Information on Result #611826
Linear OA(382, 740, F3, 19) (dual of [740, 658, 20]-code), using construction X applied to C([0,9]) ⊂ C([1,9]) 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(372, 730, F3, 9) (dual of [730, 658, 10]-code), using the narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(39, 10, F3, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,3)), using
- dual of repetition code with length 10 [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(382, 658, F3, 2, 19) (dual of [(658, 2), 1234, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(382, 658, F3, 3, 19) (dual of [(658, 3), 1892, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(382, 658, F3, 4, 19) (dual of [(658, 4), 2550, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(382, 658, F3, 5, 19) (dual of [(658, 5), 3208, 20]-NRT-code) | [i] | ||
| 5 | Digital (63, 82, 658)-net over F3 | [i] | ||