Information on Result #699693
Linear OA(12867, 2097155, F128, 23) (dual of [2097155, 2097088, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
- linear OA(12867, 2097152, F128, 23) (dual of [2097152, 2097085, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(12864, 2097152, F128, 22) (dual of [2097152, 2097088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 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
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(16118, 2097155, S16, 23) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3294, 2097155, S32, 23) | [i] | ||
| 3 | OA(6479, 2097155, S64, 23) | [i] | ||
| 4 | Linear OA(12878, 2097284, F128, 23) (dual of [2097284, 2097206, 24]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OOA(12867, 1048577, F128, 2, 23) (dual of [(1048577, 2), 2097087, 24]-NRT-code) | [i] | OOA Folding | |