Information on Result #2265071
Linear OA(3189, large, F3, 16) (dual of [large, large−189, 17]-code), using 38 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(3189, 7717628, F3, 2, 16) (dual of [(7717628, 2), 15435067, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3189, 7717628, F3, 3, 16) (dual of [(7717628, 3), 23152695, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(3189, 7717628, F3, 4, 16) (dual of [(7717628, 4), 30870323, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(3189, 7717628, F3, 5, 16) (dual of [(7717628, 5), 38587951, 17]-NRT-code) | [i] | ||
| 5 | Digital (173, 189, 7717628)-net over F3 | [i] | ||