Information on Result #708412
Linear OA(4146, 1023, F4, 39) (dual of [1023, 877, 40]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,32}, and designed minimum distance d ≥ |I|+1 = 40
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 Expurgated Narrow-Sense BCH-Codes [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(4169, 1089, F4, 39) (dual of [1089, 920, 40]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4168, 1087, F4, 39) (dual of [1087, 919, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(4164, 1079, F4, 39) (dual of [1079, 915, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(4163, 1077, F4, 39) (dual of [1077, 914, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(4162, 1072, F4, 39) (dual of [1072, 910, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(4161, 1070, F4, 39) (dual of [1070, 909, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(4160, 1065, F4, 39) (dual of [1065, 905, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(4159, 1063, F4, 39) (dual of [1063, 904, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(4166, 1087, F4, 39) (dual of [1087, 921, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(4161, 1077, F4, 39) (dual of [1077, 916, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(4159, 1070, F4, 39) (dual of [1070, 911, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(4157, 1063, F4, 39) (dual of [1063, 906, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(4163, 1062, F4, 40) (dual of [1062, 899, 41]-code) | [i] | ✔ | |
| 14 | Linear OA(4161, 1062, F4, 40) (dual of [1062, 901, 41]-code) | [i] | ✔ | |
| 15 | Linear OA(4179, 1079, F4, 43) (dual of [1079, 900, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(4178, 1077, F4, 43) (dual of [1077, 899, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(4176, 1077, F4, 43) (dual of [1077, 901, 44]-code) | [i] | ✔ | |
| 18 | Linear OA(4186, 1086, F4, 44) (dual of [1086, 900, 45]-code) | [i] | ✔ | |
| 19 | Linear OA(4185, 1084, F4, 44) (dual of [1084, 899, 45]-code) | [i] | ✔ | |
| 20 | Linear OA(4183, 1084, F4, 44) (dual of [1084, 901, 45]-code) | [i] | ✔ | |