Information on Result #612936
Linear OA(4191, 1048576, F4, 26) (dual of [1048576, 1048385, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(4204, 1048590, F4, 26) (dual of [1048590, 1048386, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4207, 1048595, F4, 26) (dual of [1048595, 1048388, 27]-code) | [i] | ||
| 3 | Linear OA(4208, 1048597, F4, 26) (dual of [1048597, 1048389, 27]-code) | [i] | ||
| 4 | Linear OA(4208, 1048594, F4, 26) (dual of [1048594, 1048386, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(4201, 1048586, F4, 27) (dual of [1048586, 1048385, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(4191, 1048586, F4, 26) (dual of [1048586, 1048395, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(4212, 1048597, F4, 28) (dual of [1048597, 1048385, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(4214, 1048597, F4, 29) (dual of [1048597, 1048383, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(4215, 1048600, F4, 29) (dual of [1048600, 1048385, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(4194, 1048597, F4, 26) (dual of [1048597, 1048403, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(4195, 1048600, F4, 26) (dual of [1048600, 1048405, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(4226, 1048611, F4, 30) (dual of [1048611, 1048385, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(4196, 1048611, F4, 26) (dual of [1048611, 1048415, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(4238, 1048619, F4, 31) (dual of [1048619, 1048381, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(4239, 1048624, F4, 31) (dual of [1048624, 1048385, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(4198, 1048619, F4, 26) (dual of [1048619, 1048421, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(4199, 1048624, F4, 26) (dual of [1048624, 1048425, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(4254, 1048639, F4, 33) (dual of [1048639, 1048385, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(4251, 1048636, F4, 32) (dual of [1048636, 1048385, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(4204, 1048639, F4, 26) (dual of [1048639, 1048435, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(4208, 1048644, F4, 26) (dual of [1048644, 1048436, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(4209, 1048654, F4, 26) (dual of [1048654, 1048445, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(4207, 1048645, F4, 26) (dual of [1048645, 1048438, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(4208, 1048648, F4, 26) (dual of [1048648, 1048440, 27]-code) | [i] | ✔ | |
| 25 | Linear OA(4250, 1048627, F4, 32) (dual of [1048627, 1048377, 33]-code) | [i] | ✔ | |
| 26 | Linear OA(4205, 1048641, F4, 26) (dual of [1048641, 1048436, 27]-code) | [i] | ✔ | |
| 27 | Linear OA(4206, 1048651, F4, 26) (dual of [1048651, 1048445, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(4222, 1048608, F4, 28) (dual of [1048608, 1048386, 29]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |