Information on Result #700167
Linear OA(12818, 384, F128, 11) (dual of [384, 366, 12]-code), using construction X applied to Ce(10) ⊂ Ce(9) based on
- linear OA(12818, 382, F128, 11) (dual of [382, 364, 12]-code), using an extension Ce(10) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(12816, 382, F128, 10) (dual of [382, 366, 11]-code), using an extension Ce(9) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(12863, 16770, F128, 23) (dual of [16770, 16707, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12864, 16774, F128, 23) (dual of [16774, 16710, 24]-code) | [i] | ||
| 3 | Linear OA(12861, 16770, F128, 22) (dual of [16770, 16709, 23]-code) | [i] | ||
| 4 | Linear OA(12819, 402, F128, 11) (dual of [402, 383, 12]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(12820, 590, F128, 11) (dual of [590, 570, 12]-code) | [i] | ||
| 6 | Linear OOA(12818, 192, F128, 2, 11) (dual of [(192, 2), 366, 12]-NRT-code) | [i] | OOA Folding | |