Information on Result #702486
Linear OA(2199, 511, F2, 47) (dual of [511, 312, 48]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−4,−3,…,42}, and designed minimum distance d ≥ |I|+1 = 48
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]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2215, 564, F2, 47) (dual of [564, 349, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2211, 560, F2, 46) (dual of [560, 349, 47]-code) | [i] | ✔ | |
| 3 | Linear OA(2210, 550, F2, 47) (dual of [550, 340, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(2206, 546, F2, 46) (dual of [546, 340, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(2211, 559, F2, 47) (dual of [559, 348, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(2210, 551, F2, 47) (dual of [551, 341, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(2206, 545, F2, 47) (dual of [545, 339, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(2205, 537, F2, 47) (dual of [537, 332, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(2219, 550, F2, 49) (dual of [550, 331, 50]-code) | [i] | ✔ | |
| 10 | Linear OA(2215, 546, F2, 48) (dual of [546, 331, 49]-code) | [i] | ✔ | |
| 11 | Linear OA(2215, 545, F2, 49) (dual of [545, 330, 50]-code) | [i] | ✔ | |
| 12 | Linear OA(2214, 537, F2, 49) (dual of [537, 323, 50]-code) | [i] | ✔ | |
| 13 | Linear OOA(2199, 170, F2, 3, 47) (dual of [(170, 3), 311, 48]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(2199, 102, F2, 5, 47) (dual of [(102, 5), 311, 48]-NRT-code) | [i] | ||