Information on Result #676683
Linear OA(3114, 749, F3, 27) (dual of [749, 635, 28]-code), using construction X applied to Ce(27) ⊂ Ce(22) based on
- linear OA(3109, 729, F3, 28) (dual of [729, 620, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(391, 729, F3, 23) (dual of [729, 638, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), 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 OOA(3114, 708, F3, 2, 27) (dual of [(708, 2), 1302, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3114, 708, F3, 3, 27) (dual of [(708, 3), 2010, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(3114, 708, F3, 4, 27) (dual of [(708, 4), 2718, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(3114, 708, F3, 5, 27) (dual of [(708, 5), 3426, 28]-NRT-code) | [i] | ||
| 5 | Digital (87, 114, 708)-net over F3 | [i] | ||