Information on Result #616602
Linear OA(16125, 586, F16, 47) (dual of [586, 461, 48]-code), using an extension Ce(46) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47
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(16129, 590, F16, 49) (dual of [590, 461, 50]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(16125, 589, F16, 47) (dual of [589, 464, 48]-code) | [i] | ✔ | |
| 3 | Linear OA(16126, 593, F16, 47) (dual of [593, 467, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(16127, 597, F16, 47) (dual of [597, 470, 48]-code) | [i] | ✔ | |
| 5 | Linear OA(16128, 601, F16, 47) (dual of [601, 473, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(16129, 603, F16, 47) (dual of [603, 474, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(16130, 606, F16, 47) (dual of [606, 476, 48]-code) | [i] | ✔ | |