Information on Result #613005
Linear OA(4231, 1048576, F4, 31) (dual of [1048576, 1048345, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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(4246, 1048592, F4, 31) (dual of [1048592, 1048346, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4249, 1048597, F4, 31) (dual of [1048597, 1048348, 32]-code) | [i] | ||
| 3 | Linear OA(4250, 1048599, F4, 31) (dual of [1048599, 1048349, 32]-code) | [i] | ||
| 4 | Linear OA(4252, 1048603, F4, 31) (dual of [1048603, 1048351, 32]-code) | [i] | ||
| 5 | Linear OA(4252, 1048598, F4, 31) (dual of [1048598, 1048346, 32]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(4242, 1048587, F4, 33) (dual of [1048587, 1048345, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(4231, 1048586, F4, 31) (dual of [1048586, 1048355, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(4254, 1048597, F4, 34) (dual of [1048597, 1048343, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(4255, 1048600, F4, 34) (dual of [1048600, 1048345, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(4232, 1048597, F4, 31) (dual of [1048597, 1048365, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(4236, 1048611, F4, 31) (dual of [1048611, 1048375, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(4238, 1048619, F4, 31) (dual of [1048619, 1048381, 32]-code) | [i] | ✔ | |
| 13 | Linear OA(4239, 1048624, F4, 31) (dual of [1048624, 1048385, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(4241, 1048636, F4, 31) (dual of [1048636, 1048395, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(4248, 1048644, F4, 31) (dual of [1048644, 1048396, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(4249, 1048654, F4, 31) (dual of [1048654, 1048405, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(4252, 1048660, F4, 31) (dual of [1048660, 1048408, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(4247, 1048645, F4, 31) (dual of [1048645, 1048398, 32]-code) | [i] | ✔ | |
| 19 | Linear OA(4248, 1048648, F4, 31) (dual of [1048648, 1048400, 32]-code) | [i] | ✔ | |
| 20 | Linear OA(4253, 1048665, F4, 31) (dual of [1048665, 1048412, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(4253, 1048667, F4, 31) (dual of [1048667, 1048414, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(4240, 1048627, F4, 31) (dual of [1048627, 1048387, 32]-code) | [i] | ✔ | |
| 23 | Linear OA(4246, 1048651, F4, 31) (dual of [1048651, 1048405, 32]-code) | [i] | ✔ | |
| 24 | Linear OA(4250, 1048663, F4, 31) (dual of [1048663, 1048413, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(4251, 1048666, F4, 31) (dual of [1048666, 1048415, 32]-code) | [i] | ✔ | |
| 26 | Linear OOA(4231, 69905, F4, 31, 31) (dual of [(69905, 31), 2166824, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |