Information on Result #611558
Linear OA(343, 4782969, F3, 5) (dual of [4782969, 4782926, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5
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(345, 4782973, F3, 5) (dual of [4782973, 4782928, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(343, 4345614, F3, 2, 5) (dual of [(4345614, 2), 8691185, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(343, 4345614, F3, 3, 5) (dual of [(4345614, 3), 13036799, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(343, 4345614, F3, 4, 5) (dual of [(4345614, 4), 17382413, 6]-NRT-code) | [i] | ||
| 5 | Linear OA(358, 4782984, F3, 7) (dual of [4782984, 4782926, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(343, 4782983, F3, 5) (dual of [4782983, 4782940, 6]-code) | [i] | ✔ | |
| 7 | Linear OA(375, 4783001, F3, 8) (dual of [4783001, 4782926, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(358, 4782985, F3, 7) (dual of [4782985, 4782927, 8]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(344, 4782985, F3, 5) (dual of [4782985, 4782941, 6]-code) | [i] | ✔ | |