Information on Result #700196
Linear OA(12822, 386, F128, 13) (dual of [386, 364, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) 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(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(1281, 4, F128, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-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(12875, 16772, F128, 27) (dual of [16772, 16697, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12876, 16776, F128, 27) (dual of [16776, 16700, 28]-code) | [i] | ||
| 3 | Linear OA(12873, 16772, F128, 26) (dual of [16772, 16699, 27]-code) | [i] | ||
| 4 | Linear OOA(12822, 386, F128, 2, 13) (dual of [(386, 2), 750, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(12822, 386, F128, 3, 13) (dual of [(386, 3), 1136, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(12822, 386, F128, 4, 13) (dual of [(386, 4), 1522, 14]-NRT-code) | [i] | ||
| 7 | Digital (9, 22, 386)-net over F128 | [i] | ||
| 8 | Linear OOA(12822, 193, F128, 2, 13) (dual of [(193, 2), 364, 14]-NRT-code) | [i] | OOA Folding | |