Information on Result #699970
Linear OA(12859, 16392, F128, 29) (dual of [16392, 16333, 30]-code), using construction X applied to Ce(28) ⊂ Ce(25) based on
- linear OA(12857, 16384, F128, 29) (dual of [16384, 16327, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1282, 8, F128, 2) (dual of [8, 6, 3]-code or 8-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 | OA(3283, 16392, S32, 29) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6469, 16392, S64, 29) | [i] | ||
| 3 | Linear OOA(12859, 8196, F128, 2, 29) (dual of [(8196, 2), 16333, 30]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(12859, 5464, F128, 3, 29) (dual of [(5464, 3), 16333, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(12859, 4098, F128, 4, 29) (dual of [(4098, 4), 16333, 30]-NRT-code) | [i] | ||