Information on Result #2277213
Linear OA(5123, large, F5, 15) (dual of [large, large−123, 16]-code), using 3 times code embedding in larger space based on linear OA(5120, large, F5, 15) (dual of [large, large−120, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(5123, 5139373, F5, 2, 15) (dual of [(5139373, 2), 10278623, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5123, 5139373, F5, 3, 15) (dual of [(5139373, 3), 15417996, 16]-NRT-code) | [i] | ||
| 3 | Digital (108, 123, 5139373)-net over F5 | [i] | ||