Information on Result #612723
Linear OA(4111, 4194304, F4, 14) (dual of [4194304, 4194193, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(4118, 4194312, F4, 14) (dual of [4194312, 4194194, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4119, 4194314, F4, 14) (dual of [4194314, 4194195, 15]-code) | [i] | ||
| 3 | Linear OA(4120, 4194321, F4, 14) (dual of [4194321, 4194201, 15]-code) | [i] | ||
| 4 | Linear OA(4120, 4194314, F4, 14) (dual of [4194314, 4194194, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(4122, 4194315, F4, 15) (dual of [4194315, 4194193, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(4111, 4194315, F4, 14) (dual of [4194315, 4194204, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(4134, 4194327, F4, 16) (dual of [4194327, 4194193, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(4136, 4194325, F4, 17) (dual of [4194325, 4194189, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(4137, 4194330, F4, 17) (dual of [4194330, 4194193, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(4114, 4194325, F4, 14) (dual of [4194325, 4194211, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(4115, 4194330, F4, 14) (dual of [4194330, 4194215, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(4149, 4194342, F4, 18) (dual of [4194342, 4194193, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(4116, 4194342, F4, 14) (dual of [4194342, 4194226, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(4162, 4194347, F4, 19) (dual of [4194347, 4194185, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(4163, 4194356, F4, 19) (dual of [4194356, 4194193, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(4118, 4194347, F4, 14) (dual of [4194347, 4194229, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(4119, 4194356, F4, 14) (dual of [4194356, 4194237, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(4179, 4194368, F4, 21) (dual of [4194368, 4194189, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(4176, 4194368, F4, 20) (dual of [4194368, 4194192, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(4178, 4194371, F4, 20) (dual of [4194371, 4194193, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(4179, 4194372, F4, 21) (dual of [4194372, 4194193, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(4177, 4194370, F4, 20) (dual of [4194370, 4194193, 21]-code) | [i] | ✔ | |
| 23 | Linear OA(4192, 4194385, F4, 22) (dual of [4194385, 4194193, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(4134, 4194328, F4, 16) (dual of [4194328, 4194194, 17]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |