Information on Result #614504
Linear OA(796, 16807, F7, 23) (dual of [16807, 16711, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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 OA(7107, 16819, F7, 23) (dual of [16819, 16712, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(7108, 16821, F7, 23) (dual of [16821, 16713, 24]-code) | [i] | ||
| 3 | Linear OA(7109, 16823, F7, 23) (dual of [16823, 16714, 24]-code) | [i] | ||
| 4 | Linear OA(7110, 16825, F7, 23) (dual of [16825, 16715, 24]-code) | [i] | ||
| 5 | Linear OOA(796, 9612, F7, 2, 23) (dual of [(9612, 2), 19128, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(796, 9612, F7, 3, 23) (dual of [(9612, 3), 28740, 24]-NRT-code) | [i] | ||
| 7 | Digital (73, 96, 9612)-net over F7 | [i] | ||
| 8 | Linear OA(7101, 16812, F7, 24) (dual of [16812, 16711, 25]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(796, 16812, F7, 23) (dual of [16812, 16716, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(7107, 16818, F7, 25) (dual of [16818, 16711, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(798, 16815, F7, 23) (dual of [16815, 16717, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(799, 16820, F7, 23) (dual of [16820, 16721, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(7100, 16826, F7, 23) (dual of [16826, 16726, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(7102, 16833, F7, 23) (dual of [16833, 16731, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(7103, 16839, F7, 23) (dual of [16839, 16736, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(7107, 16848, F7, 23) (dual of [16848, 16741, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(7108, 16854, F7, 23) (dual of [16854, 16746, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(7110, 16857, F7, 23) (dual of [16857, 16747, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(7108, 16820, F7, 25) (dual of [16820, 16712, 26]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(7101, 16828, F7, 23) (dual of [16828, 16727, 24]-code) | [i] | ✔ | |