Information on Result #612894
Linear OA(4171, 1048576, F4, 23) (dual of [1048576, 1048405, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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, 1048588, F4, 23) (dual of [1048588, 1048406, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4184, 1048593, F4, 23) (dual of [1048593, 1048409, 24]-code) | [i] | ||
| 3 | Linear OA(4186, 1048606, F4, 23) (dual of [1048606, 1048420, 24]-code) | [i] | ||
| 4 | Linear OA(4186, 1048592, F4, 23) (dual of [1048592, 1048406, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(4182, 1048587, F4, 25) (dual of [1048587, 1048405, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(4171, 1048586, F4, 23) (dual of [1048586, 1048415, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(4194, 1048597, F4, 26) (dual of [1048597, 1048403, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(4195, 1048600, F4, 26) (dual of [1048600, 1048405, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(4172, 1048597, F4, 23) (dual of [1048597, 1048425, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(4206, 1048611, F4, 27) (dual of [1048611, 1048405, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(4176, 1048611, F4, 23) (dual of [1048611, 1048435, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(4221, 1048626, F4, 29) (dual of [1048626, 1048405, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(4218, 1048619, F4, 28) (dual of [1048619, 1048401, 29]-code) | [i] | ✔ | |
| 14 | Linear OA(4219, 1048624, F4, 28) (dual of [1048624, 1048405, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(4178, 1048619, F4, 23) (dual of [1048619, 1048441, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(4179, 1048624, F4, 23) (dual of [1048624, 1048445, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(4234, 1048639, F4, 30) (dual of [1048639, 1048405, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(4181, 1048636, F4, 23) (dual of [1048636, 1048455, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(4248, 1048644, F4, 31) (dual of [1048644, 1048396, 32]-code) | [i] | ✔ | |
| 20 | Linear OA(4249, 1048654, F4, 31) (dual of [1048654, 1048405, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(4247, 1048645, F4, 31) (dual of [1048645, 1048398, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(4248, 1048648, F4, 31) (dual of [1048648, 1048400, 32]-code) | [i] | ✔ | |
| 23 | Linear OA(4187, 1048645, F4, 23) (dual of [1048645, 1048458, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(4220, 1048625, F4, 29) (dual of [1048625, 1048405, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(4180, 1048627, F4, 23) (dual of [1048627, 1048447, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(4246, 1048651, F4, 31) (dual of [1048651, 1048405, 32]-code) | [i] | ✔ | |
| 27 | Linear OA(4186, 1048651, F4, 23) (dual of [1048651, 1048465, 24]-code) | [i] | ✔ | |
| 28 | Linear OA(4260, 1048663, F4, 32) (dual of [1048663, 1048403, 33]-code) | [i] | ✔ | |
| 29 | Linear OOA(4171, 95325, F4, 23, 23) (dual of [(95325, 23), 2192304, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |