Information on Result #611267
Linear OA(2248, 524288, F2, 27) (dual of [524288, 524040, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2247, 524287, F2, 26) (dual of [524287, 524040, 27]-code) | [i] | Truncation | |
| 2 | Linear OA(2249, 524308, F2, 27) (dual of [524308, 524059, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2254, 524320, F2, 27) (dual of [524320, 524066, 28]-code) | [i] | ✔ | |
| 4 | Linear OA(2255, 524333, F2, 27) (dual of [524333, 524078, 28]-code) | [i] | ✔ | |
| 5 | Linear OOA(2248, 262144, F2, 2, 27) (dual of [(262144, 2), 524040, 28]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2248, 174762, F2, 3, 27) (dual of [(174762, 3), 524038, 28]-NRT-code) | [i] | ||
| 7 | Linear OOA(2248, 131072, F2, 4, 27) (dual of [(131072, 4), 524040, 28]-NRT-code) | [i] | ||
| 8 | Linear OOA(2248, 104857, F2, 5, 27) (dual of [(104857, 5), 524037, 28]-NRT-code) | [i] | ||
| 9 | Linear OOA(2248, 87381, F2, 6, 27) (dual of [(87381, 6), 524038, 28]-NRT-code) | [i] | ||
| 10 | Linear OOA(2248, 74898, F2, 7, 27) (dual of [(74898, 7), 524038, 28]-NRT-code) | [i] | ||
| 11 | Linear OOA(2248, 65536, F2, 8, 27) (dual of [(65536, 8), 524040, 28]-NRT-code) | [i] | ||
| 12 | Linear OOA(2248, 40329, F2, 27, 27) (dual of [(40329, 27), 1088635, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |