Information on Result #702245
Linear OA(2109, 511, F2, 25) (dual of [511, 402, 26]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−4,−3,…,20}, and designed minimum distance d ≥ |I|+1 = 26
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2120, 550, F2, 25) (dual of [550, 430, 26]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2116, 546, F2, 24) (dual of [546, 430, 25]-code) | [i] | ✔ | |
| 3 | Linear OA(2120, 551, F2, 25) (dual of [551, 431, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(2116, 545, F2, 25) (dual of [545, 429, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(2129, 550, F2, 27) (dual of [550, 421, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(2125, 546, F2, 26) (dual of [546, 421, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(2125, 545, F2, 27) (dual of [545, 420, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(2124, 537, F2, 27) (dual of [537, 413, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(2139, 560, F2, 28) (dual of [560, 421, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(2139, 559, F2, 29) (dual of [559, 420, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(2138, 551, F2, 29) (dual of [551, 413, 30]-code) | [i] | ✔ | |
| 12 | Linear OOA(2109, 102, F2, 5, 25) (dual of [(102, 5), 401, 26]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(2109, 85, F2, 6, 25) (dual of [(85, 6), 401, 26]-NRT-code) | [i] | ||
| 14 | Linear OOA(2109, 73, F2, 7, 25) (dual of [(73, 7), 402, 26]-NRT-code) | [i] | ||