Information on Result #2265648
Linear OA(3246, large, F3, 21) (dual of [large, large−246, 22]-code), using 36 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(3246, 5630373, F3, 2, 21) (dual of [(5630373, 2), 11260500, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3246, 5630373, F3, 3, 21) (dual of [(5630373, 3), 16890873, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(3246, 5630373, F3, 4, 21) (dual of [(5630373, 4), 22521246, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(3246, 5630373, F3, 5, 21) (dual of [(5630373, 5), 28151619, 22]-NRT-code) | [i] | ||
| 5 | Digital (225, 246, 5630373)-net over F3 | [i] | ||