Information on Result #700158
Linear OA(12833, 384, F128, 20) (dual of [384, 351, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- linear OA(12833, 382, F128, 20) (dual of [382, 349, 21]-code), using an extension Ce(19) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- 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(1280, 2, F128, 0) (dual of [2, 2, 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(12834, 395, F128, 20) (dual of [395, 361, 21]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OOA(12833, 192, F128, 2, 20) (dual of [(192, 2), 351, 21]-NRT-code) | [i] | OOA Folding | |