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2025 year Authors: Davydov A., Marcugini S., Pambianco F.
Further Results on Orbits and Incidence Matrices for the Class O_6
of Lines External to the Twisted Cubic in PG(3,q),
Mediterranean Journal of Mathematics, vol. 22, no. 5, Article 129, 25 pages (2025).
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2023 year Authors: Davydov A., Marcugini S., Pambianco F.New bounds for covering codes of radius 3 and codimension 3t+1. Advances in Mathematics of Communications. 14 pages, doi: 10.3934/amc.2023042
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2023 year Authors: Davydov A., Marcugini S., Pambianco F.Incidence matrices for the class O_6 of lines external to the twisted cubic in PG(3,q), Journal of Geometry, 2023, vol. 114, no. 2, article number 21, https://doi.org/10.1007/s00022-023-00678-2
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2023 year Authors: Davydov A., Marcugini S., Pambianco F.Orbits of the class O_6 of lines
external to the twisted cubic in PG(3, q), Mediterranean Journal of Mathematics, vol. 20, No. 3, article number 160 (2023) , https://doi.org/10.1007/s00009-023-02349-7
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2023 year Authors: Davydov A., Marcugini S., Pambianco F.Orbits of lines for a twisted cubic
in PG(3,q). Mediterranean Journal of Mathematics. vol. 20, No. 3, article number 132 (2023), https://doi.org/10.1007/s00009-023-02279-4
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2023 year Authors: Davydov A., Marcugini S., Pambianco F.Upper bounds on the length function for covering codes with covering radius R and codimension tR+1, Advances in Mathematics of Communications, vol. 17, No. 1, February 2023, pp. 98-18, doi: 10.3934/amc.2021074
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2023 year Authors: Davydov A., Marcugini S., Pambianco F.On the weight distribution of the cosets of MDS codes, Advances in Mathematics of Communications, Vol. 17, No. 5, October 2023, pp. 1115-1138, doi: 10.3934/amc.2021042
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2022 year Authors: Davydov A., Marcugini S., Pambianco F.Orbits of the class O_6 of lines external with respect to the twisted cubic in PG(3,q), electronic preprint, arXiv:2209.04910 [math.CO], [math.AG], 27 pages, 23 references. September 2022
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2022 year Authors: Davydov A., Marcugini S., Pambianco F.Incidence matrices for the class O_6 of lines external to the twisted cubic in PG(3,q), electronic preprint, arXiv:2210.12821 [math.CO], 27 pages, 32 references, 11 tables. October 2022
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2022 year Authors: Davydov A., Marcugini S., Pambianco F.Twisted cubic and plane-line incidence matrix in PG(3,q), Journal of Geometry, 2022, vol. 113, no. 2, article 29, https://doi.org/10.1007/s00022-022-00644-4, 29 pages
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2021 year Authors: Davydov A., Marcugini S., Pambianco F.Upper bounds on the length function for covering codes with covering radius R and codimension tR+1, electronic preprint, arXiv:2108.13609v2 [cs.IT], 31 pages, 55 references, 1 table, 1 fig., November 2021
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2021 year Authors: Davydov A., Marcugini S., Pambianco F.On Cosets Weight Distribution of Doubly-Extended Reed-Solomon Codes of Codimension 4, IEEE Transactions on Information Theory, vol.: 67 (8), Aug. 2021, pp. 5088 - 5096
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2021 year Authors: Davydov A., Marcugini S., Pambianco F.Twisted cubic and point-line incidence matrix in PG(3,q), Designs, Codes and Cryptography (2021), 23 pages
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2021 year Authors: Davydov A., Marcugini S., Pambianco F.Twisted cubic and point-line incidence matrix in PG(3,q), electronic preprint, arXiv:2104.12254v2 [math.CO], 30 pages, 28 references, 5 tables, July 2021
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2021 year Authors: Davydov A., Marcugini S., Pambianco F.Twisted cubic and plane-line incidence matrix in PG(3,q), electronic preprint, arXiv:2103.11248v3 [math.CO], 29 pages, 2 tables, 24 references, Mar. 2021
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2021 year Authors: Davydov A., Marcugini S., Pambianco F.Twisted cubic and orbits of lines in PG(3,q), electronic preprint, arXiv:2103.12655v2 [math.CO], 27 pages, 19 references, Mar. 2021
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2021 year Authors: Davydov A., Marcugini S., Pambianco F.On cosets weight distributions of the doubly-extended Reed-Solomon codes of codimension 4, electronic preprint, arXiv:2007.08798v2 [cs.IT], 20 pages, 2 tables, 37 references, Feb. 2021
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2021 year Authors: Davydov A., Marcugini S., Pambianco F.On the weight distribution of the cosets of MDS codes, electronic preprint,
arXiv:2101.12722 [cs.IT], 32 pages, 45 references, June. 2021
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2020 year Authors: Davydov A., Marcugini S., Pambianco F.Bounds for Complete Arcs in PG(3,q) and Covering Codes of Radius 3, Codimension 4, Under a Certain Probabilistic Conjecture. Computational Science and Its Applications – ICCSA 2020. ICCSA 2020. Lecture Notes in Computer Science, vol 12249, pp 107-122. Springer, Cham.
