Information on Result #693299
Linear OA(25103, 15626, F25, 35) (dual of [15626, 15523, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, 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(25103, 11466, F25, 2, 35) (dual of [(11466, 2), 22829, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (68, 103, 11466)-net over F25 | [i] | ||
| 3 | Linear OA(25110, 15633, F25, 37) (dual of [15633, 15523, 38]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(25104, 15633, F25, 35) (dual of [15633, 15529, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(25106, 15641, F25, 35) (dual of [15641, 15535, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(25108, 15649, F25, 35) (dual of [15649, 15541, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(25110, 15652, F25, 35) (dual of [15652, 15542, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(25109, 15652, F25, 34) (dual of [15652, 15543, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(25110, 15655, F25, 34) (dual of [15655, 15545, 35]-code) | [i] | ✔ | |