Information on Result #612819
Linear OA(4141, 1048577, F4, 19) (dual of [1048577, 1048436, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(4152, 1048592, F4, 19) (dual of [1048592, 1048440, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4154, 1048605, F4, 19) (dual of [1048605, 1048451, 20]-code) | [i] | ||
| 3 | Linear OA(4149, 1048586, F4, 19) (dual of [1048586, 1048437, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(4162, 1048598, F4, 21) (dual of [1048598, 1048436, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(4142, 1048598, F4, 19) (dual of [1048598, 1048456, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(4191, 1048627, F4, 25) (dual of [1048627, 1048436, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(4188, 1048620, F4, 24) (dual of [1048620, 1048432, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(4189, 1048625, F4, 24) (dual of [1048625, 1048436, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(4186, 1048618, F4, 23) (dual of [1048618, 1048432, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(4187, 1048623, F4, 23) (dual of [1048623, 1048436, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(4151, 1048627, F4, 19) (dual of [1048627, 1048476, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(4217, 1048641, F4, 27) (dual of [1048641, 1048424, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(4218, 1048645, F4, 27) (dual of [1048645, 1048427, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(4219, 1048655, F4, 27) (dual of [1048655, 1048436, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(4217, 1048646, F4, 27) (dual of [1048646, 1048429, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(4218, 1048649, F4, 27) (dual of [1048649, 1048431, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(4190, 1048626, F4, 25) (dual of [1048626, 1048436, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(4150, 1048626, F4, 19) (dual of [1048626, 1048476, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(4215, 1048642, F4, 27) (dual of [1048642, 1048427, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(4216, 1048652, F4, 27) (dual of [1048652, 1048436, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(4162, 1048599, F4, 21) (dual of [1048599, 1048437, 22]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 22 | Linear OA(4142, 1048599, F4, 19) (dual of [1048599, 1048457, 20]-code) | [i] | ✔ | |