Information on Result #676670
Linear OA(3153, 749, F3, 38) (dual of [749, 596, 39]-code), using construction X applied to Ce(37) ⊂ Ce(33) based on
- linear OA(3148, 729, F3, 38) (dual of [729, 581, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3130, 729, F3, 34) (dual of [729, 599, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(3153, 707, F3, 2, 38) (dual of [(707, 2), 1261, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3153, 707, F3, 3, 38) (dual of [(707, 3), 1968, 39]-NRT-code) | [i] | ||
| 3 | Linear OOA(3153, 707, F3, 4, 38) (dual of [(707, 4), 2675, 39]-NRT-code) | [i] | ||
| 4 | Linear OOA(3153, 707, F3, 5, 38) (dual of [(707, 5), 3382, 39]-NRT-code) | [i] | ||
| 5 | Digital (115, 153, 707)-net over F3 | [i] | ||