Information on Result #674323
Linear OA(3140, 4782968, F3, 15) (dual of [4782968, 4782828, 16]-code), using the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, 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 OA(3149, 4782980, F3, 15) (dual of [4782980, 4782831, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3141, 4782984, F3, 15) (dual of [4782984, 4782843, 16]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 3 | Linear OOA(3140, 2391484, F3, 2, 15) (dual of [(2391484, 2), 4782828, 16]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3140, 1594322, F3, 3, 15) (dual of [(1594322, 3), 4782826, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(3140, 1195742, F3, 4, 15) (dual of [(1195742, 4), 4782828, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(3140, 956593, F3, 5, 15) (dual of [(956593, 5), 4782825, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(3140, 683281, F3, 15, 15) (dual of [(683281, 15), 10249075, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |