Information on Result #672332
Linear OA(2153, 524288, F2, 17) (dual of [524288, 524135, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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(2173, 524308, F2, 19) (dual of [524308, 524135, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2154, 524308, F2, 17) (dual of [524308, 524154, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(2173, 524309, F2, 19) (dual of [524309, 524136, 20]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2154, 524309, F2, 17) (dual of [524309, 524155, 18]-code) | [i] | ✔ | |
| 5 | Linear OOA(2153, 262144, F2, 2, 17) (dual of [(262144, 2), 524135, 18]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2153, 131072, F2, 4, 17) (dual of [(131072, 4), 524135, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(2153, 104857, F2, 5, 17) (dual of [(104857, 5), 524132, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(2153, 87381, F2, 6, 17) (dual of [(87381, 6), 524133, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(2153, 74898, F2, 7, 17) (dual of [(74898, 7), 524133, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(2153, 65536, F2, 8, 17) (dual of [(65536, 8), 524135, 18]-NRT-code) | [i] | ||