Information on Result #609766
Linear OA(1283, 130, F128, 3) (dual of [130, 127, 4]-code or 130-arc in PG(2,128) or 130-cap in PG(2,128)), using hyperoval in PG(2, 128)
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(12816, 16515, F128, 7) (dual of [16515, 16499, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12822, 2097283, F128, 7) (dual of [2097283, 2097261, 8]-code) | [i] | ||
| 3 | Linear OA(12814, 16514, F128, 6) (dual of [16514, 16500, 7]-code) | [i] | ||
| 4 | Linear OA(12819, 2097282, F128, 6) (dual of [2097282, 2097263, 7]-code) | [i] | ||
| 5 | Linear OA(12816, 16516, F128, 7) (dual of [16516, 16500, 8]-code) | [i] | ||
| 6 | Linear OA(12822, 2097285, F128, 7) (dual of [2097285, 2097263, 8]-code) | [i] | ||
| 7 | Linear OA(12814, 16516, F128, 6) (dual of [16516, 16502, 7]-code) | [i] | ||
| 8 | Linear OA(12819, 2097285, F128, 6) (dual of [2097285, 2097266, 7]-code) | [i] | ||
| 9 | OA(12811, 387, S128, 7) | [i] | ||
| 10 | OA(12818, 65668, S128, 7) | [i] | ||
| 11 | OA(12810, 387, S128, 6) | [i] | ||
| 12 | Linear OA(12817, 16534, F128, 7) (dual of [16534, 16517, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(12818, 16660, F128, 7) (dual of [16660, 16642, 8]-code) | [i] | ||
| 14 | Linear OA(12815, 16534, F128, 6) (dual of [16534, 16519, 7]-code) | [i] | ||
| 15 | Linear OA(12830, 16665, F128, 11) (dual of [16665, 16635, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(12840, 2097433, F128, 11) (dual of [2097433, 2097393, 12]-code) | [i] | ||
| 17 | Linear OA(12824, 2097412, F128, 7) (dual of [2097412, 2097388, 8]-code) | [i] | ||