Information on Result #676375
Linear OA(376, 734, F3, 19) (dual of [734, 658, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,7]) based on
- linear OA(373, 730, F3, 19) (dual of [730, 657, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(361, 730, F3, 15) (dual of [730, 669, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(33, 4, F3, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,3) or 4-cap in PG(2,3)), using
- dual of repetition code with length 4 [i]
- oval in PG(2, 3) [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(376, 442, F3, 2, 19) (dual of [(442, 2), 808, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(376, 442, F3, 3, 19) (dual of [(442, 3), 1250, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(376, 442, F3, 4, 19) (dual of [(442, 4), 1692, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(376, 442, F3, 5, 19) (dual of [(442, 5), 2134, 20]-NRT-code) | [i] | ||
| 5 | Digital (57, 76, 442)-net over F3 | [i] | ||