New covering codes of radius R, codimension tR and tR+R/2, and saturating sets in projective spaces, electronic publication, arXiv:1808.09301v2 [math.CO], 25 pages, 1 table, 33 references, March 2019 Go to publicationDownload (301.7 KB)
2018 year
Authors: Bartoli D., Davydov A., Giulietti M., Marcugini S., Pambianco F.
New bounds for linear codes of covering radii 2 and 3, Cryptography and Communications, Special Issue on Coding Theory and Applications, 18 pages, 2018, https://doi.org/10.1007/s12095-018-0335-0, First Online: 12 October 2018 Go to publication
2018 year
Authors: Davydov A., Faina G., Marcugini S., Pambianco F.
Upper bounds on the smallest size of a complete cap in PG(N,q), N ≥3, under a certain probabilistic conjecture, Australasian Journal of Combinatorics, vol. 72, Part 3, 2018, pp. 516--535 Go to publicationDownload (345.2 KB)
New covering codes of radius R, codimension tR and tR+R/2, and saturating sets in projective spaces, electronic publication, arXiv:1808.09301v1 [math.CO], 28 pages, 1 table, 30 references, August 2018 Go to publicationDownload (368.4 KB)
2018 year
Authors: Bartoli D., Davydov A., Marcugini S., Pambianco F.
On the Smallest Size of an Almost Complete Subset
of a Conic in PG(2,q) and Extendability
of Reed–Solomon Codes, Problems of Information Transmission, 2018, Vol. 54, No. 2, pp. 101–115 Go to publicationDownload (314.3 KB)
2018 year
Authors: Bartoli D., Davydov A., Marcugini S., Pambianco F.
Tables, bounds and graphics of short linear codes with covering radius 3 and codimension 4 and 5, electronic publication, arXiv:1712.07078v3 [cs.IT], 27 pages, 8 figures, 4 tables, 25 references, August 2018 Go to publicationDownload (631.1 KB)
New Results on Binary Codes Obtained by Doubling Construction, , Cybernetics and Information Technologies, Vol. 18, No 5, pp. 63-76, 2018 Go to publicationDownload (507.6 KB)
Classification of minimal 1-saturating sets in
PG(v,2), 2 ≤ v ≤ 6, electronic publication, arXiv:1802.04214[math.CO], 25 pages, 6 tables, 35 references, February 2018 Go to publicationDownload (188.7 KB)
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)
2017 year
Authors: Bartoli D., Davydov A., Marcugini S., Pambianco F.
On Almost Complete Subsets of a Conic in PG(2, q),
Completeness of Normal Rational Curves and
Extendability of Reed-Solomon Codes, electronic publication, arXiv:1609.05657[math.CO], 39 pages, 2 figures, 4 tables, 23 references, December 2017 Go to publicationDownload (569.7 KB)
2017 year
Authors: Bartoli D., Davydov A., Marcugini S., Pambianco F.
Tables, bounds and graphics of short linear codes with covering
radius 3 and codimension 4 and 5, electronic publication, arXiv:1712.07078 [cs.IT], 22 pages, 7 figures, 2 tables, 24 references, December 2017 Go to publicationDownload (555 KB)
2017 year
Authors: Bartoli D., Davydov A., Giulietti M., Marcugini S., Pambianco F.
New Bounds for Linear Codes
of Covering Radius 2. In: Proceedings of 5th International Castle Meeting, ICMCTA 2017, Coding Theory and Applications,
Vihula, Estonia, August 28–31, 2017, Angela I. Barbero, Vitaly Skachek, Oyvind Ytrehus (Eds.) pp. 1-10,
Lecture Notes in Computer Science, vol. 10495, 2017, Springer, Cham Go to publicationDownload (169.9 KB)
Weight Spectrum of Quasi-Perfect Binary Codes
with Distance 4, Proceedings of 2017 IEEE International Symposium on Information Theory (ISIT), June 25--30, 2017, Aachen, Germany, pp. 2193--2197, ISBN 978-1-5090-4096-4, ISSN 2157-8117 Go to publicationDownload (237.1 KB)
Further results on binary codes obtained by
doubling construction, Proceedings Eighth International Workshop on Optimal Codes and Related Topics, OC2017 (in Second International Conference “Mathematics Days in Sofia”), July 10-14, Sofia, Bulgaria, pp.73-80, 2017 Go to publicationDownload (157.9 KB)
Upper bounds on the smallest size of an
almost complete cap in PG(N,q), Proceedings Eighth International Workshop on Optimal Codes and Related Topics , OC2017 (in Second International Conference “Mathematics Days in Sofia”),
July 10-14, Sofia, Bulgaria, pp. 67-72, 2017 Go to publicationDownload (145.7 KB)
Estimating the Fraction of Erasure Patterns Correctable
by Linear Codes, Journal of Communications Technology and Electronics, 2017, vol. 62, No. 6, pp. 669–685 Go to publicationDownload (510.2 KB)
2017 year
Authors: Davydov A., Faina G., Marcugini S., Pambianco F.
