Information on Result #680481
Linear OA(471, 1024, F4, 19) (dual of [1024, 953, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(477, 1030, F4, 21) (dual of [1030, 953, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(471, 1029, F4, 19) (dual of [1029, 958, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(484, 1037, F4, 22) (dual of [1037, 953, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(490, 1041, F4, 23) (dual of [1041, 951, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(491, 1044, F4, 23) (dual of [1044, 953, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(475, 1041, F4, 19) (dual of [1041, 966, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(476, 1044, F4, 19) (dual of [1044, 968, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(478, 1051, F4, 19) (dual of [1051, 973, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(4108, 1058, F4, 26) (dual of [1058, 950, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(4109, 1062, F4, 26) (dual of [1062, 953, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(481, 1059, F4, 19) (dual of [1059, 978, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(4125, 1078, F4, 29) (dual of [1078, 953, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(4108, 1060, F4, 26) (dual of [1060, 952, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(4107, 1058, F4, 26) (dual of [1058, 951, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(4106, 1056, F4, 26) (dual of [1056, 950, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(4105, 1054, F4, 26) (dual of [1054, 949, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(4100, 1051, F4, 25) (dual of [1051, 951, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(499, 1049, F4, 25) (dual of [1049, 950, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(497, 1047, F4, 24) (dual of [1047, 950, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(498, 1047, F4, 25) (dual of [1047, 949, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(496, 1045, F4, 24) (dual of [1045, 949, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(4100, 1055, F4, 24) (dual of [1055, 955, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(489, 1038, F4, 23) (dual of [1038, 949, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(492, 1046, F4, 23) (dual of [1046, 954, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(483, 1032, F4, 22) (dual of [1032, 949, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(478, 1032, F4, 21) (dual of [1032, 954, 22]-code) | [i] | ✔ | |
| 27 | Linear OA(477, 1046, F4, 19) (dual of [1046, 969, 20]-code) | [i] | ✔ | |
| 28 | Linear OA(480, 1055, F4, 19) (dual of [1055, 975, 20]-code) | [i] | ✔ | |
| 29 | Linear OA(479, 1053, F4, 19) (dual of [1053, 974, 20]-code) | [i] | ✔ | |