Information on Result #684710
Linear OA(7101, 16808, F7, 23) (dual of [16808, 16707, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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 OOA(7101, 15284, F7, 2, 23) (dual of [(15284, 2), 30467, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7101, 15284, F7, 3, 23) (dual of [(15284, 3), 45751, 24]-NRT-code) | [i] | ||
| 3 | Digital (78, 101, 15284)-net over F7 | [i] | ||
| 4 | Linear OA(7102, 16819, F7, 23) (dual of [16819, 16717, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(7105, 16832, F7, 23) (dual of [16832, 16727, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(7108, 16845, F7, 23) (dual of [16845, 16737, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(7102, 16830, F7, 21) (dual of [16830, 16728, 22]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |