Information on Result #696566
Linear OA(3229, 1048580, F32, 8) (dual of [1048580, 1048551, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
- linear OA(3229, 1048576, F32, 8) (dual of [1048576, 1048547, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- 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(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(3233, 1048613, F32, 8) (dual of [1048613, 1048580, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3234, 1048624, F32, 8) (dual of [1048624, 1048590, 9]-code) | [i] | ||
| 3 | Linear OA(3235, 1049572, F32, 8) (dual of [1049572, 1049537, 9]-code) | [i] | ||
| 4 | Linear OOA(3229, 524290, F32, 2, 8) (dual of [(524290, 2), 1048551, 9]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3229, 262145, F32, 8, 8) (dual of [(262145, 8), 2097131, 9]-NRT-code) | [i] | OA Folding and Stacking | |