Information on Result #707377
Linear OA(4126, 1023, F4, 34) (dual of [1023, 897, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35
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(4126, 935, F4, 2, 34) (dual of [(935, 2), 1744, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4126, 935, F4, 3, 34) (dual of [(935, 3), 2679, 35]-NRT-code) | [i] | ||
| 3 | Digital (92, 126, 935)-net over F4 | [i] | ||
| 4 | Linear OA(4196, 1092, F4, 46) (dual of [1092, 896, 47]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4197, 1094, F4, 46) (dual of [1094, 897, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(4160, 1077, F4, 39) (dual of [1077, 917, 40]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(4159, 1071, F4, 39) (dual of [1071, 912, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(4150, 1060, F4, 38) (dual of [1060, 910, 39]-code) | [i] | ✔ | |
| 9 | Linear OA(4131, 1033, F4, 35) (dual of [1033, 902, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(4168, 1084, F4, 40) (dual of [1084, 916, 41]-code) | [i] | ✔ | |
| 11 | Linear OA(4158, 1070, F4, 39) (dual of [1070, 912, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(4148, 1053, F4, 38) (dual of [1053, 905, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(4137, 1039, F4, 36) (dual of [1039, 902, 37]-code) | [i] | ✔ | |
| 14 | Linear OA(4166, 1077, F4, 40) (dual of [1077, 911, 41]-code) | [i] | ✔ | |
| 15 | Linear OA(4156, 1063, F4, 39) (dual of [1063, 907, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(4155, 1057, F4, 39) (dual of [1057, 902, 40]-code) | [i] | ✔ | |
| 17 | Linear OA(4164, 1070, F4, 40) (dual of [1070, 906, 41]-code) | [i] | ✔ | |
| 18 | Linear OA(4146, 1048, F4, 38) (dual of [1048, 902, 39]-code) | [i] | ✔ | |
| 19 | Linear OA(4145, 1045, F4, 38) (dual of [1045, 900, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(4153, 1055, F4, 39) (dual of [1055, 902, 40]-code) | [i] | ✔ | |
| 21 | Linear OA(4152, 1049, F4, 39) (dual of [1049, 897, 40]-code) | [i] | ✔ | |
| 22 | Linear OA(4161, 1062, F4, 40) (dual of [1062, 901, 41]-code) | [i] | ✔ | |
| 23 | Linear OA(4136, 1033, F4, 36) (dual of [1033, 897, 37]-code) | [i] | ✔ | |
| 24 | Linear OA(4150, 1045, F4, 39) (dual of [1045, 895, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(4157, 1049, F4, 40) (dual of [1049, 892, 41]-code) | [i] | ✔ | |
| 26 | Linear OA(4159, 1056, F4, 41) (dual of [1056, 897, 42]-code) | [i] | ✔ | |
| 27 | Linear OA(4158, 1053, F4, 41) (dual of [1053, 895, 42]-code) | [i] | ✔ | |
| 28 | Linear OA(4166, 1063, F4, 42) (dual of [1063, 897, 43]-code) | [i] | ✔ | |
| 29 | Linear OA(4165, 1057, F4, 42) (dual of [1057, 892, 43]-code) | [i] | ✔ | |
| 30 | Linear OA(4174, 1070, F4, 43) (dual of [1070, 896, 44]-code) | [i] | ✔ | |
| 31 | Linear OA(4182, 1072, F4, 44) (dual of [1072, 890, 45]-code) | [i] | ✔ | |
| 32 | Linear OA(4165, 1060, F4, 42) (dual of [1060, 895, 43]-code) | [i] | ✔ | |
| 33 | Linear OA(4173, 1070, F4, 43) (dual of [1070, 897, 44]-code) | [i] | ✔ | |
| 34 | Linear OA(4181, 1077, F4, 44) (dual of [1077, 896, 45]-code) | [i] | ✔ | |
| 35 | Linear OA(4180, 1077, F4, 44) (dual of [1077, 897, 45]-code) | [i] | ✔ | |
| 36 | Linear OA(4179, 1071, F4, 44) (dual of [1071, 892, 45]-code) | [i] | ✔ | |