Information on Result #610911
Linear OA(258, 524288, F2, 7) (dual of [524288, 524230, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, 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(257, 524287, F2, 6) (dual of [524287, 524230, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(278, 524308, F2, 9) (dual of [524308, 524230, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(259, 524308, F2, 7) (dual of [524308, 524249, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(278, 524309, F2, 9) (dual of [524309, 524231, 10]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(259, 524309, F2, 7) (dual of [524309, 524250, 8]-code) | [i] | ✔ | |
| 6 | Linear OOA(258, 262144, F2, 2, 7) (dual of [(262144, 2), 524230, 8]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(258, 174762, F2, 3, 7) (dual of [(174762, 3), 524228, 8]-NRT-code) | [i] | ||