Information on Result #708003
Linear OA(485, 1023, F4, 22) (dual of [1023, 938, 23]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(485, 920, F4, 2, 22) (dual of [(920, 2), 1755, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(485, 920, F4, 3, 22) (dual of [(920, 3), 2675, 23]-NRT-code) | [i] | ||
| 3 | Digital (63, 85, 920)-net over F4 | [i] | ||
| 4 | Linear OA(493, 1041, F4, 24) (dual of [1041, 948, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4109, 1057, F4, 27) (dual of [1057, 948, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(4117, 1065, F4, 28) (dual of [1065, 948, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(498, 1036, F4, 26) (dual of [1036, 938, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(4114, 1052, F4, 29) (dual of [1052, 938, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(4112, 1050, F4, 28) (dual of [1050, 938, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(4113, 1050, F4, 29) (dual of [1050, 937, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(4111, 1046, F4, 28) (dual of [1046, 935, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(4122, 1060, F4, 30) (dual of [1060, 938, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(4130, 1065, F4, 31) (dual of [1065, 935, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(4129, 1063, F4, 31) (dual of [1063, 934, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(4154, 1089, F4, 35) (dual of [1089, 935, 36]-code) | [i] | ✔ | |