Information on Result #616549
Linear OA(16107, 586, F16, 41) (dual of [586, 479, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41
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(16110, 589, F16, 42) (dual of [589, 479, 43]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(16107, 589, F16, 41) (dual of [589, 482, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(16114, 593, F16, 43) (dual of [593, 479, 44]-code) | [i] | ✔ | |
| 4 | Linear OA(16108, 591, F16, 41) (dual of [591, 483, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(16118, 597, F16, 44) (dual of [597, 479, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(16111, 597, F16, 41) (dual of [597, 486, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(16122, 601, F16, 45) (dual of [601, 479, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(16112, 601, F16, 41) (dual of [601, 489, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(16126, 603, F16, 46) (dual of [603, 477, 47]-code) | [i] | ✔ | |
| 10 | Linear OA(16127, 606, F16, 46) (dual of [606, 479, 47]-code) | [i] | ✔ | |
| 11 | Linear OA(16113, 603, F16, 41) (dual of [603, 490, 42]-code) | [i] | ✔ | |