Information on Result #678049
Linear OA(4161, 1048577, F4, 21) (dual of [1048577, 1048416, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(4182, 1048598, F4, 23) (dual of [1048598, 1048416, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4184, 1048583, F4, 25) (dual of [1048583, 1048399, 26]-code) | [i] | ✔ | |
| 3 | Linear OA(4185, 1048594, F4, 25) (dual of [1048594, 1048409, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(4186, 1048602, F4, 25) (dual of [1048602, 1048416, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(4184, 1048598, F4, 24) (dual of [1048598, 1048414, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(4162, 1048598, F4, 21) (dual of [1048598, 1048436, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(4211, 1048627, F4, 27) (dual of [1048627, 1048416, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(4208, 1048620, F4, 26) (dual of [1048620, 1048412, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(4209, 1048625, F4, 26) (dual of [1048625, 1048416, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(4210, 1048626, F4, 27) (dual of [1048626, 1048416, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(4162, 1048599, F4, 21) (dual of [1048599, 1048437, 22]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |