Information on Result #696870
Linear OA(3277, 32775, F32, 26) (dual of [32775, 32698, 27]-code), using construction X applied to Ce(25) ⊂ Ce(23) based on
- 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(3270, 32768, F32, 24) (dual of [32768, 32698, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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 | Linear OA(3293, 32839, F32, 26) (dual of [32839, 32746, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3295, 32851, F32, 26) (dual of [32851, 32756, 27]-code) | [i] | ||
| 3 | Linear OA(3297, 32873, F32, 26) (dual of [32873, 32776, 27]-code) | [i] | ||
| 4 | Linear OOA(3277, 18452, F32, 2, 26) (dual of [(18452, 2), 36827, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (51, 77, 18452)-net over F32 | [i] | ||
| 6 | Linear OOA(3277, 16387, F32, 2, 26) (dual of [(16387, 2), 32697, 27]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3277, 2521, F32, 26, 26) (dual of [(2521, 26), 65469, 27]-NRT-code) | [i] | OA Folding and Stacking | |