Information on Result #696869
Linear OA(3283, 32775, F32, 28) (dual of [32775, 32692, 29]-code), using construction X applied to Ce(27) ⊂ Ce(25) based on
- linear OA(3282, 32768, F32, 28) (dual of [32768, 32686, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3276, 32768, F32, 26) (dual of [32768, 32692, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-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(16104, 32775, S16, 28) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(32100, 32839, F32, 28) (dual of [32839, 32739, 29]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(32102, 32851, F32, 28) (dual of [32851, 32749, 29]-code) | [i] | ||
| 4 | Linear OA(32104, 32873, F32, 28) (dual of [32873, 32769, 29]-code) | [i] | ||
| 5 | Linear OA(32106, 32879, F32, 28) (dual of [32879, 32773, 29]-code) | [i] | ||
| 6 | Linear OOA(3283, 18995, F32, 2, 28) (dual of [(18995, 2), 37907, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Digital (55, 83, 18995)-net over F32 | [i] | ||
| 8 | Linear OOA(3283, 16387, F32, 2, 28) (dual of [(16387, 2), 32691, 29]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(3283, 2341, F32, 28, 28) (dual of [(2341, 28), 65465, 29]-NRT-code) | [i] | OA Folding and Stacking | |