Information on Result #700143
Linear OA(12873, 16428, F128, 30) (dual of [16428, 16355, 31]-code), using construction X applied to Ce(29) ⊂ Ce(14) 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(12829, 16384, F128, 15) (dual of [16384, 16355, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(12814, 44, F128, 14) (dual of [44, 30, 15]-code or 44-arc in PG(13,128)), using
- discarding factors / shortening the dual code based on linear OA(12814, 128, F128, 14) (dual of [128, 114, 15]-code or 128-arc in PG(13,128)), using
- Reed–Solomon code RS(114,128) [i]
- discarding factors / shortening the dual code based on linear OA(12814, 128, F128, 14) (dual of [128, 114, 15]-code or 128-arc in PG(13,128)), 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(6486, 16428, S64, 30) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(12873, 8214, F128, 2, 30) (dual of [(8214, 2), 16355, 31]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(12873, 5476, F128, 3, 30) (dual of [(5476, 3), 16355, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(12873, 4107, F128, 4, 30) (dual of [(4107, 4), 16355, 31]-NRT-code) | [i] | ||