Information on Result #609778
Linear OA(494, 2402, F49, 3) (dual of [2402, 2398, 4]-code or 2402-cap in PG(3,49)), using ovoid in PG(3, 49)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4917, 4804, F49, 7) (dual of [4804, 4787, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4923, 120052, F49, 7) (dual of [120052, 120029, 8]-code) | [i] | ||
| 3 | Linear OA(4929, 5767204, F49, 7) (dual of [5767204, 5767175, 8]-code) | [i] | ||
| 4 | Linear OA(4920, 120051, F49, 6) (dual of [120051, 120031, 7]-code) | [i] | ||
| 5 | Linear OA(4925, 5767203, F49, 6) (dual of [5767203, 5767178, 7]-code) | [i] | ||
| 6 | Linear OA(4917, 4805, F49, 7) (dual of [4805, 4788, 8]-code) | [i] | ||
| 7 | Linear OA(4923, 120054, F49, 7) (dual of [120054, 120031, 8]-code) | [i] | ||
| 8 | Linear OA(4929, 5767207, F49, 7) (dual of [5767207, 5767178, 8]-code) | [i] | ||
| 9 | Linear OA(4920, 120054, F49, 6) (dual of [120054, 120034, 7]-code) | [i] | ||
| 10 | Linear OA(4925, 5767207, F49, 6) (dual of [5767207, 5767182, 7]-code) | [i] | ||
| 11 | Linear OA(4924, 117698, F49, 7) (dual of [117698, 117674, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OOA(494, 2402, F49, 2, 3) (dual of [(2402, 2), 4800, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 13 | Linear OOA(494, 2401, F49, 3, 3) (dual of [(2401, 3), 7199, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |