Information on Result #610912
Linear OA(261, 1048576, F2, 7) (dual of [1048576, 1048515, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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(260, 1048575, F2, 6) (dual of [1048575, 1048515, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(282, 1048597, F2, 9) (dual of [1048597, 1048515, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(262, 1048597, F2, 7) (dual of [1048597, 1048535, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(282, 1048598, F2, 9) (dual of [1048598, 1048516, 10]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(262, 1048598, F2, 7) (dual of [1048598, 1048536, 8]-code) | [i] | ✔ | |
| 6 | Linear OOA(261, 524288, F2, 2, 7) (dual of [(524288, 2), 1048515, 8]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(261, 349525, F2, 3, 7) (dual of [(349525, 3), 1048514, 8]-NRT-code) | [i] | ||