Information on Result #662867
Linear OA(5125, 78141, F5, 21) (dual of [78141, 78016, 22]-code), using (u, u+v)-construction based on
- linear OA(512, 15, F5, 10) (dual of [15, 3, 11]-code), using
- 1 times truncation [i] based on linear OA(513, 16, F5, 11) (dual of [16, 3, 12]-code), using
- linear OA(5113, 78126, F5, 21) (dual of [78126, 78013, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(5125, 72240, F5, 2, 21) (dual of [(72240, 2), 144355, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5125, 72240, F5, 3, 21) (dual of [(72240, 3), 216595, 22]-NRT-code) | [i] | ||
| 3 | Digital (104, 125, 72240)-net over F5 | [i] | ||