Information on Result #707606
Linear OA(461, 1023, F4, 17) (dual of [1023, 962, 18]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {333,334,…,349}, and designed minimum distance d ≥ |I|+1 = 18
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(461, 537, F4, 2, 17) (dual of [(537, 2), 1013, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(461, 537, F4, 3, 17) (dual of [(537, 3), 1550, 18]-NRT-code) | [i] | ||
| 3 | Digital (44, 61, 537)-net over F4 | [i] | ||
| 4 | Linear OA(472, 1059, F4, 17) (dual of [1059, 987, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(484, 1068, F4, 19) (dual of [1068, 984, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(490, 1067, F4, 21) (dual of [1067, 977, 22]-code) | [i] | ✔ | |
| 7 | Linear OOA(461, 341, F4, 3, 17) (dual of [(341, 3), 962, 18]-NRT-code) | [i] | OOA Folding | |