Information on Result #672277
Linear OA(2201, 1048576, F2, 21) (dual of [1048576, 1048375, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2222, 1048597, F2, 23) (dual of [1048597, 1048375, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2202, 1048597, F2, 21) (dual of [1048597, 1048395, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(2202, 1048598, F2, 21) (dual of [1048598, 1048396, 22]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 4 | Linear OOA(2201, 524288, F2, 2, 21) (dual of [(524288, 2), 1048375, 22]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2201, 349525, F2, 3, 21) (dual of [(349525, 3), 1048374, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(2201, 262144, F2, 4, 21) (dual of [(262144, 4), 1048375, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(2201, 209715, F2, 5, 21) (dual of [(209715, 5), 1048374, 22]-NRT-code) | [i] | ||
| 8 | Linear OOA(2201, 174762, F2, 6, 21) (dual of [(174762, 6), 1048371, 22]-NRT-code) | [i] | ||
| 9 | Linear OOA(2201, 149796, F2, 7, 21) (dual of [(149796, 7), 1048371, 22]-NRT-code) | [i] | ||
| 10 | Linear OOA(2201, 131072, F2, 8, 21) (dual of [(131072, 8), 1048375, 22]-NRT-code) | [i] | ||
| 11 | Linear OOA(2201, 104857, F2, 21, 21) (dual of [(104857, 21), 2201796, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |