Information on Result #678113
Linear OA(4181, 1048576, F4, 25) (dual of [1048576, 1048395, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(4191, 1048586, F4, 26) (dual of [1048586, 1048395, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4182, 1048587, F4, 25) (dual of [1048587, 1048405, 26]-code) | [i] | ✔ | |
| 3 | Linear OA(4182, 1048597, F4, 24) (dual of [1048597, 1048415, 25]-code) | [i] | ✔ | |
| 4 | Linear OA(4184, 1048597, F4, 25) (dual of [1048597, 1048413, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(4185, 1048600, F4, 25) (dual of [1048600, 1048415, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(4216, 1048611, F4, 29) (dual of [1048611, 1048395, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(4186, 1048611, F4, 25) (dual of [1048611, 1048425, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(4228, 1048619, F4, 30) (dual of [1048619, 1048391, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(4229, 1048624, F4, 30) (dual of [1048624, 1048395, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(4241, 1048636, F4, 31) (dual of [1048636, 1048395, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(4194, 1048639, F4, 25) (dual of [1048639, 1048445, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(4191, 1048636, F4, 24) (dual of [1048636, 1048445, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(4240, 1048627, F4, 31) (dual of [1048627, 1048387, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(4190, 1048627, F4, 24) (dual of [1048627, 1048437, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(4182, 1048608, F4, 23) (dual of [1048608, 1048426, 24]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 16 | Linear OOA(4181, 524288, F4, 2, 25) (dual of [(524288, 2), 1048395, 26]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(4181, 349525, F4, 3, 25) (dual of [(349525, 3), 1048394, 26]-NRT-code) | [i] | ||
| 18 | Linear OOA(4181, 87381, F4, 25, 25) (dual of [(87381, 25), 2184344, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |