Information on Result #704310
Linear OA(366, 728, F3, 16) (dual of [728, 662, 17]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(366, 484, F3, 2, 16) (dual of [(484, 2), 902, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(366, 484, F3, 3, 16) (dual of [(484, 3), 1386, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(366, 484, F3, 4, 16) (dual of [(484, 4), 1870, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(366, 484, F3, 5, 16) (dual of [(484, 5), 2354, 17]-NRT-code) | [i] | ||
| 5 | Digital (50, 66, 484)-net over F3 | [i] | ||
| 6 | Linear OA(384, 752, F3, 20) (dual of [752, 668, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(392, 760, F3, 21) (dual of [760, 668, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(381, 743, F3, 20) (dual of [743, 662, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(391, 753, F3, 22) (dual of [753, 662, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(389, 748, F3, 21) (dual of [748, 659, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(3108, 769, F3, 24) (dual of [769, 661, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(3124, 781, F3, 27) (dual of [781, 657, 28]-code) | [i] | ✔ | |