Usage of Method: Large Caps in PG(5, b)
Appears in the following modes: “Constructive and linear” (14 times).
| Incarnation | Mode | ||
|---|---|---|---|
| 1 | Linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)) | Constructive and linear | [i] |
| 2 | Linear OA(46, 102, F4, 3) (dual of [102, 96, 4]-code or 102-cap in PG(5,4)) | Constructive and linear | [i] |
| 3 | Linear OA(56, 168, F5, 3) (dual of [168, 162, 4]-code or 168-cap in PG(5,5)) | Constructive and linear | [i] |
| 4 | Linear OA(76, 416, F7, 3) (dual of [416, 410, 4]-code or 416-cap in PG(5,7)) | Constructive and linear | [i] |
| 5 | Linear OA(86, 650, F8, 3) (dual of [650, 644, 4]-code or 650-cap in PG(5,8)) | Constructive and linear | [i] |
| 6 | Linear OA(96, 840, F9, 3) (dual of [840, 834, 4]-code or 840-cap in PG(5,9)) | Constructive and linear | [i] |
| 7 | Linear OA(166, 4626, F16, 3) (dual of [4626, 4620, 4]-code or 4626-cap in PG(5,16)) | Constructive and linear | [i] |
| 8 | Linear OA(256, 16328, F25, 3) (dual of [16328, 16322, 4]-code or 16328-cap in PG(5,25)) | Constructive and linear | [i] |
| 9 | Linear OA(276, 20496, F27, 3) (dual of [20496, 20490, 4]-code or 20496-cap in PG(5,27)) | Constructive and linear | [i] |
| 10 | Linear OA(326, 34850, F32, 3) (dual of [34850, 34844, 4]-code or 34850-cap in PG(5,32)) | Constructive and linear | [i] |
| 11 | Linear OA(496, 120200, F49, 3) (dual of [120200, 120194, 4]-code or 120200-cap in PG(5,49)) | Constructive and linear | [i] |
| 12 | Linear OA(646, 270402, F64, 3) (dual of [270402, 270396, 4]-code or 270402-cap in PG(5,64)) | Constructive and linear | [i] |
| 13 | Linear OA(816, 538248, F81, 3) (dual of [538248, 538242, 4]-code or 538248-cap in PG(5,81)) | Constructive and linear | [i] |
| 14 | Linear OA(1286, 2130050, F128, 3) (dual of [2130050, 2130044, 4]-code or 2130050-cap in PG(5,128)) | Constructive and linear | [i] |