N. N. Andreev, “A minimal design of order $11$ on the $3$-sphere”, Mat. Zametki, 67:4 (2000), 489–497; Math. Notes, 67:4 (2000), 417

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Matematicheskie Zametki, 2000, Volume 67, Issue 4, Pages 489–497
DOI: https://doi.org/10.4213/mzm863 (Mi mzm863)

This article is cited in 12 scientific papers (total in 12 papers)

A minimal design of order

$11$ on the

$3$ -sphere

N. N. Andreev

M. V. Lomonosov Moscow State University

Full-text PDF (218 kB) Citations (12)

References:

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DOI: https://doi.org/10.4213/mzm863

Received: 05.04.1999
Revised: 08.07.1999

English version:
Mathematical Notes, 2000, Volume 67, Issue 4, Pages 417–424
DOI: https://doi.org/10.1007/BF02676396

Bibliographic databases:

Document Type: Article

UDC: 514.174+517.5

Language: Russian

Citation: N. N. Andreev, “A minimal design of order

$11$ on the

$3$ -sphere”, Mat. Zametki, 67:4 (2000), 489–497; Math. Notes, 67:4 (2000), 417–424

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm863

https://doi.org/10.4213/mzm863

https://www.mathnet.ru/eng/mzm/v67/i4/p489

This publication is cited in the following 12 articles:

P.G. Boyvalenkov, P.D. Dragnev, D.P. Hardin, E.B. Saff, M.M. Stoyanova, “On polarization of spherical codes and designs”, Journal of Mathematical Analysis and Applications, 524:1 (2023), 127065
Hughes D., Waldron Sh., “Spherical (T, T)-Designs With a Small Number of Vectors”, Linear Alg. Appl., 608 (2021), 84–106
Boyvalenkov P.G., Dragnev P.D., Hardin D.P., Saff E.B., Stoyanova M.M., “Bounds For Spherical Codes: the Levenshtein Framework Lifted”, Math. Comput., 90:329 (2021), 1323–1356
I. A. Martyanov, “Reshenie zadachi Delsarta dlya $4$-dizainov na sfere $\mathbb{S}^{2}$”, Chebyshevskii sb., 22:3 (2021), 154–165
N. O. Kotelina, A. B. Pevnyi, “Complex spherical semi-designs”, Russian Math. (Iz. VUZ), 61:5 (2017), 46–51
A. V. Bondarenko, D. V. Gorbachev, “Minimal Weighted $4$-Designs on the Sphere $S^2$”, Math. Notes, 91:5 (2012), 738–741
M. V. Khachumov, “Distances, metrics and data clustering”, 39, no. 6, 2012, 310–316
Scott, AJ, “Optimizing quantum process tomography with unitary 2-designs”, Journal of Physics A-Mathematical and Theoretical, 41:5 (2008), 055308
St. Petersburg Math. J., 18:1 (2007), 119–139
V. A. Yudin, “Distribution of the points of a design on the sphere”, Izv. Math., 69:5 (2005), 1061–1079
N. N. Andreev, V. A. Yudin, “Polynomials of Least Deviation from Zero and Chebyshev-Type Cubature Formulas”, Proc. Steklov Inst. Math., 232 (2001), 39–51
Boyvalenkov, P, “Uniqueness of the 120-point spherical 11-design in four dimensions”, Archiv der Mathematik, 77:4 (2001), 360

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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