Information on Result #612863
Linear OA(476, 1024, F4, 21) (dual of [1024, 948, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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(486, 1035, F4, 21) (dual of [1035, 949, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(490, 1053, F4, 21) (dual of [1053, 963, 22]-code) | [i] | ||
| 3 | Linear OA(483, 1056, F4, 21) (dual of [1056, 973, 22]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(484, 1075, F4, 21) (dual of [1075, 991, 22]-code) | [i] | ||
| 5 | Linear OA(485, 1102, F4, 21) (dual of [1102, 1017, 22]-code) | [i] | ||
| 6 | Linear OA(486, 1141, F4, 21) (dual of [1141, 1055, 22]-code) | [i] | ||
| 7 | Linear OA(487, 1194, F4, 21) (dual of [1194, 1107, 22]-code) | [i] | ||
| 8 | Linear OA(488, 1260, F4, 21) (dual of [1260, 1172, 22]-code) | [i] | ||
| 9 | Linear OA(489, 1340, F4, 21) (dual of [1340, 1251, 22]-code) | [i] | ||
| 10 | Linear OA(490, 1430, F4, 21) (dual of [1430, 1340, 22]-code) | [i] | ||
| 11 | Linear OA(481, 1029, F4, 22) (dual of [1029, 948, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(477, 1030, F4, 21) (dual of [1030, 953, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(487, 1035, F4, 23) (dual of [1035, 948, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(477, 1035, F4, 20) (dual of [1035, 958, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(479, 1037, F4, 21) (dual of [1037, 958, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(495, 1041, F4, 25) (dual of [1041, 946, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(496, 1044, F4, 25) (dual of [1044, 948, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(494, 1042, F4, 24) (dual of [1042, 948, 25]-code) | [i] | ✔ | |
| 19 | Linear OA(480, 1041, F4, 21) (dual of [1041, 961, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(481, 1044, F4, 21) (dual of [1044, 963, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(479, 1042, F4, 20) (dual of [1042, 963, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(4103, 1051, F4, 26) (dual of [1051, 948, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(486, 1054, F4, 21) (dual of [1054, 968, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(483, 1051, F4, 20) (dual of [1051, 968, 21]-code) | [i] | ✔ | |
| 25 | Linear OA(4111, 1059, F4, 27) (dual of [1059, 948, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(488, 1058, F4, 21) (dual of [1058, 970, 22]-code) | [i] | ✔ | |
| 27 | Linear OA(489, 1062, F4, 21) (dual of [1062, 973, 22]-code) | [i] | ✔ | |
| 28 | Linear OA(486, 1059, F4, 20) (dual of [1059, 973, 21]-code) | [i] | ✔ | |
| 29 | Linear OA(4121, 1067, F4, 29) (dual of [1067, 946, 30]-code) | [i] | ✔ | |
| 30 | Linear OA(4122, 1070, F4, 29) (dual of [1070, 948, 30]-code) | [i] | ✔ | |
| 31 | Linear OA(4119, 1067, F4, 28) (dual of [1067, 948, 29]-code) | [i] | ✔ | |
| 32 | Linear OA(489, 1067, F4, 20) (dual of [1067, 978, 21]-code) | [i] | ✔ | |
| 33 | Linear OA(4129, 1077, F4, 30) (dual of [1077, 948, 31]-code) | [i] | ✔ | |
| 34 | Linear OA(4135, 1083, F4, 31) (dual of [1083, 948, 32]-code) | [i] | ✔ | |
| 35 | Linear OA(4143, 1088, F4, 32) (dual of [1088, 945, 33]-code) | [i] | ✔ | |
| 36 | Linear OA(4143, 1091, F4, 32) (dual of [1091, 948, 33]-code) | [i] | ✔ | |
| 37 | Linear OA(4110, 1055, F4, 27) (dual of [1055, 945, 28]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 38 | Linear OA(4109, 1053, F4, 27) (dual of [1053, 944, 28]-code) | [i] | ✔ | |
| 39 | Linear OA(4102, 1046, F4, 26) (dual of [1046, 944, 27]-code) | [i] | ✔ | |
| 40 | Linear OA(4108, 1060, F4, 26) (dual of [1060, 952, 27]-code) | [i] | ✔ | |
| 41 | Linear OA(4107, 1058, F4, 26) (dual of [1058, 951, 27]-code) | [i] | ✔ | |
| 42 | Linear OA(4106, 1056, F4, 26) (dual of [1056, 950, 27]-code) | [i] | ✔ | |
| 43 | Linear OA(4105, 1054, F4, 26) (dual of [1054, 949, 27]-code) | [i] | ✔ | |
| 44 | Linear OA(493, 1037, F4, 24) (dual of [1037, 944, 25]-code) | [i] | ✔ | |
| 45 | Linear OA(4100, 1051, F4, 25) (dual of [1051, 951, 26]-code) | [i] | ✔ | |
| 46 | Linear OA(499, 1049, F4, 25) (dual of [1049, 950, 26]-code) | [i] | ✔ | |
| 47 | Linear OA(497, 1047, F4, 24) (dual of [1047, 950, 25]-code) | [i] | ✔ | |
| 48 | Linear OA(498, 1047, F4, 25) (dual of [1047, 949, 26]-code) | [i] | ✔ | |
| 49 | Linear OA(496, 1045, F4, 24) (dual of [1045, 949, 25]-code) | [i] | ✔ | |
| 50 | Linear OA(489, 1038, F4, 23) (dual of [1038, 949, 24]-code) | [i] | ✔ | |
| 51 | Linear OA(483, 1032, F4, 22) (dual of [1032, 949, 23]-code) | [i] | ✔ | |
| 52 | Linear OA(478, 1032, F4, 21) (dual of [1032, 954, 22]-code) | [i] | ✔ | |
| 53 | Linear OA(478, 1037, F4, 20) (dual of [1037, 959, 21]-code) | [i] | ✔ | |
| 54 | Linear OA(485, 1051, F4, 21) (dual of [1051, 966, 22]-code) | [i] | ✔ | |
| 55 | Linear OA(484, 1049, F4, 21) (dual of [1049, 965, 22]-code) | [i] | ✔ | |
| 56 | Linear OA(482, 1047, F4, 20) (dual of [1047, 965, 21]-code) | [i] | ✔ | |
| 57 | Linear OA(483, 1047, F4, 21) (dual of [1047, 964, 22]-code) | [i] | ✔ | |
| 58 | Linear OA(481, 1045, F4, 20) (dual of [1045, 964, 21]-code) | [i] | ✔ | |
| 59 | Linear OA(485, 1055, F4, 20) (dual of [1055, 970, 21]-code) | [i] | ✔ | |
| 60 | Linear OA(487, 1056, F4, 21) (dual of [1056, 969, 22]-code) | [i] | ✔ | |
| 61 | Linear OA(484, 1053, F4, 20) (dual of [1053, 969, 21]-code) | [i] | ✔ | |
| 62 | Linear OOA(476, 512, F4, 2, 21) (dual of [(512, 2), 948, 22]-NRT-code) | [i] | OOA Folding | |