Information on Result #707700
Linear OA(476, 1023, F4, 20) (dual of [1023, 947, 21]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,14}, and designed minimum distance d ≥ |I|+1 = 21
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- 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(476, 799, F4, 2, 20) (dual of [(799, 2), 1522, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(476, 799, F4, 3, 20) (dual of [(799, 3), 2321, 21]-NRT-code) | [i] | ||
| 3 | Digital (56, 76, 799)-net over F4 | [i] | ||
| 4 | Linear OA(487, 1065, F4, 20) (dual of [1065, 978, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(489, 1071, F4, 20) (dual of [1071, 982, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(488, 1070, F4, 20) (dual of [1070, 982, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(484, 1061, F4, 20) (dual of [1061, 977, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(483, 1055, F4, 20) (dual of [1055, 972, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(482, 1049, F4, 20) (dual of [1049, 967, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(492, 1060, F4, 22) (dual of [1060, 968, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(489, 1056, F4, 22) (dual of [1056, 967, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(496, 1063, F4, 23) (dual of [1063, 967, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(495, 1057, F4, 23) (dual of [1057, 962, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(4103, 1070, F4, 24) (dual of [1070, 967, 25]-code) | [i] | ✔ | |