Information on Result #2247280
Linear OA(5144, 15625, F5, 30) (dual of [15625, 15481, 31]-code), using 1 times truncation based on linear OA(5145, 15626, F5, 31) (dual of [15626, 15481, 32]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
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(5144, 10468, F5, 2, 30) (dual of [(10468, 2), 20792, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5144, 10468, F5, 3, 30) (dual of [(10468, 3), 31260, 31]-NRT-code) | [i] | ||
| 3 | Digital (114, 144, 10468)-net over F5 | [i] | ||
| 4 | Linear OOA(5144, 7812, F5, 2, 30) (dual of [(7812, 2), 15480, 31]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5144, 5208, F5, 3, 30) (dual of [(5208, 3), 15480, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(5144, 1041, F5, 30, 30) (dual of [(1041, 30), 31086, 31]-NRT-code) | [i] | OA Folding and Stacking | |