Information on Result #612957
Linear OA(4201, 1048577, F4, 27) (dual of [1048577, 1048376, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound)
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(4217, 1048596, F4, 27) (dual of [1048596, 1048379, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4218, 1048598, F4, 27) (dual of [1048598, 1048380, 28]-code) | [i] | ||
| 3 | Linear OA(4220, 1048602, F4, 27) (dual of [1048602, 1048382, 28]-code) | [i] | ||
| 4 | Linear OA(4213, 1048590, F4, 27) (dual of [1048590, 1048377, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4222, 1048598, F4, 29) (dual of [1048598, 1048376, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(4202, 1048598, F4, 27) (dual of [1048598, 1048396, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(4251, 1048627, F4, 33) (dual of [1048627, 1048376, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(4248, 1048620, F4, 32) (dual of [1048620, 1048372, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(4249, 1048625, F4, 32) (dual of [1048625, 1048376, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(4246, 1048618, F4, 31) (dual of [1048618, 1048372, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(4247, 1048623, F4, 31) (dual of [1048623, 1048376, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(4211, 1048627, F4, 27) (dual of [1048627, 1048416, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(4208, 1048620, F4, 26) (dual of [1048620, 1048412, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(4209, 1048625, F4, 26) (dual of [1048625, 1048416, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(4217, 1048641, F4, 27) (dual of [1048641, 1048424, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(4218, 1048645, F4, 27) (dual of [1048645, 1048427, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(4219, 1048655, F4, 27) (dual of [1048655, 1048436, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(4217, 1048646, F4, 27) (dual of [1048646, 1048429, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(4218, 1048649, F4, 27) (dual of [1048649, 1048431, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(4250, 1048626, F4, 33) (dual of [1048626, 1048376, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(4210, 1048626, F4, 27) (dual of [1048626, 1048416, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(4215, 1048642, F4, 27) (dual of [1048642, 1048427, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(4216, 1048652, F4, 27) (dual of [1048652, 1048436, 28]-code) | [i] | ✔ | |