Information on Result #611763
Linear OA(398, 19692, F3, 15) (dual of [19692, 19594, 16]-code), using construction X applied to C([0,7]) ⊂ C([1,7]) based on
- linear OA(391, 19684, F3, 15) (dual of [19684, 19593, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(390, 19684, F3, 7) (dual of [19684, 19594, 8]-code), using the narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- 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]
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(398, 10278, F3, 2, 15) (dual of [(10278, 2), 20458, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(398, 10278, F3, 3, 15) (dual of [(10278, 3), 30736, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(398, 10278, F3, 4, 15) (dual of [(10278, 4), 41014, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(398, 10278, F3, 5, 15) (dual of [(10278, 5), 51292, 16]-NRT-code) | [i] | ||
| 5 | Digital (83, 98, 10278)-net over F3 | [i] | ||