Information on Result #700190
Linear OA(12832, 386, F128, 19) (dual of [386, 354, 20]-code), using construction X applied to Ce(18) ⊂ Ce(16) based on
- linear OA(12831, 382, F128, 19) (dual of [382, 351, 20]-code), using an extension Ce(18) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(12828, 382, F128, 17) (dual of [382, 354, 18]-code), using an extension Ce(16) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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 OOA(12832, 386, F128, 2, 19) (dual of [(386, 2), 740, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(12832, 386, F128, 3, 19) (dual of [(386, 3), 1126, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(12832, 386, F128, 4, 19) (dual of [(386, 4), 1512, 20]-NRT-code) | [i] | ||
| 4 | Digital (13, 32, 386)-net over F128 | [i] | ||
| 5 | Linear OOA(12832, 193, F128, 2, 19) (dual of [(193, 2), 354, 20]-NRT-code) | [i] | OOA Folding | |