Information on Result #662852
Linear OA(5131, 78137, F5, 22) (dual of [78137, 78006, 23]-code), using (u, u+v)-construction based on
- linear OA(511, 12, F5, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,5)), using
- dual of repetition code with length 12 [i]
- linear OA(5120, 78125, F5, 22) (dual of [78125, 78005, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(5131, 72522, F5, 2, 22) (dual of [(72522, 2), 144913, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5131, 72522, F5, 3, 22) (dual of [(72522, 3), 217435, 23]-NRT-code) | [i] | ||
| 3 | Digital (109, 131, 72522)-net over F5 | [i] | ||