05B05
Symmetric layer-rainbow colorations of cubes. (English) Zbl 1528.05009
Reviewer: V. Yegnanarayanan (Chennai)
Scheduling to reduce close contacts: resolvable grid graph decomposition and packing. (English) Zbl 1530.92214
Block-transitive \(3\)-\((v, 4, \lambda)\) designs with sporadic or alternating socle. (English) Zbl 1527.05026
Frames and doubly resolvable group divisible designs with block size three and index two. (English) Zbl 1533.05035
Reviewer: Giovanni Falcone (Udine)
A quasidouble of the affine plane of order 4 and the solution of a problem on additive designs. (English) Zbl 1526.05017
Partially balanced incomplete block (PBIB)-designs arising from diametral paths in some strongly regular graphs. (English) Zbl 1523.05001
Splitting authentication codes with perfect secrecy: new results, constructions and connections with algebraic manipulation detection codes. (English) Zbl 1520.05019
PIR codes from combinatorial structures. (English) Zbl 1534.94108
Mesnager, Sihem (ed.) et al., Arithmetic of finite fields. 9th international workshop, WAIFI 2022, Chengdu, China, August 29 – September 2, 2022. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13638, 169-182 (2023).
Flag-transitive 2-designs with \((r - \lambda ,k)=1\) and alternating socle. (English) Zbl 1518.05031
Reduction for flag-transitive symmetric designs with \(k > \lambda(\lambda - 2)\). (English) Zbl 1518.05030
Partially balanced incomplete block (PBIB)-designs associated with geodetic sets in graphs. (English) Zbl 1516.05014
A direct proof of the non-existence of a \(\mathrm{MOL}(6)\). (English) Zbl 1519.05034
Reviewer: Ian M. Wanless (Clayton)
MSC:
05B15
On some codes from rank 3 primitive actions of the simple Chevalley group \(G_2(q) \). (English) Zbl 1521.94085
Schematic saturated orthogonal arrays obtained by using the expansive replacement method. (English) Zbl 07702516
MSC:
62-XX
Constructions for new orthogonal arrays based on large sets of orthogonal arrays. (English) Zbl 1518.05026
Reviewer: David B. Penman (Colchester)
MSC:
05B15
Almost simple groups as flag-transitive automorphism groups of symmetric designs with \(\lambda\) prime. (English) Zbl 1521.05011
Reviewer: Zhaoping Meng (Jinan)
On a pair of orthogonal golf designs. (English) Zbl 1519.05031
Reviewer: Vedran Krčadinac (Zagreb)
Schematic 4-designs. (English) Zbl 1514.05030
On the seven non-isomorphic solutions of the fifteen schoolgirl problem. (English) Zbl 1511.05024
MSC:
05B07
Flag-transitive quasi-symmetric designs with block intersection numbers 0 and 2. (English) Zbl 1515.05035
Reviewer: Giovanni Falcone (Udine)
Symmetric designs with \(\lambda \leqslant 10\) admitting flag-transitive and point-primitive almost simple automorphism groups. (English) Zbl 1514.05024
Reviewer: Zlatko Varbanov (Veliko Tarnovo)
Internal and external partial difference families and cyclotomy. (English) Zbl 1506.05035
MSC:
05B10
Generalized pentagonal geometries. (English) Zbl 1541.05021
MSC:
05B25
Perfect permutations and spatially balanced Latin squares. (Chinese. English summary) Zbl 07822563
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