Information on Result #2265068
Linear OA(3186, large, F3, 16) (dual of [large, large−186, 17]-code), using 35 times code embedding in larger space based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [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(3186, 6098786, F3, 2, 16) (dual of [(6098786, 2), 12197386, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3186, 6098786, F3, 3, 16) (dual of [(6098786, 3), 18296172, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(3186, 6098786, F3, 4, 16) (dual of [(6098786, 4), 24394958, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(3186, 6098786, F3, 5, 16) (dual of [(6098786, 5), 30493744, 17]-NRT-code) | [i] | ||
| 5 | Digital (170, 186, 6098786)-net over F3 | [i] | ||