Information on Result #603753
Linear OA(493, 3, F49, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,49) or 3-cap in PG(2,49)), using complete OA / dual of code with only one code word
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(4938, 2413, F49, 14) (dual of [2413, 2375, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(4938, 2413, F49, 14) (dual of [2413, 2375, 15]-code) | [i] | ||
| 3 | Linear OA(4938, 2413, F49, 14) (dual of [2413, 2375, 15]-code) | [i] | ||
| 4 | Linear OA(4951, 117661, F49, 14) (dual of [117661, 117610, 15]-code) | [i] | ||
| 5 | Linear OA(4951, 117661, F49, 14) (dual of [117661, 117610, 15]-code) | [i] | ||
| 6 | Linear OA(4951, 117661, F49, 14) (dual of [117661, 117610, 15]-code) | [i] | ||
| 7 | Linear OA(4936, 117658, F49, 10) (dual of [117658, 117622, 11]-code) | [i] | ||
| 8 | Linear OA(4936, 117658, F49, 10) (dual of [117658, 117622, 11]-code) | [i] | ||
| 9 | Linear OA(4945, 5764810, F49, 10) (dual of [5764810, 5764765, 11]-code) | [i] | ||
| 10 | Linear OA(4945, 5764810, F49, 10) (dual of [5764810, 5764765, 11]-code) | [i] | ||
| 11 | Linear OA(4927, 117655, F49, 8) (dual of [117655, 117628, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(4934, 5764807, F49, 8) (dual of [5764807, 5764773, 9]-code) | [i] | ||