A. Kreshchuk

activity

20132016

most citedTables, bounds and graphics of the smallest known sizes of complete arcs in the plane

PG (2, q)

for all

q \leq 160001

and sporadic

q

in the interval

[160801 \dots 430007]

3 citations · 7 across the 3 of their papers we have counts for

collaborators

Showing math.COShow all

3 papers · 1 filter

math.CO2016★ 2 cited

Tables, bounds and graphics of the smallest known sizes of complete caps in the spaces $PG (3, q)$ and $PG (4, q)$

Daniele Bartoli, Alexander A. Davydov, Alexey A. Kreshchuk +2

In this paper we present and analyze computational results concerning small complete caps in the projective spaces $PG (N, q)$ of dimension $N = 3$ and $N = 4$ over the finite f…

math.CO2014★ 2 cited

Tables, bounds and graphics of sizes of complete arcs in the plane $PG (2, q)$ for all $q \leq 321007$ and sporadic $q$ in $[323761 \dots 430007]$ obtained by an algorithm with fixed order of points (FOP)

Daniele Bartoli, Alexander A. Davydov, Giorgio Faina +3

In the previous works of the authors, a step-by-step algorithm FOP which uses any fixed order of points in the projective plane $PG (2, q)$ is proposed to construct small co…

math.CO2013★ 3 cited

Tables, bounds and graphics of the smallest known sizes of complete arcs in the plane $PG (2, q)$ for all $q \leq 160001$ and sporadic $q$ in the interval $[160801 \dots 430007]$

Daniele Bartoli, Alexander A. Davydov, Giorgio Faina +3

In the projective planes $PG (2, q)$ , we collect the smallest known sizes of complete arcs for the regions \begin{align*} &\mbox{all } q\le160001,~~ q \mbox{ prime power};\\…

Tables, bounds and graphics of the smallest known sizes of complete caps in the spaces PG(3,q) and PG(4,q)

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)

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]

Tables, bounds and graphics of the smallest known sizes of complete caps in the spaces $PG (3, q)$ and $PG (4, q)$

Tables, bounds and graphics of sizes of complete arcs in the plane $PG (2, q)$ for all $q \leq 321007$ and sporadic $q$ in $[323761 \dots 430007]$ obtained by an algorithm with fixed order of points (FOP)

Tables, bounds and graphics of the smallest known sizes of complete arcs in the plane $PG (2, q)$ for all $q \leq 160001$ and sporadic $q$ in the interval $[160801 \dots 430007]$