Information on Result #703869
Linear OA(357, 364, F3, 15) (dual of [364, 307, 16]-code), using the narrow-sense BCH-code C(I) with length 364 | 36−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(357, 311, F3, 2, 15) (dual of [(311, 2), 565, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(357, 311, F3, 3, 15) (dual of [(311, 3), 876, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(357, 311, F3, 4, 15) (dual of [(311, 4), 1187, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(357, 311, F3, 5, 15) (dual of [(311, 5), 1498, 16]-NRT-code) | [i] | ||
| 5 | Digital (42, 57, 311)-net over F3 | [i] | ||
| 6 | Linear OA(366, 376, F3, 17) (dual of [376, 310, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OOA(357, 182, F3, 2, 15) (dual of [(182, 2), 307, 16]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(357, 121, F3, 3, 15) (dual of [(121, 3), 306, 16]-NRT-code) | [i] | ||