Information on Result #2265215
Linear OA(3198, large, F3, 17) (dual of [large, large−198, 18]-code), using 32 times code embedding in larger space based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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(3198, 5928272, F3, 2, 17) (dual of [(5928272, 2), 11856346, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3198, 5928272, F3, 3, 17) (dual of [(5928272, 3), 17784618, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(3198, 5928272, F3, 4, 17) (dual of [(5928272, 4), 23712890, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(3198, 5928272, F3, 5, 17) (dual of [(5928272, 5), 29641162, 18]-NRT-code) | [i] | ||
| 5 | Digital (181, 198, 5928272)-net over F3 | [i] | ||