Information on Result #869279
Linear OOA(3249, 524290, F32, 2, 13) (dual of [(524290, 2), 1048531, 14]-NRT-code), using OOA 2-folding based on linear OA(3249, 1048580, F32, 13) (dual of [1048580, 1048531, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(3249, 1048576, F32, 13) (dual of [1048576, 1048527, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(3245, 1048576, F32, 12) (dual of [1048576, 1048531, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(3255, 524323, F32, 2, 13) (dual of [(524323, 2), 1048591, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3256, 524334, F32, 2, 13) (dual of [(524334, 2), 1048612, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(3258, 524356, F32, 2, 13) (dual of [(524356, 2), 1048654, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(3259, 524367, F32, 2, 13) (dual of [(524367, 2), 1048675, 14]-NRT-code) | [i] | ||