Information on Result #616587
Linear OA(16119, 586, F16, 45) (dual of [586, 467, 46]-code), using an extension Ce(44) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45
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(16122, 589, F16, 46) (dual of [589, 467, 47]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(16119, 589, F16, 45) (dual of [589, 470, 46]-code) | [i] | ✔ | |
| 3 | Linear OA(16126, 593, F16, 47) (dual of [593, 467, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(16120, 593, F16, 45) (dual of [593, 473, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(16130, 597, F16, 48) (dual of [597, 467, 49]-code) | [i] | ✔ | |
| 6 | Linear OA(16121, 597, F16, 45) (dual of [597, 476, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(16122, 601, F16, 45) (dual of [601, 479, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(16123, 603, F16, 45) (dual of [603, 480, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(16124, 606, F16, 45) (dual of [606, 482, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(16125, 608, F16, 45) (dual of [608, 483, 46]-code) | [i] | ✔ | |