Information on Result #707603
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 = {328,329,…,343}, 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(471, 1064, F4, 16) (dual of [1064, 993, 17]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4102, 1073, F4, 23) (dual of [1073, 971, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(4104, 1066, F4, 25) (dual of [1066, 962, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(4103, 1060, F4, 25) (dual of [1060, 957, 26]-code) | [i] | ✔ | |