Information on Result #696559
Linear OA(3249, 1048580, F32, 13) (dual of [1048580, 1048531, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) 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 OA(3255, 1048613, F32, 13) (dual of [1048613, 1048558, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3256, 1048624, F32, 13) (dual of [1048624, 1048568, 14]-code) | [i] | ||
| 3 | Linear OA(3257, 1048626, F32, 13) (dual of [1048626, 1048569, 14]-code) | [i] | ||
| 4 | Linear OA(3258, 1048646, F32, 13) (dual of [1048646, 1048588, 14]-code) | [i] | ||
| 5 | Linear OA(3259, 1048677, F32, 13) (dual of [1048677, 1048618, 14]-code) | [i] | ||
| 6 | Linear OA(3260, 1049607, F32, 13) (dual of [1049607, 1049547, 14]-code) | [i] | ||
| 7 | Linear OOA(3249, 524290, F32, 2, 13) (dual of [(524290, 2), 1048531, 14]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3249, 174763, F32, 13, 13) (dual of [(174763, 13), 2271870, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |