Information on Result #662713
Linear OA(5116, 390637, F5, 17) (dual of [390637, 390521, 18]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(55, 6, F5, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,5)), using
- dual of repetition code with length 6 [i]
- linear OA(56, 6, F5, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,5)), using
- linear OA(5105, 390625, F5, 17) (dual of [390625, 390520, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(5116, 366830, F5, 2, 17) (dual of [(366830, 2), 733544, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5116, 366830, F5, 3, 17) (dual of [(366830, 3), 1100374, 18]-NRT-code) | [i] | ||
| 3 | Digital (99, 116, 366830)-net over F5 | [i] | ||