Information on Result #707343
Linear OA(4146, 1023, F4, 39) (dual of [1023, 877, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4171, 1092, F4, 39) (dual of [1092, 921, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4172, 1094, F4, 39) (dual of [1094, 922, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(4216, 1092, F4, 51) (dual of [1092, 876, 52]-code) | [i] | ✔ | |
| 4 | Linear OA(4217, 1094, F4, 51) (dual of [1094, 877, 52]-code) | [i] | ✔ | |
| 5 | Linear OA(4180, 1077, F4, 44) (dual of [1077, 897, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(4179, 1071, F4, 44) (dual of [1071, 892, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(4170, 1060, F4, 43) (dual of [1060, 890, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(4151, 1033, F4, 40) (dual of [1033, 882, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(4178, 1070, F4, 44) (dual of [1070, 892, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(4167, 1054, F4, 43) (dual of [1054, 887, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(4166, 1051, F4, 43) (dual of [1051, 885, 44]-code) | [i] | ✔ | |
| 12 | Linear OA(4174, 1061, F4, 44) (dual of [1061, 887, 45]-code) | [i] | ✔ | |
| 13 | Linear OA(4173, 1055, F4, 44) (dual of [1055, 882, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(4165, 1045, F4, 43) (dual of [1045, 880, 44]-code) | [i] | ✔ | |
| 15 | Linear OA(4172, 1049, F4, 44) (dual of [1049, 877, 45]-code) | [i] | ✔ | |
| 16 | Linear OA(4163, 1040, F4, 43) (dual of [1040, 877, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(4172, 1049, F4, 45) (dual of [1049, 877, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(4170, 1047, F4, 44) (dual of [1047, 877, 45]-code) | [i] | ✔ | |
| 19 | Linear OA(4171, 1046, F4, 45) (dual of [1046, 875, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(4179, 1056, F4, 46) (dual of [1056, 877, 47]-code) | [i] | ✔ | |
| 21 | Linear OA(4187, 1063, F4, 47) (dual of [1063, 876, 48]-code) | [i] | ✔ | |
| 22 | Linear OA(4178, 1053, F4, 46) (dual of [1053, 875, 47]-code) | [i] | ✔ | |
| 23 | Linear OA(4186, 1063, F4, 47) (dual of [1063, 877, 48]-code) | [i] | ✔ | |
| 24 | Linear OA(4185, 1057, F4, 47) (dual of [1057, 872, 48]-code) | [i] | ✔ | |
| 25 | Linear OA(4194, 1070, F4, 48) (dual of [1070, 876, 49]-code) | [i] | ✔ | |
| 26 | Linear OA(4185, 1060, F4, 47) (dual of [1060, 875, 48]-code) | [i] | ✔ | |
| 27 | Linear OA(4193, 1070, F4, 48) (dual of [1070, 877, 49]-code) | [i] | ✔ | |
| 28 | Linear OA(4211, 1087, F4, 51) (dual of [1087, 876, 52]-code) | [i] | ✔ | |