Information on Result #702569
Linear OA(2226, 511, F2, 55) (dual of [511, 285, 56]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−52,−51,…,2}, and designed minimum distance d ≥ |I|+1 = 56
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 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(2246, 564, F2, 54) (dual of [564, 318, 55]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2244, 561, F2, 54) (dual of [561, 317, 55]-code) | [i] | ✔ | |
| 3 | Linear OA(2243, 560, F2, 54) (dual of [560, 317, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(2241, 554, F2, 55) (dual of [554, 313, 56]-code) | [i] | ✔ | |
| 5 | Linear OA(2238, 551, F2, 54) (dual of [551, 313, 55]-code) | [i] | ✔ | |
| 6 | Linear OA(2237, 544, F2, 54) (dual of [544, 307, 55]-code) | [i] | ✔ | |
| 7 | Linear OA(2238, 550, F2, 55) (dual of [550, 312, 56]-code) | [i] | ✔ | |
| 8 | Linear OA(2237, 543, F2, 55) (dual of [543, 306, 56]-code) | [i] | ✔ | |
| 9 | Linear OA(2260, 563, F2, 58) (dual of [563, 303, 59]-code) | [i] | ✔ | |
| 10 | Linear OOA(2226, 170, F2, 3, 55) (dual of [(170, 3), 284, 56]-NRT-code) | [i] | OOA Folding | |