Information on Result #614425
Linear OA(771, 16808, F7, 17) (dual of [16808, 16737, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound)
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(780, 16819, F7, 17) (dual of [16819, 16739, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(781, 16828, F7, 17) (dual of [16828, 16747, 18]-code) | [i] | ||
| 3 | Linear OA(783, 16836, F7, 17) (dual of [16836, 16753, 18]-code) | [i] | ||
| 4 | Linear OA(784, 16857, F7, 17) (dual of [16857, 16773, 18]-code) | [i] | ||
| 5 | Linear OA(783, 16822, F7, 17) (dual of [16822, 16739, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(784, 16825, F7, 17) (dual of [16825, 16741, 18]-code) | [i] | ||
| 7 | Linear OA(779, 16817, F7, 17) (dual of [16817, 16738, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(782, 16819, F7, 19) (dual of [16819, 16737, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(772, 16819, F7, 17) (dual of [16819, 16747, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(795, 16832, F7, 21) (dual of [16832, 16737, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(778, 16835, F7, 17) (dual of [16835, 16757, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(7108, 16845, F7, 23) (dual of [16845, 16737, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(783, 16850, F7, 17) (dual of [16850, 16767, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(782, 16842, F7, 17) (dual of [16842, 16760, 18]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 15 | Linear OA(792, 16830, F7, 19) (dual of [16830, 16738, 20]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |