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2001, Advanced studies in pure mathematics, ISBN 9784931469150, Volume 32, 474
Book
Graphs and Combinatorics, ISSN 0911-0119, 08/2019
Journal Article
Designs, Codes, and Cryptography, ISSN 0925-1022, 07/2017, Volume 84, Issue 1-2, pp. 23 - 53
A relative t-design in the binary Hamming association schemes H(n, 2) is equivalent to a weighted regular t-wise balanced design, i.e., certain combinatorial... 
Hamming association scheme | Regular t-wise balanced design | Tight design | Hadamard design | Relative t-design | MATHEMATICS, APPLIED | 2-DESIGNS | COMPUTER SCIENCE, THEORY & METHODS | TIGHT
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2019
Journal Article
European Journal of Combinatorics, ISSN 0195-6698, 2009, Volume 30, Issue 6, pp. 1392 - 1425
This survey is mainly intended for non-specialists, though we try to include many recent developments that may interest the experts as well. We want to study... 
MATHEMATICS | QUANTUM-ERROR-CORRECTION | UPPER-BOUNDS | TERWILLIGER ALGEBRA | CODES | NUMERICAL CUBATURE | CONSTRUCTION | COMPACT SYMMETRIC-SPACES | TIGHT T-DESIGNS | POINTS | ASSOCIATION SCHEMES
Journal Article
European Journal of Combinatorics, ISSN 0195-6698, 08/2019, Volume 80, pp. 23 - 36
Each nontrivial shell (i.e., subconstituent) of the Johnson association scheme is known to be a commutative association scheme which is the product of two... 
RELATIVE 2-DESIGNS | MATHEMATICS | THEOREM | Algebra
Journal Article
Journal of Applied Mathematics and Computing, ISSN 1598-5865, 10/2012, Volume 40, Issue 1, pp. 195 - 207
Journal Article
Discrete Mathematics, ISSN 0012-365X, 02/2016, Volume 339, Issue 2, pp. 957 - 973
There exist many tight relative 2-designs on two shells in binary Hamming association schemes and each such design has the structure of a coherent... 
Tight design | Coherent configuration | Relative [formula omitted]-design | Johnson association scheme | Relative t-design | MATHEMATICS | DESIGNS
Journal Article
Archiv der Mathematik, ISSN 0003-889X, 05/2018, Volume 110, Issue 5, pp. 459 - 466
We investigate several antipodal spherical designs on which we can choose half of the points, one from each antipodal pair, such that they are balanced at the... 
Antipodal | Spherical design | Leech lattice | MATHEMATICS
Journal Article
Discrete Mathematics, ISSN 0012-365X, 01/2014, Volume 314, Issue 1, pp. 17 - 37
It is known that there is a close analogy between “Euclidean -designs vs. spherical -designs” and “Relative -designs in binary Hamming association schemes vs.... 
Tight design | Regular semi-lattice | Regular [formula omitted]-wise balanced design | Relative [formula omitted]-design | Hamming scheme | Regular t-wise balanced design | Relative t-design | MATHEMATICS | SPHERICAL DESIGNS | 4-DESIGNS | T-DESIGNS | Construction | Analogies | Mathematical analysis | Weight function | Coherence | Shells | Concentric spheres | Combinatorial analysis
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 1/2014, Volume 30, Issue 1, pp. 203 - 227
The concept of relative t-designs for Q-polynomial association schemes is due to Delsarte (Philips Res Rep 32:373–411, 1997). We formulate Fisher type lower... 
Relative t-design | Mathematics | Tight design | Engineering Design | Combinatorics | Hamming scheme | Association scheme | MATHEMATICS | DESIGNS | Associations, institutions, etc | Societies | Polynomials | Combinatorial analysis
Journal Article
Journal of Combinatorial Theory, Series A, ISSN 0097-3165, 09/2013, Volume 120, Issue 7, pp. 1575 - 1577
It is shown that, for any given pair of positive integers and , there are only finitely many non-trivial 2 - designs where the number of blocks is equal to . 
t-[formula omitted] design | t-Design | Fisher type bound | Tight design | T-Design | T-(v,k,λ) design | MATHEMATICS | t-(v, k, lambda) design
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 08/2011, Volume 44, Issue 34, pp. 342002 - 7
In this communication, we give counterexamples for the conjecture in Crann-Pereira-Kribs' paper about anticoherent spin states. 
PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Mathematical analysis | Paper
Journal Article
Discrete Mathematics, ISSN 0012-365X, 11/2012, Volume 312, Issue 22, pp. 3283 - 3292
We classify the maximal m -distance sets in R n - 1 which contain the representation of the Johnson graph J (n , m) for m = 2 , 3 . Furthermore, we determine... 
Mathematical analysis | Classification | Graphs | Representations
Journal Article
Discrete Mathematics, ISSN 0012-365X, 11/2012, Volume 312, Issue 22, pp. 3283 - 3292
Journal Article
1999, 3rd ed., Grundlehren der mathematischen Wissenschaften, ISBN 0387985859, Volume 290, lxxiv, 703
Book
Journal of Approximation Theory, ISSN 0021-9045, 07/2015, Volume 195, pp. 1 - 18
Spherical -design is a finite subset on sphere such that, for any polynomial of degree at most , the average value of the integral on sphere can be replaced by... 
Spherical design of harmonic index | Equiangular lines | Fisher type inequality | MATHEMATICS
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 1/2017, Volume 33, Issue 1, pp. 1 - 41
Journal Article
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