Information on Result #704214
Linear OA(348, 728, F3, 12) (dual of [728, 680, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(348, 387, F3, 2, 12) (dual of [(387, 2), 726, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(348, 387, F3, 3, 12) (dual of [(387, 3), 1113, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(348, 387, F3, 4, 12) (dual of [(387, 4), 1500, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(348, 387, F3, 5, 12) (dual of [(387, 5), 1887, 13]-NRT-code) | [i] | ||
| 5 | Digital (36, 48, 387)-net over F3 | [i] | ||
| 6 | Linear OA(357, 743, F3, 14) (dual of [743, 686, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(367, 759, F3, 15) (dual of [759, 692, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(367, 753, F3, 16) (dual of [753, 686, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(365, 748, F3, 15) (dual of [748, 683, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(372, 752, F3, 17) (dual of [752, 680, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(380, 760, F3, 18) (dual of [760, 680, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(379, 759, F3, 18) (dual of [759, 680, 19]-code) | [i] | ✔ | |
| 13 | Linear OOA(348, 364, F3, 2, 12) (dual of [(364, 2), 680, 13]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(348, 182, F3, 4, 12) (dual of [(182, 4), 680, 13]-NRT-code) | [i] | ||