Information on Result #662041
Linear OA(362, 737, F3, 14) (dual of [737, 675, 15]-code), using (u, u+v)-construction based on
- linear OA(37, 8, F3, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,3)), using
- dual of repetition code with length 8 [i]
- linear OA(355, 729, F3, 14) (dual of [729, 674, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(362, 694, F3, 2, 14) (dual of [(694, 2), 1326, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(362, 694, F3, 3, 14) (dual of [(694, 3), 2020, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(362, 694, F3, 4, 14) (dual of [(694, 4), 2714, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(362, 694, F3, 5, 14) (dual of [(694, 5), 3408, 15]-NRT-code) | [i] | ||
| 5 | Digital (48, 62, 694)-net over F3 | [i] | ||