Information on Result #2263993
Linear OA(398, large, F3, 9) (dual of [large, large−98, 10]-code), using 8 times code embedding in larger space based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(398, 6909167, F3, 2, 9) (dual of [(6909167, 2), 13818236, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(398, 6909167, F3, 3, 9) (dual of [(6909167, 3), 20727403, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(398, 6909167, F3, 4, 9) (dual of [(6909167, 4), 27636570, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(398, 6909167, F3, 5, 9) (dual of [(6909167, 5), 34545737, 10]-NRT-code) | [i] | ||
| 5 | Digital (89, 98, 6909167)-net over F3 | [i] | ||