A. Kreshchuk - Publications

2019

Bartoli D., Davydov A., Kreshchuk A., Marcugini S., Pambianco F., 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 http://www.combinatorialmath.ca/ArsCombinatoria/Vol147.html

2018

Bartoli D., Davydov A., Faina G., Kreshchuk A., Marcugini S., Pambianco F., 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 http://iitp.ru/https://arxiv.org/abs/1404.0469

2017

Bartoli D., Davydov A., Kreshchuk A., Marcugini S., Pambianco F., 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 http://www.sciencedirect.com/science/article/pii/S1571065317300057

2016

Bartoli D., Davydov A., Kreshchuk A., Marcugini S., Pambianco F., 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.
Bartoli D., Davydov A., Kreshchuk A., Marcugini S., Pambianco F., 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 http://iitp.ru/https://arxiv.org/abs/1610.09656
Bartoli D., Davydov A., Faina G., Kreshchuk A., Marcugini S., Pambianco F., 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 http://link.springer.com/article/10.1007/s00022-015-0277-z

2015

Bartoli D., Davydov A., Faina G., Kreshchuk A., Marcugini S., Pambianco F., 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 http://arxiv.org/abs/1404.0469v2
Bartoli D., Davydov A., Faina G., Kreshchuk A., Marcugini S., Pambianco F., 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 http://arxiv.org/abs/1312.2155v3

2014

Kreshchuk A., Zyablov V., 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. http://dx.doi.org/10.1134/S1064226914120109
Kreshchuk A., Zyablov V., 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. http://dx.doi.org/10.1109/RED.2014.7016707
Kreshchuk A., Zyablov V., Ryabinkin E., 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.
Kreshchuk A., Zyablov V., 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. http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6955125
Bartoli D., Davydov A., Faina G., Kreshchuk A., Marcugini S., Pambianco F., 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 http://link.springer.com/article/10.1134%2FS0032946014040036
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 http://www.moi.math.bas.bg/acct2014/a5.pdf
Bartoli D., Davydov A., Faina G., Kreshchuk A., Marcugini S., Pambianco F., 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 http://www.moi.math.bas.bg/acct2014/a4.pdf
Bartoli D., Davydov A., Faina G., Kreshchuk A., Marcugini S., Pambianco F., 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 http://arxiv.org/abs/1312.2155

2013

Kreshchuk A., Potapov V., Statistical demodulators for frequency shift keying with fast frequency hopping. Automation and Remote Control Volume: 74 Issue: 10 Pages: 1688-1695 http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=at&paperid=6152&option_lang=rus
Bartoli D., Davydov A., Faina G., Kreshchuk A., Marcugini S., Pambianco F., 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 http://arxiv.org/abs/1312.2155v1
Bartoli D., Davydov A., Faina G., Kreshchuk A., Marcugini S., Pambianco F., 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 http://www.moi.math.bas.bg/oc2013/a3.pdf

2012

Kreshchuk A., Potapov V., 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.
Kreshchuk A., Potapov V., 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 http://dx.doi.org/10.1109/RED.2012.6338402

2011

Kreshchuk A., Davydov A., Zyablov V., 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. http://link.springer.com/article/10.1134%2FS0032946011040016