New bounds for covering codes of radius 3 and codimension 3t+1. Advances in Mathematics of Communications. 14 pages, doi: 10.3934/amc.2023042 Перейти к публикации
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 Перейти к публикации
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 Перейти к публикации
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 Перейти к публикации
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
Перейти к публикации
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 Перейти к публикации
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 Перейти к публикацииЗагрузить (313.9 KB)
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 Перейти к публикацииЗагрузить (308.4 KB)
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 Перейти к публикации
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 Перейти к публикацииЗагрузить (658.9 KB)
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 Перейти к публикации
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 Перейти к публикацииЗагрузить (315.9 KB)
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 Перейти к публикацииЗагрузить (319.9 KB)
Twisted cubic and orbits of lines in PG(3,q), electronic preprint, arXiv:2103.12655v2 [math.CO], 27 pages, 19 references, Mar. 2021
Перейти к публикацииЗагрузить (277.8 KB)
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 Перейти к публикацииЗагрузить (239.8 KB)
On the weight distribution of the cosets of MDS codes, electronic preprint,
arXiv:2101.12722 [cs.IT], 32 pages, 45 references, June. 2021 Перейти к публикацииЗагрузить (375.1 KB)
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. Перейти к публикации
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 Перейти к публикацииЗагрузить (253.1 KB)
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 Перейти к публикацииЗагрузить (152.6 KB)