Information on Result #702150
Linear OA(2189, 511, F2, 44) (dual of [511, 322, 45]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2201, 550, F2, 44) (dual of [550, 349, 45]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2224, 564, F2, 49) (dual of [564, 340, 50]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(2220, 560, F2, 48) (dual of [560, 340, 49]-code) | [i] | ✔ | |
| 4 | Linear OA(2204, 535, F2, 47) (dual of [535, 331, 48]-code) | [i] | ✔ | |
| 5 | Linear OA(2201, 532, F2, 46) (dual of [532, 331, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(2219, 550, F2, 49) (dual of [550, 331, 50]-code) | [i] | ✔ | |
| 7 | Linear OA(2215, 546, F2, 48) (dual of [546, 331, 49]-code) | [i] | ✔ | |
| 8 | Linear OA(2213, 535, F2, 49) (dual of [535, 322, 50]-code) | [i] | ✔ | |
| 9 | Linear OA(2210, 532, F2, 48) (dual of [532, 322, 49]-code) | [i] | ✔ | |
| 10 | Linear OA(2258, 576, F2, 56) (dual of [576, 318, 57]-code) | [i] | ✔ | |
| 11 | Linear OOA(2189, 255, F2, 2, 44) (dual of [(255, 2), 321, 45]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(2189, 170, F2, 3, 44) (dual of [(170, 3), 321, 45]-NRT-code) | [i] | ||
| 13 | Linear OOA(2189, 127, F2, 4, 44) (dual of [(127, 4), 319, 45]-NRT-code) | [i] | ||
| 14 | Linear OOA(2189, 102, F2, 5, 44) (dual of [(102, 5), 321, 45]-NRT-code) | [i] | ||