Information on Result #662958
Linear OA(5130, 1953152, F5, 17) (dual of [1953152, 1953022, 18]-code), using (u, u+v)-construction based on
- linear OA(512, 27, F5, 8) (dual of [27, 15, 9]-code), using
- 3 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- 3 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- 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(5130, 1647578, F5, 2, 17) (dual of [(1647578, 2), 3295026, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5130, 1647578, F5, 3, 17) (dual of [(1647578, 3), 4942604, 18]-NRT-code) | [i] | ||
| 3 | Digital (113, 130, 1647578)-net over F5 | [i] | ||