Information on Result #696856
Linear OA(3219, 32771, F32, 7) (dual of [32771, 32752, 8]-code), using construction X applied to Ce(6) ⊂ Ce(5) based on
- linear OA(3219, 32768, F32, 7) (dual of [32768, 32749, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(3216, 32768, F32, 6) (dual of [32768, 32752, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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
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 | OA(1624, 32771, S16, 7) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(3222, 32805, F32, 7) (dual of [32805, 32783, 8]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(3223, 33796, F32, 7) (dual of [33796, 33773, 8]-code) | [i] | ||
| 4 | Linear OA(3224, 35907, F32, 7) (dual of [35907, 35883, 8]-code) | [i] | ||
| 5 | Linear OOA(3219, 16385, F32, 2, 7) (dual of [(16385, 2), 32751, 8]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3219, 10923, F32, 7, 7) (dual of [(10923, 7), 76442, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |