Information on Result #2265645
Linear OA(3243, large, F3, 21) (dual of [large, large−243, 22]-code), using 33 times code embedding in larger space based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(3243, 4733713, F3, 2, 21) (dual of [(4733713, 2), 9467183, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3243, 4733713, F3, 3, 21) (dual of [(4733713, 3), 14200896, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(3243, 4733713, F3, 4, 21) (dual of [(4733713, 4), 18934609, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(3243, 4733713, F3, 5, 21) (dual of [(4733713, 5), 23668322, 22]-NRT-code) | [i] | ||
| 5 | Digital (222, 243, 4733713)-net over F3 | [i] | ||