Information on Result #708348
Linear OA(4115, 1023, F4, 30) (dual of [1023, 908, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4123, 1041, F4, 32) (dual of [1041, 918, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4139, 1057, F4, 35) (dual of [1057, 918, 36]-code) | [i] | ✔ | |
| 3 | Linear OA(4147, 1065, F4, 36) (dual of [1065, 918, 37]-code) | [i] | ✔ | |
| 4 | Linear OA(4128, 1036, F4, 34) (dual of [1036, 908, 35]-code) | [i] | ✔ | |
| 5 | Linear OA(4144, 1052, F4, 37) (dual of [1052, 908, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(4142, 1050, F4, 36) (dual of [1050, 908, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(4143, 1050, F4, 37) (dual of [1050, 907, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(4141, 1046, F4, 36) (dual of [1046, 905, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(4152, 1060, F4, 38) (dual of [1060, 908, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(4160, 1065, F4, 39) (dual of [1065, 905, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(4159, 1063, F4, 39) (dual of [1063, 904, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(4184, 1089, F4, 43) (dual of [1089, 905, 44]-code) | [i] | ✔ | |