Upper bounds on the smallest size of a complete cap in PG(N,q), N ≥ 3, under a certain probabilistic
conjecture, electronic publication, arXiv:1706.01941 [math.CO], 22 pages, 42 references, 3 figures , June 2017 Go to publicationDownload (293 KB)
2017 year
Authors: Bartoli D., Davydov A., Faina G., Marcugini S., Pambianco F.
Conjectural upper bounds on the smallest size
of a complete cap in PG(N, q), N ≥ 3, Electronic Notes in Discrete Mathematics, vol. 57, Algebraic and Combinatorial Coding Theory, pp. 15–20, 2017 Go to publicationDownload (236.5 KB)
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)
Weight Spectrum of Quasi-Perfect Binary Codes
with Distance 4, electronic publication, arXiv:1703.04106v2 [cs.IT], 5 pages, 11 references, 2 tables, June 2017 Go to publicationDownload (123.3 KB)
2017 year
Authors: Bartoli D., Davydov A., Giulietti M., Marcugini S., Pambianco F.
Upper bounds on the smallest size of a saturating set in projective planes and spaces of even dimension, electronic publication, arXiv:1702.07939 [math.CO], 14 pages, 34 references, 1 figure, February 2017 Go to publicationDownload (295.7 KB)
2016 year
Authors: Bartoli D., Davydov A., Faina G., Marcugini S., Pambianco F.
Conjectural upper bounds on the smallest size of a complete cap in PG(N,q), N>=3, in Proceedings XV Int. Workshop on Algebraic and Combinatorial Coding Theory, ACCT2016, Albena, Bulgaria, June 18--24, 2016, pp. 27--34. Download (411.4 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)
Design and Analysis of Codes with Distance 4 and 6 Minimizing
the Probability of Decoder Error,Journal of Communications Technology and Electronics, 2016, vol. 61, No. 12, pp. 1440–1455 Go to publicationDownload (381 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)
2016 year
Authors: Bartoli D., Davydov A., Giulietti M., Marcugini S., Pambianco F.
New Upper Bounds on the Smallest Size of a
Saturating Set in a Projective Plane, Proceedings of 2016 XV International Symposium
"Problems of Redundancy in Information and Control Systems"
(REDUNDANCY),
26-29 September 2016,
Saint-Petersburg, Russia. pp. 18-22. Go to publicationDownload (138.8 KB)
2016 year
Authors: Bartoli D., Davydov A., Giulietti M., Marcugini S., Pambianco F.
Further results on multiple coverings of the farthest-off points, Advances in Mathematics of Communications, doi:10.3934/amc.2016030, vol. 10, no. 3, pp. 613-632, 2016 Go to publicationDownload (505 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
Go to publicationDownload (1.2 MB)
2016 year
Authors: Davydov A., Faina G., Giulietti M., Marcugini S., Pambianco F.
On constructions and parameters of symmetric configurations v_k, Designs Codes Cryptography, DOI 10.1007/s10623-015-0070-x, vol. 80, no. 1, pp. 125-147, 2016 Go to publicationDownload (144 KB)
An Upper Bound on the Minimum Distance of LDPC Codes over GF(q) // In Proc. IEEE Int. Symp. Inf. Theory (ISIT), Hong Kong, China, June 14-19 2015, pp. 2885-2888. Go to publication
On the Multiple Threshold Decoding of LDPC codes over GF(q) // In Proc. IEEE Int. Symp. Inf. Theory (ISIT), Hong Kong, China, June 14-19 2015, pp. 2673-2677. Go to publication
A new coding method for a multiple-access system with a large number of active users // In Proc. IEEE Information Theory Workshop (ITW), Jerusalem, Israel, April 26-May 1 2015. pp.1-5. Go to publication
An Upper Bound on the Minimum Distance of Tail-Biting LDPC Convolutional codes // Information Technology and Systems, September 7-11, Olympic Village, Sochi, Russia, 2015. pp. 2-8. Go to publication
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
Go to publicationDownload (1.5 MB)
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
Go to publicationDownload (1 MB)
2015 year
Authors: Bartoli D., Davydov A., Giulietti M., Marcugini S., Pambianco F.
Multiple coverings of the farthest-off points with small density from projective geometry, Advances in Mathematics for Communications, vol. 9,
no. 1, pp. 63-85, 2015. Go to publicationDownload (432.7 KB)
2015 year
Authors: Bartoli D., Davydov A., Faina G., Marcugini S., Pambianco F.
New types of estimates for the smallest size of complete arcs in a finite Desarguesian projective plane, Journal of Geometry, 2015, vol. 106, no. 1, pp. 1-17 Go to publicationDownload (1.2 MB)
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
