Information on Result #662004
Linear OA(375, 738, F3, 17) (dual of [738, 663, 18]-code), using (u, u+v)-construction based on
- linear OA(38, 9, F3, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,3)), using
- dual of repetition code with length 9 [i]
- linear OA(367, 729, F3, 17) (dual of [729, 662, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
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(375, 712, F3, 2, 17) (dual of [(712, 2), 1349, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(375, 712, F3, 3, 17) (dual of [(712, 3), 2061, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(375, 712, F3, 4, 17) (dual of [(712, 4), 2773, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(375, 712, F3, 5, 17) (dual of [(712, 5), 3485, 18]-NRT-code) | [i] | ||
| 5 | Digital (58, 75, 712)-net over F3 | [i] | ||