Information on Result #707889
Linear OA(475, 1023, F4, 20) (dual of [1023, 948, 21]-code), using 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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(475, 739, F4, 2, 20) (dual of [(739, 2), 1403, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(475, 739, F4, 3, 20) (dual of [(739, 3), 2142, 21]-NRT-code) | [i] | ||
| 3 | Digital (55, 75, 739)-net over F4 | [i] | ||
| 4 | Linear OA(480, 1048, F4, 20) (dual of [1048, 968, 21]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(481, 1070, F4, 20) (dual of [1070, 989, 21]-code) | [i] | ||
| 6 | Linear OA(482, 1106, F4, 20) (dual of [1106, 1024, 21]-code) | [i] | ||
| 7 | Linear OA(483, 1160, F4, 20) (dual of [1160, 1077, 21]-code) | [i] | ||
| 8 | Linear OA(484, 1232, F4, 20) (dual of [1232, 1148, 21]-code) | [i] | ||
| 9 | Linear OA(485, 1318, F4, 20) (dual of [1318, 1233, 21]-code) | [i] | ||
| 10 | Linear OA(486, 1414, F4, 20) (dual of [1414, 1328, 21]-code) | [i] | ||
| 11 | Linear OA(483, 1036, F4, 22) (dual of [1036, 953, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 12 | Linear OA(4103, 1066, F4, 25) (dual of [1066, 963, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(4102, 1064, F4, 25) (dual of [1064, 962, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(4111, 1074, F4, 26) (dual of [1074, 963, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(4110, 1067, F4, 26) (dual of [1067, 957, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(4101, 1059, F4, 25) (dual of [1059, 958, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(4100, 1057, F4, 25) (dual of [1057, 957, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(4119, 1079, F4, 27) (dual of [1079, 960, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(4118, 1077, F4, 27) (dual of [1077, 959, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(4109, 1067, F4, 26) (dual of [1067, 958, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(499, 1052, F4, 25) (dual of [1052, 953, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(497, 1050, F4, 24) (dual of [1050, 953, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(498, 1050, F4, 25) (dual of [1050, 952, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(496, 1046, F4, 24) (dual of [1046, 950, 25]-code) | [i] | ✔ | |
| 25 | Linear OA(4117, 1072, F4, 27) (dual of [1072, 955, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(4116, 1070, F4, 27) (dual of [1070, 954, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(4107, 1060, F4, 26) (dual of [1060, 953, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(4115, 1065, F4, 27) (dual of [1065, 950, 28]-code) | [i] | ✔ | |
| 29 | Linear OA(4114, 1063, F4, 27) (dual of [1063, 949, 28]-code) | [i] | ✔ | |
| 30 | Linear OA(4102, 1049, F4, 26) (dual of [1049, 947, 27]-code) | [i] | ✔ | |
| 31 | Linear OA(4118, 1062, F4, 28) (dual of [1062, 944, 29]-code) | [i] | ✔ | |
| 32 | Linear OA(493, 1041, F4, 24) (dual of [1041, 948, 25]-code) | [i] | ✔ | |
| 33 | Linear OA(4109, 1057, F4, 27) (dual of [1057, 948, 28]-code) | [i] | ✔ | |
| 34 | Linear OA(4117, 1065, F4, 28) (dual of [1065, 948, 29]-code) | [i] | ✔ | |
| 35 | Linear OA(4118, 1066, F4, 29) (dual of [1066, 948, 30]-code) | [i] | ✔ | |
| 36 | Linear OA(4117, 1064, F4, 29) (dual of [1064, 947, 30]-code) | [i] | ✔ | |
| 37 | Linear OA(4126, 1074, F4, 30) (dual of [1074, 948, 31]-code) | [i] | ✔ | |
| 38 | Linear OA(4125, 1067, F4, 30) (dual of [1067, 942, 31]-code) | [i] | ✔ | |
| 39 | Linear OA(4134, 1079, F4, 31) (dual of [1079, 945, 32]-code) | [i] | ✔ | |
| 40 | Linear OA(4133, 1077, F4, 31) (dual of [1077, 944, 32]-code) | [i] | ✔ | |
| 41 | Linear OA(4125, 1073, F4, 30) (dual of [1073, 948, 31]-code) | [i] | ✔ | |
| 42 | Linear OA(4133, 1081, F4, 31) (dual of [1081, 948, 32]-code) | [i] | ✔ | |
| 43 | Linear OA(4141, 1086, F4, 32) (dual of [1086, 945, 33]-code) | [i] | ✔ | |
| 44 | Linear OA(4140, 1084, F4, 32) (dual of [1084, 944, 33]-code) | [i] | ✔ | |
| 45 | Linear OOA(475, 511, F4, 2, 20) (dual of [(511, 2), 947, 21]-NRT-code) | [i] | OOA Folding | |
| 46 | Linear OOA(475, 341, F4, 3, 20) (dual of [(341, 3), 948, 21]-NRT-code) | [i] | ||