Information on Result #707758
Linear OA(481, 1023, F4, 21) (dual of [1023, 942, 22]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,14}, and designed minimum distance d ≥ |I|+1 = 22
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(481, 892, F4, 2, 21) (dual of [(892, 2), 1703, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(481, 892, F4, 3, 21) (dual of [(892, 3), 2595, 22]-NRT-code) | [i] | ||
| 3 | Digital (60, 81, 892)-net over F4 | [i] | ||
| 4 | Linear OA(4100, 1065, F4, 23) (dual of [1065, 965, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(499, 1063, F4, 23) (dual of [1063, 964, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(497, 1063, F4, 23) (dual of [1063, 966, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(4104, 1070, F4, 24) (dual of [1070, 966, 25]-code) | [i] | ✔ | |