Information on Result #2265069
Linear OA(3187, large, F3, 16) (dual of [large, large−187, 17]-code), using 36 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(3187, 6596652, F3, 2, 16) (dual of [(6596652, 2), 13193117, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3187, 6596652, F3, 3, 16) (dual of [(6596652, 3), 19789769, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(3187, 6596652, F3, 4, 16) (dual of [(6596652, 4), 26386421, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(3187, 6596652, F3, 5, 16) (dual of [(6596652, 5), 32983073, 17]-NRT-code) | [i] | ||
| 5 | Digital (171, 187, 6596652)-net over F3 | [i] | ||