Information on Result #869056
Linear OOA(3216, 16385, F32, 2, 6) (dual of [(16385, 2), 32754, 7]-NRT-code), using OOA 2-folding based on linear OA(3216, 32770, F32, 6) (dual of [32770, 32754, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(3216, 32771, F32, 6) (dual of [32771, 32755, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(3216, 32768, F32, 6) (dual of [32768, 32752, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(3213, 32768, F32, 5) (dual of [32768, 32755, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
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 OOA(3219, 16418, F32, 2, 6) (dual of [(16418, 2), 32817, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3220, 17410, F32, 2, 6) (dual of [(17410, 2), 34800, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(3272, 4210686, F32, 2, 12) (dual of [(4210686, 2), 8421300, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(3277, 4210686, F32, 2, 13) (dual of [(4210686, 2), 8421295, 14]-NRT-code) | [i] | ||
| 5 | OOA(3270, 4210686, S32, 2, 12) | [i] | ||
| 6 | OOA(3275, 4210686, S32, 2, 13) | [i] | ||