Information on Result #707326
Linear OA(486, 1023, F4, 23) (dual of [1023, 937, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- 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(486, 776, F4, 2, 23) (dual of [(776, 2), 1466, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(486, 776, F4, 3, 23) (dual of [(776, 3), 2242, 24]-NRT-code) | [i] | ||
| 3 | Digital (63, 86, 776)-net over F4 | [i] | ||
| 4 | Linear OA(4156, 1092, F4, 35) (dual of [1092, 936, 36]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4120, 1077, F4, 28) (dual of [1077, 957, 29]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(4119, 1071, F4, 28) (dual of [1071, 952, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(4110, 1060, F4, 27) (dual of [1060, 950, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(491, 1033, F4, 24) (dual of [1033, 942, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(4118, 1070, F4, 28) (dual of [1070, 952, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(4107, 1054, F4, 27) (dual of [1054, 947, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(4106, 1051, F4, 27) (dual of [1051, 945, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(4114, 1061, F4, 28) (dual of [1061, 947, 29]-code) | [i] | ✔ | |
| 13 | Linear OA(4113, 1055, F4, 28) (dual of [1055, 942, 29]-code) | [i] | ✔ | |
| 14 | Linear OA(4105, 1045, F4, 27) (dual of [1045, 940, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(4112, 1049, F4, 28) (dual of [1049, 937, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(4103, 1040, F4, 27) (dual of [1040, 937, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(4112, 1049, F4, 29) (dual of [1049, 937, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(4110, 1047, F4, 28) (dual of [1047, 937, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(4111, 1046, F4, 29) (dual of [1046, 935, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(4119, 1056, F4, 30) (dual of [1056, 937, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(4127, 1063, F4, 31) (dual of [1063, 936, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(4118, 1053, F4, 30) (dual of [1053, 935, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(4126, 1063, F4, 31) (dual of [1063, 937, 32]-code) | [i] | ✔ | |
| 24 | Linear OA(4125, 1057, F4, 31) (dual of [1057, 932, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(4134, 1070, F4, 32) (dual of [1070, 936, 33]-code) | [i] | ✔ | |
| 26 | Linear OA(4125, 1060, F4, 31) (dual of [1060, 935, 32]-code) | [i] | ✔ | |
| 27 | Linear OA(4133, 1070, F4, 32) (dual of [1070, 937, 33]-code) | [i] | ✔ | |
| 28 | Linear OA(4151, 1087, F4, 35) (dual of [1087, 936, 36]-code) | [i] | ✔ | |