New upper bounds on the smallest size of a complete cap in the spaces PG(3,q) and PG(4,q), Ars Combinatoria, vol. 147, Oct. 2019, pp. 87-96 Go to publication
Tables, bounds and graphics of sizes of complete arcs in the plane PG(2,q) for all q ≤ 321007 and sporadic q in [323761 ... 430007] obtained by an algorithm with fixed order of points (FOP), electronic publication, arXiv:11404.0469[math.CO], 111 pages, 8 figures, 6 tables, 92 references, January 2018 Go to publicationDownload (1.5 MB)
Upper bounds on the smallest size of a
complete cap in PG(3, q) and PG(4, q), Electronic Notes in Discrete Mathematics, vol. 57, Algebraic and Combinatorial Coding Theory, pp. 21–26, 2017 Go to publicationDownload (235.5 KB)
Upper bounds on the smallest size of a complete cap in PG(3; q) and PG(4; q), in Proceedings XV Int. Workshop on Algebraic and Combinatorial Coding Theory, ACCT2016, Albena, Bulgaria, June 18--24, 2016,
pp. 19--26. Download (283 KB)
Tables, bounds and graphics of the smallest
known sizes of complete caps in the spaces PG(3,q) and PG(4,q), electronic publication, arXiv:1610.09656[math.CO], 26 pages, October 2016 Go to publicationDownload (293.8 KB)
Upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane based on computer search, DOI: 10.1007/s00022-015-0277-z, Journal of Geometry, vol. 107, no. 1, pp. 89-117, 2016
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Tables, bounds and graphics of sizes of complete lexiarcs in the plane PG(2, q) for all q ≤ 301813 and sporadic q in the interval [301897 . . . 430007] obtained by an algorithm
with fixed order of points (FOP), electronic publication, arXiv:1404.0469v2[math.CO], 114 pages, July 2015
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Tables, bounds and graphics of the smallest known sizes of complete arcs in the plane PG(2,q) for all q ≤ 160001 and sporadic q in the interval [160801...430007], electronic publication, arXiv:1312.2155v3 [math.CO], 85 pages, June 2015
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Kreshchuk A.A., Zyablov V.V. Generalized concatenated system with embedded space-time codes for MIMO systems // Journal of Communications Technology and Electronics. 2014. Ò. 59. ¹ 12. Ñ. 1489–1500. Go to publication
Kreshchuk A., Zyablov V. Embedded space-time block codes for concatenated systems // 2014 XIV International Symposium on Problems of Redundancy in Information and Control Systems. 2014. Go to publication
Kreshchuk A., Zyablov V., Ryabinkin E. A new iterative decoder for product codes // Fourteenth International Workshop on Algebraic and Combinatorial Coding Theory ACCT2014. — 2014. — Pp. 211–214. Download (68.6 KB)
Kreshchuk A., Zyablov V. Generalized concatenated MIMO system with GMD decoding // Turbo Codes and Iterative Information Processing (ISTC), 2014 8th International Symposium on. — Aug. 2014. — Pp. 259–263. — DOI: 10.1109/ISTC.2014.6955125.
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Upper bounds on the smallest size of a complete arc in PG(2,q) under a certain probabilistic conjecture,
Problems of Information Transmission, 2014, vol. 50, no. 4, pp 320-339 Go to publicationDownload (539.9 KB)
2014 year
Authors: Bartoli D., Davydov A., Faina G., Kreshchuk A., Marcugini S., Pambianco F., Tkachenko I.
Upper bounds on the smallest sizes of a complete arc in PG(2,q) based on computer search, in Proceedings XIV International Workshop on Algebraic and Combinatorial Coding Theory, ACCT2014, Svetlogorsk , Russia, 2014,32-40 Go to publicationDownload (363.9 KB)
Conjectural upper bounds on the smallest size of a complete arc in PG(2,q) based on an analysis of step-by-step greedy algorithms, in Proceedings XIV International Workshop on Algebraic and Combinatorial Coding Theory, ACCT2014, Svetlogorsk , Russia, 2014, 24-31 Go to publicationDownload (188.6 KB)
Tables of sizes of small complete arcs in the plane PG(2, q), q ≤ 410009, electronic publication, arXiv:1312.2155v2 [math.CO], 89 pages, August 2014 Go to publicationDownload (760.3 KB)
Statistical demodulators for frequency shift keying with fast frequency hopping. Automation and Remote Control Volume: 74 Issue: 10 Pages: 1688-1695 Go to publication
Tables of sizes of small complete arcs in the plane
PG(2, q), q ≤ 360007, electronic publication, arXiv:1312.2155v1 [math.CO], 71 pages, December 2013 Go to publicationDownload (472.9 KB)
Two types of upper bounds on the smallest size of a complete arc in the plane PG(2,q),
in Proceedings VII International Workshop on Optimal Codes and Related Topics, OC2013, Albena,
Bulgaria, 2013, pp. 19-25 Go to publicationDownload (287.1 KB)
New Coded Modulation for the Frequency Hoping OFDMA System
// Thirteenth InternationalWorkshop on Algebraic and Combinational Coding Theory, Pomorje, Bulgaria, 15 – 21 June 2012, 209–212.
On some MIMO coded modulations based on hadamard matrices
// Problems of Redundancy in Information and Control Systems (RED), 2012 XIII International Symposium on
Publication Year: 2012 , Page(s): 35 - 36 Go to publication
A.A. Kreshchuk, A.A. Davydov, and V.V. Zyablov, Codes for MIMO transmission based on orthogonal sequences, Problems of Information Transmission, vol. 47 (2011) 305--326.
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