Information on Result #694955
Linear OA(27103, 19684, F27, 35) (dual of [19684, 19581, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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(27103, 13429, F27, 2, 35) (dual of [(13429, 2), 26755, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (68, 103, 13429)-net over F27 | [i] | ||
| 3 | Linear OA(27110, 19691, F27, 37) (dual of [19691, 19581, 38]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(27104, 19691, F27, 35) (dual of [19691, 19587, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(27106, 19699, F27, 35) (dual of [19699, 19593, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(27108, 19707, F27, 35) (dual of [19707, 19599, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(27110, 19712, F27, 35) (dual of [19712, 19602, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(27109, 19712, F27, 34) (dual of [19712, 19603, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(27110, 19715, F27, 34) (dual of [19715, 19605, 35]-code) | [i] | ✔ | |