Information on Result #869081
Linear OOA(3225, 524290, F32, 2, 7) (dual of [(524290, 2), 1048555, 8]-NRT-code), using OOA 2-folding based on linear OA(3225, 1048580, F32, 7) (dual of [1048580, 1048555, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(3225, 1048576, F32, 7) (dual of [1048576, 1048551, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(3221, 1048576, F32, 6) (dual of [1048576, 1048555, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 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 | Linear OOA(3228, 524323, F32, 2, 7) (dual of [(524323, 2), 1048618, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3229, 525315, F32, 2, 7) (dual of [(525315, 2), 1050601, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(3230, 527426, F32, 2, 7) (dual of [(527426, 2), 1054822, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(3291, 4718591, F32, 2, 14) (dual of [(4718591, 2), 9437091, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(3296, 4718591, F32, 2, 15) (dual of [(4718591, 2), 9437086, 16]-NRT-code) | [i] | ||
| 6 | OOA(3289, 4718591, S32, 2, 14) | [i] | ||
| 7 | OOA(3294, 4718591, S32, 2, 15) | [i] | ||
| 8 | Linear OOA(3241, large, F32, 2, 7) | [i] | Generalized (u, u+v)-Construction for OOAs | |