Information on Result #869041
Linear OOA(3213, 16385, F32, 2, 5) (dual of [(16385, 2), 32757, 6]-NRT-code), using OOA 2-folding based on linear OA(3213, 32770, F32, 5) (dual of [32770, 32757, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(3213, 32771, F32, 5) (dual of [32771, 32758, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- 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(3210, 32768, F32, 4) (dual of [32768, 32758, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(4) ⊂ Ce(3) [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(3216, 17442, F32, 2, 5) (dual of [(17442, 2), 34868, 6]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3259, 4210686, F32, 2, 10) (dual of [(4210686, 2), 8421313, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(3264, 4210686, F32, 2, 11) (dual of [(4210686, 2), 8421308, 12]-NRT-code) | [i] | ||