Information on Result #2264473
Linear OA(3133, large, F3, 12) (dual of [large, large−133, 13]-code), using 13 times code embedding in larger space based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(3133, 4497239, F3, 2, 12) (dual of [(4497239, 2), 8994345, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3133, 4497239, F3, 3, 12) (dual of [(4497239, 3), 13491584, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(3133, 4497239, F3, 4, 12) (dual of [(4497239, 4), 17988823, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(3133, 4497239, F3, 5, 12) (dual of [(4497239, 5), 22486062, 13]-NRT-code) | [i] | ||
| 5 | Digital (121, 133, 4497239)-net over F3 | [i] | ||