Information on Result #616540
Linear OA(16104, 586, F16, 40) (dual of [586, 482, 41]-code), using an extension Ce(39) of the narrow-sense BCH-code C(I) with length 585 | 163−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40
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(16107, 589, F16, 41) (dual of [589, 482, 42]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(16104, 587, F16, 40) (dual of [587, 483, 41]-code) | [i] | ✔ | |
| 3 | Linear OA(16111, 593, F16, 42) (dual of [593, 482, 43]-code) | [i] | ✔ | |
| 4 | Linear OA(16107, 593, F16, 40) (dual of [593, 486, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(16115, 597, F16, 43) (dual of [597, 482, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(16108, 597, F16, 40) (dual of [597, 489, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(16119, 601, F16, 44) (dual of [601, 482, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(16109, 601, F16, 40) (dual of [601, 492, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(16123, 603, F16, 45) (dual of [603, 480, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(16124, 606, F16, 45) (dual of [606, 482, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(16110, 603, F16, 40) (dual of [603, 493, 41]-code) | [i] | ✔ | |
| 12 | Linear OA(16128, 610, F16, 46) (dual of [610, 482, 47]-code) | [i] | ✔ | |
| 13 | Linear OOA(16104, 293, F16, 2, 40) (dual of [(293, 2), 482, 41]-NRT-code) | [i] | OOA Folding | |