Information on Result #612795
Linear OA(4131, 1048576, F4, 18) (dual of [1048576, 1048445, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18
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(4140, 1048586, F4, 18) (dual of [1048586, 1048446, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4142, 1048591, F4, 18) (dual of [1048591, 1048449, 19]-code) | [i] | ||
| 3 | Linear OA(4141, 1048586, F4, 19) (dual of [1048586, 1048445, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(4131, 1048586, F4, 18) (dual of [1048586, 1048455, 19]-code) | [i] | ✔ | |
| 5 | Linear OA(4152, 1048597, F4, 20) (dual of [1048597, 1048445, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(4154, 1048597, F4, 21) (dual of [1048597, 1048443, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(4155, 1048600, F4, 21) (dual of [1048600, 1048445, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(4134, 1048597, F4, 18) (dual of [1048597, 1048463, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(4135, 1048600, F4, 18) (dual of [1048600, 1048465, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(4166, 1048611, F4, 22) (dual of [1048611, 1048445, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(4136, 1048611, F4, 18) (dual of [1048611, 1048475, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(4178, 1048619, F4, 23) (dual of [1048619, 1048441, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(4179, 1048624, F4, 23) (dual of [1048624, 1048445, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(4138, 1048619, F4, 18) (dual of [1048619, 1048481, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(4139, 1048624, F4, 18) (dual of [1048624, 1048485, 19]-code) | [i] | ✔ | |
| 16 | Linear OA(4194, 1048639, F4, 25) (dual of [1048639, 1048445, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(4191, 1048636, F4, 24) (dual of [1048636, 1048445, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(4208, 1048644, F4, 26) (dual of [1048644, 1048436, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(4209, 1048654, F4, 26) (dual of [1048654, 1048445, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(4207, 1048645, F4, 26) (dual of [1048645, 1048438, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(4208, 1048648, F4, 26) (dual of [1048648, 1048440, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(4190, 1048627, F4, 24) (dual of [1048627, 1048437, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(4205, 1048641, F4, 26) (dual of [1048641, 1048436, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(4206, 1048651, F4, 26) (dual of [1048651, 1048445, 27]-code) | [i] | ✔ | |
| 25 | Linear OA(4220, 1048663, F4, 27) (dual of [1048663, 1048443, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(4152, 1048598, F4, 20) (dual of [1048598, 1048446, 21]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |