Information on Result #699997
Linear OA(12866, 16395, F128, 32) (dual of [16395, 16329, 33]-code), using construction X applied to Ce(31) ⊂ Ce(27) based on
- linear OA(12863, 16384, F128, 32) (dual of [16384, 16321, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(12855, 16384, F128, 28) (dual of [16384, 16329, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(1283, 11, F128, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,128) or 11-cap in PG(2,128)), using
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- Reed–Solomon code RS(125,128) [i]
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), 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(16116, 16395, S16, 32) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6477, 16395, S64, 32) | [i] | ||
| 3 | Linear OOA(12866, 8197, F128, 2, 32) (dual of [(8197, 2), 16328, 33]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(12866, 5465, F128, 3, 32) (dual of [(5465, 3), 16329, 33]-NRT-code) | [i] | ||