Information on Result #662954
Linear OA(5126, 1953134, F5, 17) (dual of [1953134, 1953008, 18]-code), using (u, u+v)-construction based on
- linear OA(58, 9, F5, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,5)), using
- dual of repetition code with length 9 [i]
- linear OA(5118, 1953125, F5, 17) (dual of [1953125, 1953007, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, 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(5126, 1072636, F5, 2, 17) (dual of [(1072636, 2), 2145146, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5126, 1072636, F5, 3, 17) (dual of [(1072636, 3), 3217782, 18]-NRT-code) | [i] | ||
| 3 | Digital (109, 126, 1072636)-net over F5 | [i] | ||