Information on Result #700165
Linear OA(12821, 383, F128, 13) (dual of [383, 362, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) based on
- linear OA(12821, 382, F128, 13) (dual of [382, 361, 14]-code), using an extension Ce(12) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(12820, 382, F128, 12) (dual of [382, 362, 13]-code), using an extension Ce(11) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12874, 16769, F128, 27) (dual of [16769, 16695, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12875, 16773, F128, 27) (dual of [16773, 16698, 28]-code) | [i] | ||
| 3 | Linear OA(12872, 16769, F128, 26) (dual of [16769, 16697, 27]-code) | [i] | ||
| 4 | Linear OA(12823, 465, F128, 13) (dual of [465, 442, 14]-code) | [i] | Varšamov–Edel Lengthening | |