Information on Result #1615177
Linear OOA(12876, 8732, F128, 4, 34) (dual of [(8732, 4), 34852, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12876, 8732, F128, 34) (dual of [8732, 8656, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(12876, 16413, F128, 34) (dual of [16413, 16337, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(23) [i] based on
- linear OA(12867, 16384, F128, 34) (dual of [16384, 16317, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(1289, 29, F128, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,128)), using
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), using
- Reed–Solomon code RS(119,128) [i]
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), using
- construction X applied to Ce(33) ⊂ Ce(23) [i] based on
Mode: 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(12876, 1746, F128, 44, 34) (dual of [(1746, 44), 76748, 35]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |