Information on Result #661937
Linear OA(3186, 19698, F3, 29) (dual of [19698, 19512, 30]-code), using (u, u+v)-construction based on
- linear OA(314, 15, F3, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,3)), using
- dual of repetition code with length 15 [i]
- linear OA(3172, 19683, F3, 29) (dual of [19683, 19511, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(3186, 10126, F3, 2, 29) (dual of [(10126, 2), 20066, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3186, 10126, F3, 3, 29) (dual of [(10126, 3), 30192, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(3186, 10126, F3, 4, 29) (dual of [(10126, 4), 40318, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(3186, 10126, F3, 5, 29) (dual of [(10126, 5), 50444, 30]-NRT-code) | [i] | ||
| 5 | Digital (157, 186, 10126)-net over F3 | [i] | ||