MinT - Method Usage

Usage of Method: Ovoid

Appears in the following modes: “Constructive and linear” (15 times).

	Incarnation	Mode
1	Linear OA(3⁴, 10, F₃, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3))	Constructive and linear	[i]
2	Linear OA(4⁴, 17, F₄, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4))	Constructive and linear	[i]
3	Linear OA(5⁴, 26, F₅, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5))	Constructive and linear	[i]
4	Linear OA(7⁴, 50, F₇, 3) (dual of [50, 46, 4]-code or 50-cap in PG(3,7))	Constructive and linear	[i]
5	Linear OA(8⁴, 65, F₈, 3) (dual of [65, 61, 4]-code or 65-cap in PG(3,8))	Constructive and linear	[i]
6	Linear OA(9⁴, 82, F₉, 3) (dual of [82, 78, 4]-code or 82-cap in PG(3,9))	Constructive and linear	[i]
7	Linear OA(16⁴, 257, F₁₆, 3) (dual of [257, 253, 4]-code or 257-cap in PG(3,16))	Constructive and linear	[i]
8	Linear OA(25⁴, 626, F₂₅, 3) (dual of [626, 622, 4]-code or 626-cap in PG(3,25))	Constructive and linear	[i]
9	Linear OA(27⁴, 730, F₂₇, 3) (dual of [730, 726, 4]-code or 730-cap in PG(3,27))	Constructive and linear	[i]
10	Linear OA(32⁴, 1025, F₃₂, 3) (dual of [1025, 1021, 4]-code or 1025-cap in PG(3,32))	Constructive and linear	[i]
11	Linear OA(49⁴, 2402, F₄₉, 3) (dual of [2402, 2398, 4]-code or 2402-cap in PG(3,49))	Constructive and linear	[i]
12	Linear OA(64⁴, 4097, F₆₄, 3) (dual of [4097, 4093, 4]-code or 4097-cap in PG(3,64))	Constructive and linear	[i]
13	Linear OA(81⁴, 6562, F₈₁, 3) (dual of [6562, 6558, 4]-code or 6562-cap in PG(3,81))	Constructive and linear	[i]
14	Linear OA(128⁴, 16385, F₁₂₈, 3) (dual of [16385, 16381, 4]-code or 16385-cap in PG(3,128))	Constructive and linear	[i]
15	Linear OA(256⁴, 65537, F₂₅₆, 3) (dual of [65537, 65533, 4]-code or 65537-cap in PG(3,256))	Constructive and linear	[i]