Information on Result #700201
Linear OA(12853, 389, F128, 31) (dual of [389, 336, 32]-code), using construction X applied to Ce(30) ⊂ Ce(27) based on
- linear OA(12851, 382, F128, 31) (dual of [382, 331, 32]-code), using an extension Ce(30) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(12846, 382, F128, 28) (dual of [382, 336, 29]-code), using an extension Ce(27) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(1282, 7, F128, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), 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(12853, 194, F128, 2, 31) (dual of [(194, 2), 335, 32]-NRT-code) | [i] | OOA Folding | |