Information on Result #612790
Linear OA(466, 1024, F4, 18) (dual of [1024, 958, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, 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(475, 1034, F4, 18) (dual of [1034, 959, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(471, 1029, F4, 19) (dual of [1029, 958, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(466, 1029, F4, 18) (dual of [1029, 963, 19]-code) | [i] | ✔ | |
| 4 | Linear OA(477, 1035, F4, 20) (dual of [1035, 958, 21]-code) | [i] | ✔ | |
| 5 | Linear OA(479, 1037, F4, 21) (dual of [1037, 958, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(469, 1037, F4, 18) (dual of [1037, 968, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(485, 1041, F4, 22) (dual of [1041, 956, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(486, 1044, F4, 22) (dual of [1044, 958, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(470, 1041, F4, 18) (dual of [1041, 971, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(471, 1044, F4, 18) (dual of [1044, 973, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(493, 1051, F4, 23) (dual of [1051, 958, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(473, 1051, F4, 18) (dual of [1051, 978, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(4103, 1058, F4, 25) (dual of [1058, 955, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(4104, 1062, F4, 25) (dual of [1062, 958, 26]-code) | [i] | ✔ | |
| 15 | Linear OA(4101, 1059, F4, 24) (dual of [1059, 958, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(478, 1058, F4, 18) (dual of [1058, 980, 19]-code) | [i] | ✔ | |
| 17 | Linear OA(4111, 1067, F4, 26) (dual of [1067, 956, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(4112, 1070, F4, 26) (dual of [1070, 958, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(4119, 1077, F4, 27) (dual of [1077, 958, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(4125, 1083, F4, 28) (dual of [1083, 958, 29]-code) | [i] | ✔ | |
| 21 | Linear OA(4100, 1055, F4, 24) (dual of [1055, 955, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(492, 1046, F4, 23) (dual of [1046, 954, 24]-code) | [i] | ✔ | |
| 23 | Linear OA(495, 1055, F4, 23) (dual of [1055, 960, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(494, 1053, F4, 23) (dual of [1053, 959, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(487, 1046, F4, 22) (dual of [1046, 959, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(478, 1032, F4, 21) (dual of [1032, 954, 22]-code) | [i] | ✔ | |
| 27 | Linear OA(478, 1037, F4, 20) (dual of [1037, 959, 21]-code) | [i] | ✔ | |
| 28 | Linear OA(468, 1032, F4, 18) (dual of [1032, 964, 19]-code) | [i] | ✔ | |
| 29 | Linear OA(472, 1046, F4, 18) (dual of [1046, 974, 19]-code) | [i] | ✔ | |
| 30 | Linear OA(478, 1060, F4, 18) (dual of [1060, 982, 19]-code) | [i] | ✔ | |
| 31 | Linear OA(477, 1058, F4, 18) (dual of [1058, 981, 19]-code) | [i] | ✔ | |
| 32 | Linear OA(476, 1056, F4, 18) (dual of [1056, 980, 19]-code) | [i] | ✔ | |
| 33 | Linear OA(475, 1054, F4, 18) (dual of [1054, 979, 19]-code) | [i] | ✔ | |