Information on Result #696842
Linear OA(3246, 32771, F32, 16) (dual of [32771, 32725, 17]-code), using construction X applied to Ce(15) ⊂ Ce(14) based on
- linear OA(3246, 32768, F32, 16) (dual of [32768, 32722, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(3243, 32768, F32, 15) (dual of [32768, 32725, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 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, 32771, S16, 16) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(3254, 32804, F32, 16) (dual of [32804, 32750, 17]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(3255, 32815, F32, 16) (dual of [32815, 32760, 17]-code) | [i] | ||
| 4 | Linear OA(3256, 32817, F32, 16) (dual of [32817, 32761, 17]-code) | [i] | ||
| 5 | Linear OA(3257, 32835, F32, 16) (dual of [32835, 32778, 17]-code) | [i] | ||
| 6 | Linear OA(3258, 32837, F32, 16) (dual of [32837, 32779, 17]-code) | [i] | ||
| 7 | Linear OA(3259, 32867, F32, 16) (dual of [32867, 32808, 17]-code) | [i] | ||
| 8 | Linear OA(3260, 32870, F32, 16) (dual of [32870, 32810, 17]-code) | [i] | ||
| 9 | Linear OOA(3246, 16385, F32, 2, 16) (dual of [(16385, 2), 32724, 17]-NRT-code) | [i] | OOA Folding | |