Information on Result #952469
Linear OOA(3120, 177146, F3, 3, 15) (dual of [(177146, 3), 531318, 16]-NRT-code), using OOA 3-folding based on linear OA(3120, 531438, F3, 15) (dual of [531438, 531318, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3120, 531440, F3, 15) (dual of [531440, 531320, 16]-code), using
- 1 times truncation [i] based on linear OA(3121, 531441, F3, 16) (dual of [531441, 531320, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 1 times truncation [i] based on linear OA(3121, 531441, F3, 16) (dual of [531441, 531320, 17]-code), using
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(3120, 177146, F3, 4, 15) (dual of [(177146, 4), 708464, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3120, 177146, F3, 5, 15) (dual of [(177146, 5), 885610, 16]-NRT-code) | [i] | ||
| 3 | Digital (105, 120, 177146)-net over F3 | [i] | ||