Information on Result #670858
Linear OA(12816, 387, F128, 9) (dual of [387, 371, 10]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1283, 129, F128, 3) (dual of [129, 126, 4]-code or 129-arc in PG(2,128) or 129-cap in PG(2,128)), using
- extended Reed–Solomon code RSe(126,128) [i]
- linear OA(1284, 129, F128, 4) (dual of [129, 125, 5]-code or 129-arc in PG(3,128)), using
- extended Reed–Solomon code RSe(125,128) [i]
- linear OA(1289, 129, F128, 9) (dual of [129, 120, 10]-code or 129-arc in PG(8,128)), using
- extended Reed–Solomon code RSe(120,128) [i]
- the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
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(12853, 16772, F128, 19) (dual of [16772, 16719, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12871, 2097540, F128, 19) (dual of [2097540, 2097469, 20]-code) | [i] | ||
| 3 | Linear OA(12851, 16771, F128, 18) (dual of [16771, 16720, 19]-code) | [i] | ||
| 4 | Linear OA(12868, 2097539, F128, 18) (dual of [2097539, 2097471, 19]-code) | [i] | ||
| 5 | Linear OA(12853, 16773, F128, 19) (dual of [16773, 16720, 20]-code) | [i] | ||
| 6 | Linear OA(12871, 2097542, F128, 19) (dual of [2097542, 2097471, 20]-code) | [i] | ||
| 7 | Linear OA(12851, 16773, F128, 18) (dual of [16773, 16722, 19]-code) | [i] | ||
| 8 | Linear OA(12868, 2097542, F128, 18) (dual of [2097542, 2097474, 19]-code) | [i] | ||
| 9 | Linear OOA(12816, 193, F128, 2, 9) (dual of [(193, 2), 370, 10]-NRT-code) | [i] | OOA Folding | |