Information on Result #612874
Linear OA(481, 1024, F4, 22) (dual of [1024, 943, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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(496, 1054, F4, 22) (dual of [1054, 958, 23]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(486, 1029, F4, 23) (dual of [1029, 943, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(481, 1029, F4, 22) (dual of [1029, 948, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(492, 1035, F4, 24) (dual of [1035, 943, 25]-code) | [i] | ✔ | |
| 5 | Linear OA(494, 1037, F4, 25) (dual of [1037, 943, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(484, 1037, F4, 22) (dual of [1037, 953, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(4100, 1041, F4, 26) (dual of [1041, 941, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(4101, 1044, F4, 26) (dual of [1044, 943, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(485, 1041, F4, 22) (dual of [1041, 956, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(486, 1044, F4, 22) (dual of [1044, 958, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(4108, 1051, F4, 27) (dual of [1051, 943, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(488, 1051, F4, 22) (dual of [1051, 963, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(4118, 1058, F4, 29) (dual of [1058, 940, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(4119, 1062, F4, 29) (dual of [1062, 943, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(4116, 1059, F4, 28) (dual of [1059, 943, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(493, 1058, F4, 22) (dual of [1058, 965, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(494, 1062, F4, 22) (dual of [1062, 968, 23]-code) | [i] | ✔ | |
| 18 | Linear OA(4126, 1067, F4, 30) (dual of [1067, 941, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(4127, 1070, F4, 30) (dual of [1070, 943, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(496, 1067, F4, 22) (dual of [1067, 971, 23]-code) | [i] | ✔ | |
| 21 | Linear OA(4134, 1077, F4, 31) (dual of [1077, 943, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(4143, 1086, F4, 33) (dual of [1086, 943, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(4140, 1083, F4, 32) (dual of [1083, 943, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(4115, 1055, F4, 28) (dual of [1055, 940, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 25 | Linear OA(4117, 1056, F4, 29) (dual of [1056, 939, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(4114, 1053, F4, 28) (dual of [1053, 939, 29]-code) | [i] | ✔ | |
| 27 | Linear OA(4107, 1046, F4, 27) (dual of [1046, 939, 28]-code) | [i] | ✔ | |
| 28 | Linear OA(4110, 1055, F4, 27) (dual of [1055, 945, 28]-code) | [i] | ✔ | |
| 29 | Linear OA(4109, 1053, F4, 27) (dual of [1053, 944, 28]-code) | [i] | ✔ | |
| 30 | Linear OA(4102, 1046, F4, 26) (dual of [1046, 944, 27]-code) | [i] | ✔ | |
| 31 | Linear OA(493, 1032, F4, 25) (dual of [1032, 939, 26]-code) | [i] | ✔ | |
| 32 | Linear OA(493, 1037, F4, 24) (dual of [1037, 944, 25]-code) | [i] | ✔ | |
| 33 | Linear OA(483, 1032, F4, 22) (dual of [1032, 949, 23]-code) | [i] | ✔ | |
| 34 | Linear OA(487, 1046, F4, 22) (dual of [1046, 959, 23]-code) | [i] | ✔ | |
| 35 | Linear OA(493, 1060, F4, 22) (dual of [1060, 967, 23]-code) | [i] | ✔ | |
| 36 | Linear OA(492, 1058, F4, 22) (dual of [1058, 966, 23]-code) | [i] | ✔ | |
| 37 | Linear OA(491, 1056, F4, 22) (dual of [1056, 965, 23]-code) | [i] | ✔ | |
| 38 | Linear OA(490, 1054, F4, 22) (dual of [1054, 964, 23]-code) | [i] | ✔ | |