Information on Result #708323
Linear OA(4136, 1023, F4, 36) (dual of [1023, 887, 37]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {308,309,…,343}, and designed minimum distance d ≥ |I|+1 = 37
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 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(4152, 1073, F4, 36) (dual of [1073, 921, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4151, 1071, F4, 36) (dual of [1071, 920, 37]-code) | [i] | ✔ | |
| 3 | Linear OA(4150, 1070, F4, 36) (dual of [1070, 920, 37]-code) | [i] | ✔ | |
| 4 | Linear OA(4149, 1068, F4, 36) (dual of [1068, 919, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(4146, 1064, F4, 36) (dual of [1064, 918, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(4173, 1080, F4, 42) (dual of [1080, 907, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(4177, 1073, F4, 43) (dual of [1073, 896, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(4179, 1066, F4, 45) (dual of [1066, 887, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(4178, 1060, F4, 45) (dual of [1060, 882, 46]-code) | [i] | ✔ | |