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2020 year Authors: Davydov A., Marcugini S., Pambianco F.On cosets weight distributions of the doubly-extended Reed-Solomon codes of codimension 4, electronic preprint
arXiv:2007.08798 [cs.IT], 22 pages, 2 tables, 36 references, July 2020
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2020 year Authors: Davydov A., Marcugini S., Pambianco F.On integral weight spectra of the MDS codes
cosets of weight 1, 2, and 3, electronic preprint, arXiv:2007.02405 [cs.IT], 12 pages, 21 references, July 2020
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2020 year Authors: Bartoli D., Davydov A., Marcugini S., Pambianco F.On planes through points off the twisted cubic in PG(3,q)
and multiple covering codes, Finite Fields and Their Applications, vol. 67,. Oct. 2020, paper 101710.
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2020 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 preprint, arXiv:1712.07078v6 [cs.IT], 51 pages, 14 figures, 5 tables, 35 references, June 2020
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2020 year Authors: Bartoli D., Davydov A., Marcugini S., Pambianco F.On planes through points off the twisted cubic in PG(3,q) and multiple covering codes, electronic preprint, arXiv:1909.00207v2 [math.CO], 27 pages, 2 tables, 31 references, March 2020
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2020 year Authors: Davydov A., Marcugini S., Pambianco F.New bounds for linear codes of covering radius 3 and 2-saturating sets in projective spaces. In: Proceedings of 2019 XVI International Symposium "Problems of Redundancy in Information and Control Systems" (REDUNDANCY), ISBN 978-1-7281-1944-1, Moscow, Russia, 21--25 October 2019, pp. 47--52, Date Added to IEEE Xplore: 20 February 2020, DOI:10.1109/REDUNDANCY48165.2019.9003348
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2019 year Authors: 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
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2019 year Authors: Bartoli D., Davydov A., Marcugini S., Pambianco F.On planes through points off the twisted cubic in PG(3,q) and multiple covering codes, electronic preprint, arXiv:1909.00207v1 [math.CO], 25 pages, 2 tables, 22 references, August 2019
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2019 year Authors: Davydov A., Marcugini S., Pambianco F.New covering codes of radius R, codimension tR and tR+R/2, and saturating sets in projective spaces,
Designs, Codes and Cryptography,
2019, Vol. 87, No. 12, pp. 2771–2792
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2019 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:1712.07078v5 [cs.IT], 49 pages, 14 figures, 5 tables, 35 references, Dec.2019
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2019 year Authors: Davydov A., Marcugini S., Pambianco F.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
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2019 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, Vol. 11,No. 5, pp 903–920, 2019
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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
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2018 year Authors: Davydov A., Marcugini S., Pambianco F.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
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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
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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
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2018 year Authors: Davydov A., Marcugini S., Pambianco F.New Results on Binary Codes Obtained by Doubling Construction, , Cybernetics and Information Technologies, Vol. 18, No 5, pp. 63-76, 2018
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2018 year Authors: Davydov A., Marcugini S., Pambianco F. On Almost Complete Caps in PG(N, q), Cybernetics and Information Technologies, Vol. 18, No 5, pp. 54-62, 2018
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