Information on Result #707588
Linear OA(461, 1023, F4, 16) (dual of [1023, 962, 17]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,10}, and designed minimum distance d ≥ |I|+1 = 17
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(461, 756, F4, 2, 16) (dual of [(756, 2), 1451, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(461, 756, F4, 3, 16) (dual of [(756, 3), 2207, 17]-NRT-code) | [i] | ||
| 3 | Digital (45, 61, 756)-net over F4 | [i] | ||
| 4 | Linear OA(469, 1061, F4, 16) (dual of [1061, 992, 17]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(468, 1055, F4, 16) (dual of [1055, 987, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(467, 1049, F4, 16) (dual of [1049, 982, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(477, 1060, F4, 18) (dual of [1060, 983, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(474, 1056, F4, 18) (dual of [1056, 982, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(481, 1063, F4, 19) (dual of [1063, 982, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(480, 1057, F4, 19) (dual of [1057, 977, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(488, 1070, F4, 20) (dual of [1070, 982, 21]-code) | [i] | ✔ | |