Information on Result #699924
Linear OA(12833, 16386, F128, 17) (dual of [16386, 16353, 18]-code), using construction X applied to Ce(16) ⊂ Ce(15) based on
- linear OA(12833, 16384, F128, 17) (dual of [16384, 16351, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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
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(1658, 16386, S16, 17) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3247, 16386, S32, 17) | [i] | ||
| 3 | OA(6439, 16386, S64, 17) | [i] | ||
| 4 | Linear OA(12841, 16515, F128, 17) (dual of [16515, 16474, 18]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12842, 16536, F128, 17) (dual of [16536, 16494, 18]-code) | [i] | ||
| 6 | Linear OA(12843, 16538, F128, 17) (dual of [16538, 16495, 18]-code) | [i] | ||
| 7 | Linear OA(12844, 16578, F128, 17) (dual of [16578, 16534, 18]-code) | [i] | ||
| 8 | Linear OA(12845, 16644, F128, 17) (dual of [16644, 16599, 18]-code) | [i] | ||
| 9 | Linear OA(12846, 16770, F128, 17) (dual of [16770, 16724, 18]-code) | [i] | ||
| 10 | Linear OA(12847, 16773, F128, 17) (dual of [16773, 16726, 18]-code) | [i] | ||
| 11 | Linear OA(12848, 32772, F128, 17) (dual of [32772, 32724, 18]-code) | [i] | ||
| 12 | Linear OOA(12833, 8193, F128, 2, 17) (dual of [(8193, 2), 16353, 18]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(12833, 5462, F128, 3, 17) (dual of [(5462, 3), 16353, 18]-NRT-code) | [i] | ||