Information on Result #662929
Linear OA(5139, 1953141, F5, 18) (dual of [1953141, 1953002, 19]-code), using (u, u+v)-construction based on
- linear OA(512, 16, F5, 9) (dual of [16, 4, 10]-code), using
- linear OA(5127, 1953125, F5, 18) (dual of [1953125, 1952998, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(5139, 1815902, F5, 2, 18) (dual of [(1815902, 2), 3631665, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5139, 1815902, F5, 3, 18) (dual of [(1815902, 3), 5447567, 19]-NRT-code) | [i] | ||
| 3 | Digital (121, 139, 1815902)-net over F5 | [i] | ||