Information on Result #700171
Linear OA(12811, 383, F128, 7) (dual of [383, 372, 8]-code), using construction X applied to Ce(6) ⊂ Ce(5) based on
- linear OA(12811, 382, F128, 7) (dual of [382, 371, 8]-code), using an extension Ce(6) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(12810, 382, F128, 6) (dual of [382, 372, 7]-code), using an extension Ce(5) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(12840, 16769, F128, 15) (dual of [16769, 16729, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12854, 2097538, F128, 15) (dual of [2097538, 2097484, 16]-code) | [i] | ||
| 3 | Linear OA(12855, 2097543, F128, 15) (dual of [2097543, 2097488, 16]-code) | [i] | ||
| 4 | Linear OA(12838, 16769, F128, 14) (dual of [16769, 16731, 15]-code) | [i] | ||
| 5 | Linear OA(12851, 2097538, F128, 14) (dual of [2097538, 2097487, 15]-code) | [i] | ||
| 6 | Linear OA(12812, 433, F128, 7) (dual of [433, 421, 8]-code) | [i] | Varšamov–Edel Lengthening | |