Information on Result #612738
Linear OA(4122, 4194304, F4, 15) (dual of [4194304, 4194182, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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(4129, 4194312, F4, 15) (dual of [4194312, 4194183, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4130, 4194314, F4, 15) (dual of [4194314, 4194184, 16]-code) | [i] | ||
| 3 | Linear OA(4131, 4194321, F4, 15) (dual of [4194321, 4194190, 16]-code) | [i] | ||
| 4 | Linear OA(4132, 4194324, F4, 15) (dual of [4194324, 4194192, 16]-code) | [i] | ||
| 5 | Linear OA(4134, 4194316, F4, 17) (dual of [4194316, 4194182, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(4122, 4194315, F4, 15) (dual of [4194315, 4194193, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(4147, 4194325, F4, 18) (dual of [4194325, 4194178, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(4148, 4194330, F4, 18) (dual of [4194330, 4194182, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(4123, 4194327, F4, 15) (dual of [4194327, 4194204, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(4160, 4194342, F4, 19) (dual of [4194342, 4194182, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(4127, 4194342, F4, 15) (dual of [4194342, 4194215, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(4176, 4194358, F4, 21) (dual of [4194358, 4194182, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(4173, 4194347, F4, 20) (dual of [4194347, 4194174, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(4174, 4194356, F4, 20) (dual of [4194356, 4194182, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(4129, 4194347, F4, 15) (dual of [4194347, 4194218, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(4130, 4194356, F4, 15) (dual of [4194356, 4194226, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(4190, 4194368, F4, 22) (dual of [4194368, 4194178, 23]-code) | [i] | ✔ | |
| 18 | Linear OA(4132, 4194368, F4, 15) (dual of [4194368, 4194236, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(4190, 4194372, F4, 22) (dual of [4194372, 4194182, 23]-code) | [i] | ✔ | |
| 20 | Linear OA(4175, 4194355, F4, 21) (dual of [4194355, 4194180, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(4203, 4194385, F4, 23) (dual of [4194385, 4194182, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(4123, 4194328, F4, 15) (dual of [4194328, 4194205, 16]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |