Information on Result #709053
Linear OA(4175, 1023, F4, 46) (dual of [1023, 848, 47]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47
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(4183, 1041, F4, 48) (dual of [1041, 858, 49]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4199, 1057, F4, 51) (dual of [1057, 858, 52]-code) | [i] | ✔ | |
| 3 | Linear OA(4207, 1065, F4, 52) (dual of [1065, 858, 53]-code) | [i] | ✔ | |
| 4 | Linear OA(4188, 1036, F4, 50) (dual of [1036, 848, 51]-code) | [i] | ✔ | |
| 5 | Linear OA(4204, 1052, F4, 53) (dual of [1052, 848, 54]-code) | [i] | ✔ | |
| 6 | Linear OA(4202, 1050, F4, 52) (dual of [1050, 848, 53]-code) | [i] | ✔ | |
| 7 | Linear OA(4203, 1050, F4, 53) (dual of [1050, 847, 54]-code) | [i] | ✔ | |
| 8 | Linear OA(4201, 1046, F4, 52) (dual of [1046, 845, 53]-code) | [i] | ✔ | |
| 9 | Linear OA(4212, 1060, F4, 54) (dual of [1060, 848, 55]-code) | [i] | ✔ | |
| 10 | Linear OA(4220, 1065, F4, 55) (dual of [1065, 845, 56]-code) | [i] | ✔ | |
| 11 | Linear OA(4219, 1063, F4, 55) (dual of [1063, 844, 56]-code) | [i] | ✔ | |
| 12 | Linear OA(4244, 1089, F4, 59) (dual of [1089, 845, 60]-code) | [i] | ✔ | |