Information on Result #612880
Linear OA(4177, 4194304, F4, 22) (dual of [4194304, 4194127, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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(4188, 4194316, F4, 22) (dual of [4194316, 4194128, 23]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4190, 4194321, F4, 22) (dual of [4194321, 4194131, 23]-code) | [i] | ||
| 3 | Linear OA(4192, 4194334, F4, 22) (dual of [4194334, 4194142, 23]-code) | [i] | ||
| 4 | Linear OA(4192, 4194320, F4, 22) (dual of [4194320, 4194128, 23]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(4188, 4194315, F4, 23) (dual of [4194315, 4194127, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(4177, 4194315, F4, 22) (dual of [4194315, 4194138, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(4200, 4194327, F4, 24) (dual of [4194327, 4194127, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(4202, 4194325, F4, 25) (dual of [4194325, 4194123, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(4203, 4194330, F4, 25) (dual of [4194330, 4194127, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(4180, 4194325, F4, 22) (dual of [4194325, 4194145, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(4181, 4194330, F4, 22) (dual of [4194330, 4194149, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(4215, 4194342, F4, 26) (dual of [4194342, 4194127, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(4182, 4194342, F4, 22) (dual of [4194342, 4194160, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(4228, 4194347, F4, 27) (dual of [4194347, 4194119, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(4229, 4194356, F4, 27) (dual of [4194356, 4194127, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(4184, 4194347, F4, 22) (dual of [4194347, 4194163, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(4185, 4194356, F4, 22) (dual of [4194356, 4194171, 23]-code) | [i] | ✔ | |
| 18 | Linear OA(4245, 4194368, F4, 29) (dual of [4194368, 4194123, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(4248, 4194375, F4, 29) (dual of [4194375, 4194127, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(4242, 4194368, F4, 28) (dual of [4194368, 4194126, 29]-code) | [i] | ✔ | |
| 21 | Linear OA(4244, 4194371, F4, 28) (dual of [4194371, 4194127, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(4190, 4194368, F4, 22) (dual of [4194368, 4194178, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(4245, 4194372, F4, 29) (dual of [4194372, 4194127, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(4243, 4194370, F4, 28) (dual of [4194370, 4194127, 29]-code) | [i] | ✔ | |
| 25 | Linear OA(4190, 4194372, F4, 22) (dual of [4194372, 4194182, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(4258, 4194385, F4, 30) (dual of [4194385, 4194127, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(4192, 4194385, F4, 22) (dual of [4194385, 4194193, 23]-code) | [i] | ✔ | |