Information on Result #2265651
Linear OA(3249, large, F3, 21) (dual of [large, large−249, 22]-code), using 39 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(3249, 6696877, F3, 2, 21) (dual of [(6696877, 2), 13393505, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3249, 6696877, F3, 3, 21) (dual of [(6696877, 3), 20090382, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(3249, 6696877, F3, 4, 21) (dual of [(6696877, 4), 26787259, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(3249, 6696877, F3, 5, 21) (dual of [(6696877, 5), 33484136, 22]-NRT-code) | [i] | ||
| 5 | Digital (228, 249, 6696877)-net over F3 | [i] | ||