Information on Result #684507
Linear OA(788, 823552, F7, 15) (dual of [823552, 823464, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,5]) based on
- linear OA(785, 823544, F7, 15) (dual of [823544, 823459, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 823544 | 714−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(771, 823544, F7, 11) (dual of [823544, 823473, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 823544 | 714−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(73, 8, F7, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,7) or 8-cap in PG(2,7)), using
- extended Reed–Solomon code RSe(5,7) [i]
- oval in PG(2, 7) [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(788, 427468, F7, 2, 15) (dual of [(427468, 2), 854848, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(788, 427468, F7, 3, 15) (dual of [(427468, 3), 1282316, 16]-NRT-code) | [i] | ||
| 3 | Digital (73, 88, 427468)-net over F7 | [i] | ||