Information on Result #699952
Linear OA(12844, 16389, F128, 22) (dual of [16389, 16345, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- linear OA(12843, 16384, F128, 22) (dual of [16384, 16341, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-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(1677, 16389, S16, 22) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3262, 16389, S32, 22) | [i] | ||
| 3 | OA(6452, 16389, S64, 22) | [i] | ||
| 4 | Linear OA(12856, 16539, F128, 22) (dual of [16539, 16483, 23]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12858, 16581, F128, 22) (dual of [16581, 16523, 23]-code) | [i] | ||
| 6 | Linear OOA(12844, 8194, F128, 2, 22) (dual of [(8194, 2), 16344, 23]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(12844, 5463, F128, 3, 22) (dual of [(5463, 3), 16345, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(12844, 4097, F128, 4, 22) (dual of [(4097, 4), 16344, 23]-NRT-code) | [i] | ||