Information on Result #672361
Linear OA(2171, 524287, F2, 18) (dual of [524287, 524116, 19]-code), using the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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(2192, 524309, F2, 20) (dual of [524309, 524117, 21]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 2 | Linear OOA(2171, 262143, F2, 2, 18) (dual of [(262143, 2), 524115, 19]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2171, 174762, F2, 3, 18) (dual of [(174762, 3), 524115, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(2171, 131071, F2, 4, 18) (dual of [(131071, 4), 524113, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(2171, 104857, F2, 5, 18) (dual of [(104857, 5), 524114, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(2171, 87381, F2, 6, 18) (dual of [(87381, 6), 524115, 19]-NRT-code) | [i] | ||
| 7 | Linear OOA(2171, 74898, F2, 7, 18) (dual of [(74898, 7), 524115, 19]-NRT-code) | [i] | ||
| 8 | Linear OOA(2171, 65535, F2, 8, 18) (dual of [(65535, 8), 524109, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(2171, 58254, F2, 18, 18) (dual of [(58254, 18), 1048401, 19]-NRT-code) | [i] | OA Folding and Stacking | |