Information on Result #699925
Linear OA(12831, 16386, F128, 16) (dual of [16386, 16355, 17]-code), using construction X applied to Ce(15) ⊂ Ce(14) based on
- 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(12829, 16384, F128, 15) (dual of [16384, 16355, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(1655, 16386, S16, 16) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3244, 16386, S32, 16) | [i] | ||
| 3 | OA(6437, 16386, S64, 16) | [i] | ||
| 4 | Linear OA(12839, 16515, F128, 16) (dual of [16515, 16476, 17]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12840, 16536, F128, 16) (dual of [16536, 16496, 17]-code) | [i] | ||
| 6 | Linear OA(12841, 16538, F128, 16) (dual of [16538, 16497, 17]-code) | [i] | ||
| 7 | Linear OA(12842, 16578, F128, 16) (dual of [16578, 16536, 17]-code) | [i] | ||
| 8 | Linear OA(12843, 16644, F128, 16) (dual of [16644, 16601, 17]-code) | [i] | ||
| 9 | Linear OA(12844, 16770, F128, 16) (dual of [16770, 16726, 17]-code) | [i] | ||
| 10 | Linear OA(12845, 16773, F128, 16) (dual of [16773, 16728, 17]-code) | [i] | ||
| 11 | Linear OOA(12831, 8193, F128, 2, 16) (dual of [(8193, 2), 16355, 17]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(12831, 5462, F128, 3, 16) (dual of [(5462, 3), 16355, 17]-NRT-code) | [i] | ||