Information on Result #684441
Linear OA(7101, 5764822, F7, 15) (dual of [5764822, 5764721, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,5]) based on
- linear OA(797, 5764802, F7, 15) (dual of [5764802, 5764705, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 716−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(781, 5764802, F7, 11) (dual of [5764802, 5764721, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 716−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(74, 20, F7, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,7)), using
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(7101, 2992320, F7, 2, 15) (dual of [(2992320, 2), 5984539, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7101, 2992320, F7, 3, 15) (dual of [(2992320, 3), 8976859, 16]-NRT-code) | [i] | ||
| 3 | Digital (86, 101, 2992320)-net over F7 | [i] | ||