Information on Result #696874
Linear OA(3253, 32775, F32, 18) (dual of [32775, 32722, 19]-code), using construction X applied to Ce(17) ⊂ Ce(15) based on
- linear OA(3252, 32768, F32, 18) (dual of [32768, 32716, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 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 | Linear OA(3263, 32819, F32, 18) (dual of [32819, 32756, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3265, 32839, F32, 18) (dual of [32839, 32774, 19]-code) | [i] | ||
| 3 | Linear OA(3268, 32872, F32, 18) (dual of [32872, 32804, 19]-code) | [i] | ||
| 4 | Linear OOA(3253, 17089, F32, 2, 18) (dual of [(17089, 2), 34125, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (35, 53, 17089)-net over F32 | [i] | ||
| 6 | Linear OOA(3253, 16387, F32, 2, 18) (dual of [(16387, 2), 32721, 19]-NRT-code) | [i] | OOA Folding | |