Information on Result #616199
Linear OA(1621, 1048577, F16, 5) (dual of [1048577, 1048556, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound)
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(1623, 1048580, F16, 5) (dual of [1048580, 1048557, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(1632, 1048588, F16, 7) (dual of [1048588, 1048556, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(1644, 1048595, F16, 9) (dual of [1048595, 1048551, 10]-code) | [i] | ✔ | |
| 4 | Linear OA(1645, 1048601, F16, 9) (dual of [1048601, 1048556, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(1632, 1048589, F16, 7) (dual of [1048589, 1048557, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |