Information on Result #661921
Linear OA(3185, 6578, F3, 32) (dual of [6578, 6393, 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(3169, 6561, F3, 32) (dual of [6561, 6392, 33]-code), using
- an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, 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(3185, 5054, F3, 2, 32) (dual of [(5054, 2), 9923, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3185, 5054, F3, 3, 32) (dual of [(5054, 3), 14977, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(3185, 5054, F3, 4, 32) (dual of [(5054, 4), 20031, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(3185, 5054, F3, 5, 32) (dual of [(5054, 5), 25085, 33]-NRT-code) | [i] | ||
| 5 | Digital (153, 185, 5054)-net over F3 | [i] | ||