Information on Result #735525
Linear OA(12869, 16515, F128, 28) (dual of [16515, 16446, 29]-code), using (u, u+v)-construction based on
- linear OA(12814, 129, F128, 14) (dual of [129, 115, 15]-code or 129-arc in PG(13,128)), using
- extended Reed–Solomon code RSe(115,128) [i]
- linear OA(12855, 16386, F128, 28) (dual of [16386, 16331, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- 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(12853, 16384, F128, 27) (dual of [16384, 16331, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
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(6481, 16515, S64, 28) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(12869, 8257, F128, 2, 28) (dual of [(8257, 2), 16445, 29]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(12869, 5505, F128, 3, 28) (dual of [(5505, 3), 16446, 29]-NRT-code) | [i] | ||