Information on Result #661922
Linear OA(3206, 19700, F3, 32) (dual of [19700, 19494, 33]-code), using (u, u+v)-construction based on
- linear OA(316, 17, F3, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,3)), using
- dual of repetition code with length 17 [i]
- linear OA(3190, 19683, F3, 32) (dual of [19683, 19493, 33]-code), using
- an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [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(3206, 10938, F3, 2, 32) (dual of [(10938, 2), 21670, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3206, 10938, F3, 3, 32) (dual of [(10938, 3), 32608, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(3206, 10938, F3, 4, 32) (dual of [(10938, 4), 43546, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(3206, 10938, F3, 5, 32) (dual of [(10938, 5), 54484, 33]-NRT-code) | [i] | ||
| 5 | Digital (174, 206, 10938)-net over F3 | [i] | ||