Information on Result #1464957
Linear OOA(12871, 16422, F128, 2, 30) (dual of [(16422, 2), 32773, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12871, 16422, F128, 30) (dual of [16422, 16351, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(16) [i] based on
- linear OA(12859, 16384, F128, 30) (dual of [16384, 16325, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(12833, 16384, F128, 17) (dual of [16384, 16351, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(12812, 38, F128, 12) (dual of [38, 26, 13]-code or 38-arc in PG(11,128)), using
- discarding factors / shortening the dual code based on linear OA(12812, 128, F128, 12) (dual of [128, 116, 13]-code or 128-arc in PG(11,128)), using
- Reed–Solomon code RS(116,128) [i]
- discarding factors / shortening the dual code based on linear OA(12812, 128, F128, 12) (dual of [128, 116, 13]-code or 128-arc in PG(11,128)), using
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(12871, 8211, F128, 3, 30) (dual of [(8211, 3), 24562, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12871, 8211, F128, 4, 30) (dual of [(8211, 4), 32773, 31]-NRT-code) | [i] | ||