Information on Result #700168
Linear OA(12816, 383, F128, 10) (dual of [383, 367, 11]-code), using construction X applied to Ce(9) ⊂ Ce(8) based on
- 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(12815, 382, F128, 9) (dual of [382, 367, 10]-code), using an extension Ce(8) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(1280, 1, F128, 0) (dual of [1, 1, 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(12857, 16769, F128, 21) (dual of [16769, 16712, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12858, 16773, F128, 21) (dual of [16773, 16715, 22]-code) | [i] | ||
| 3 | Linear OA(12877, 2097538, F128, 21) (dual of [2097538, 2097461, 22]-code) | [i] | ||
| 4 | Linear OA(12878, 2097543, F128, 21) (dual of [2097543, 2097465, 22]-code) | [i] | ||
| 5 | Linear OA(12855, 16769, F128, 20) (dual of [16769, 16714, 21]-code) | [i] | ||
| 6 | Linear OA(12874, 2097538, F128, 20) (dual of [2097538, 2097464, 21]-code) | [i] | ||
| 7 | Linear OA(12875, 2097542, F128, 20) (dual of [2097542, 2097467, 21]-code) | [i] | ||
| 8 | Linear OA(12876, 2097546, F128, 20) (dual of [2097546, 2097470, 21]-code) | [i] | ||
| 9 | Linear OA(12817, 390, F128, 10) (dual of [390, 373, 11]-code) | [i] | Varšamov–Edel Lengthening | |
| 10 | Linear OA(12818, 542, F128, 10) (dual of [542, 524, 11]-code) | [i] | ||