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@article{UZERU_2018_52_3_a4, author = {V. P. Gabrielyan}, title = {On a linearized coverings of a cubic homogeneous equation over a finite field. {Upper} bounds}, journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences}, pages = {180--190}, publisher = {mathdoc}, volume = {52}, number = {3}, year = {2018}, language = {en}, url = {http://geodesic.mathdoc.fr/item/UZERU_2018_52_3_a4/} }
TY - JOUR AU - V. P. Gabrielyan TI - On a linearized coverings of a cubic homogeneous equation over a finite field. Upper bounds JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 2018 SP - 180 EP - 190 VL - 52 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_2018_52_3_a4/ LA - en ID - UZERU_2018_52_3_a4 ER -
%0 Journal Article %A V. P. Gabrielyan %T On a linearized coverings of a cubic homogeneous equation over a finite field. Upper bounds %J Proceedings of the Yerevan State University. Physical and mathematical sciences %D 2018 %P 180-190 %V 52 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZERU_2018_52_3_a4/ %G en %F UZERU_2018_52_3_a4
V. P. Gabrielyan. On a linearized coverings of a cubic homogeneous equation over a finite field. Upper bounds. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 52 (2018) no. 3, pp. 180-190. http://geodesic.mathdoc.fr/item/UZERU_2018_52_3_a4/
[1] R. Lidl, H. Niederreiter, Finite Fields, Encyclopedia Math. Appl., 20, Cambridge University Press, Cambridge, 1987 | MR | Zbl
[2] A. A. Alexanyan, “Realization of Boolean Functions by Disjunctions of Products of Linear Forms.”, Soviet Math. Dokl., 39:1 (1989), 131–135 (in Russian) | MR
[3] A. A. Alexanyan, Disjunctive Normal Forms over Linear Functions. Theory and Applications, YSU Press, Yer., 1990 (in Russian) | MR
[4] V. Gabrielyan, On Metric Characteristics Associated with Coverings of Subsets of Finite Fields by Cosets of Linear Subspaces, Preprint 04-0603, Institute for Informatics and Automation Problems NAS of Armenia, Yer., 2004 (in Russian)
[5] H. K. Nurijanyan, “On the Length of the Shortest Linearized Covering for “Almost All” Subsets in Finite Field”, Reports of NAS RA, 110:1 (2010), 30–34 | MR
[6] A. Alexanian, V. Gabrielyan, “Coverings of Simmetric Subsets in Finite Fields with Cosets of Linear Subspaces”, Algebra, Geom. and their Appl., 3-4 (2004), 110–124 | MR
[7] A. A. Alexanyan, R. K. Serobyan, “Coverings Connected with Quadratic Equations over a Finite Field”, Dokl. Acad. Nauk Armenii, 93:1, 6–10 (in Russian) | MR
[8] A. Aleksanyan, M. Papikian, “On Coset Coverings of Solutions of Homogeneous Cubic Equations over Finite Fields”, The Electronic Journal of Combinatorics, 8:22 (2001), 1–9 | MR | Zbl
[9] V. Gabrielyan, On the Complexity of Covering a System of Cosets of a Single Equation over a Finite Field, Preprint 04-0602, Institute for Informatics and Automation Problems NAS of Armenia, Yer., 2004 (in Russian) | MR
[10] V. P. Gabrielyan, “Linearized Coverings of One Type Equations of Higher Degree over a Finite Fields”, Reports of NAS RA, 106:2 (2006), 101–107 (in Russian) | MR
[11] V. P. Gabrielyan, “Cubical Diagonal Equation over Finite Fields of Characteristic 2”, Reports of NAS RA, 110:3 (2010), 220–227 (in Russian) | MR
[12] A. A. Alexanian, A. V. Minasyan, “An Upper Bound for the Complexity of Coset Covering of Subsets in a Finite Field”, Reports of NAS RA, 117:4 (2017), 287–291 | MR
[13] A. V. Minasyan, “On the Minimal Coset Coverings of the Set of Singular and of the Set of Nonsingular Matrices”, Proceedings of the YSU. Physical and Mathematical Sciences, 52:1 (2017), 8–11
[14] A. V. Minasyan, “On the Minimal Coset Covering for a Special Subset in Direct Product of Two Finite Fields”, Proceedings of the YSU. Physical and Mathematical Sciences, 51:3 (2017), 236–240 | MR | Zbl
[15] V. P. Gabrielyan, “Linearized Coverings for Sets of Special Solutions of One Cubic Equation over a Finite Field”, Reports of NAS RA, 118:2 (2018), 115–118 | MR