Information on Result #707911
Linear OA(496, 1023, F4, 25) (dual of [1023, 927, 26]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,18}, and designed minimum distance d ≥ |I|+1 = 26
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(496, 947, F4, 2, 25) (dual of [(947, 2), 1798, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(496, 947, F4, 3, 25) (dual of [(947, 3), 2745, 26]-NRT-code) | [i] | ||
| 3 | Digital (71, 96, 947)-net over F4 | [i] | ||
| 4 | Linear OA(4115, 1065, F4, 27) (dual of [1065, 950, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4114, 1063, F4, 27) (dual of [1063, 949, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(4112, 1063, F4, 27) (dual of [1063, 951, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(4121, 1070, F4, 28) (dual of [1070, 949, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(4119, 1070, F4, 28) (dual of [1070, 951, 29]-code) | [i] | ✔ | |
| 9 | Linear OA(4138, 1087, F4, 31) (dual of [1087, 949, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(4136, 1087, F4, 31) (dual of [1087, 951, 32]-code) | [i] | ✔ | |