Information on Result #612931
Linear OA(496, 1024, F4, 26) (dual of [1024, 928, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(4101, 1029, F4, 27) (dual of [1029, 928, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(496, 1029, F4, 26) (dual of [1029, 933, 27]-code) | [i] | ✔ | |
| 3 | Linear OA(4107, 1035, F4, 28) (dual of [1035, 928, 29]-code) | [i] | ✔ | |
| 4 | Linear OA(4109, 1037, F4, 29) (dual of [1037, 928, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(499, 1037, F4, 26) (dual of [1037, 938, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(4115, 1041, F4, 30) (dual of [1041, 926, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(4116, 1044, F4, 30) (dual of [1044, 928, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(4100, 1041, F4, 26) (dual of [1041, 941, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(4101, 1044, F4, 26) (dual of [1044, 943, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(4123, 1051, F4, 31) (dual of [1051, 928, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(4103, 1051, F4, 26) (dual of [1051, 948, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(4133, 1058, F4, 33) (dual of [1058, 925, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(4134, 1062, F4, 33) (dual of [1062, 928, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(4131, 1059, F4, 32) (dual of [1059, 928, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(4108, 1058, F4, 26) (dual of [1058, 950, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(4109, 1062, F4, 26) (dual of [1062, 953, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(4141, 1067, F4, 34) (dual of [1067, 926, 35]-code) | [i] | ✔ | |
| 18 | Linear OA(4142, 1070, F4, 34) (dual of [1070, 928, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(4111, 1067, F4, 26) (dual of [1067, 956, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(4112, 1070, F4, 26) (dual of [1070, 958, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(4149, 1077, F4, 35) (dual of [1077, 928, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(4114, 1077, F4, 26) (dual of [1077, 963, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(4158, 1086, F4, 37) (dual of [1086, 928, 38]-code) | [i] | ✔ | |
| 24 | Linear OA(4155, 1083, F4, 36) (dual of [1083, 928, 37]-code) | [i] | ✔ | |
| 25 | Linear OA(4166, 1093, F4, 38) (dual of [1093, 927, 39]-code) | [i] | ✔ | |
| 26 | Linear OA(4167, 1095, F4, 38) (dual of [1095, 928, 39]-code) | [i] | ✔ | |
| 27 | Linear OA(4130, 1055, F4, 32) (dual of [1055, 925, 33]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 28 | Linear OA(4122, 1046, F4, 31) (dual of [1046, 924, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(4125, 1055, F4, 31) (dual of [1055, 930, 32]-code) | [i] | ✔ | |
| 30 | Linear OA(4124, 1053, F4, 31) (dual of [1053, 929, 32]-code) | [i] | ✔ | |
| 31 | Linear OA(4117, 1046, F4, 30) (dual of [1046, 929, 31]-code) | [i] | ✔ | |
| 32 | Linear OA(4108, 1032, F4, 29) (dual of [1032, 924, 30]-code) | [i] | ✔ | |
| 33 | Linear OA(4108, 1037, F4, 28) (dual of [1037, 929, 29]-code) | [i] | ✔ | |
| 34 | Linear OA(498, 1032, F4, 26) (dual of [1032, 934, 27]-code) | [i] | ✔ | |
| 35 | Linear OA(4102, 1046, F4, 26) (dual of [1046, 944, 27]-code) | [i] | ✔ | |
| 36 | Linear OA(4108, 1060, F4, 26) (dual of [1060, 952, 27]-code) | [i] | ✔ | |
| 37 | Linear OA(4107, 1058, F4, 26) (dual of [1058, 951, 27]-code) | [i] | ✔ | |
| 38 | Linear OA(4106, 1056, F4, 26) (dual of [1056, 950, 27]-code) | [i] | ✔ | |
| 39 | Linear OA(4105, 1054, F4, 26) (dual of [1054, 949, 27]-code) | [i] | ✔ | |