Information on Result #684717
Linear OA(765, 16822, F7, 15) (dual of [16822, 16757, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,5]) based on
- linear OA(761, 16808, F7, 15) (dual of [16808, 16747, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(751, 16808, F7, 11) (dual of [16808, 16757, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(74, 14, F7, 3) (dual of [14, 10, 4]-code or 14-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(765, 13661, F7, 2, 15) (dual of [(13661, 2), 27257, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(765, 13661, F7, 3, 15) (dual of [(13661, 3), 40918, 16]-NRT-code) | [i] | ||
| 3 | Digital (50, 65, 13661)-net over F7 | [i] | ||
| 4 | Linear OOA(765, 2403, F7, 15, 15) (dual of [(2403, 15), 35980, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |