Information on Result #672329
Linear OA(2191, 524288, F2, 21) (dual of [524288, 524097, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, 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(2211, 524308, F2, 23) (dual of [524308, 524097, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2192, 524308, F2, 21) (dual of [524308, 524116, 22]-code) | [i] | ✔ | |
| 3 | Linear OOA(2191, 262144, F2, 2, 21) (dual of [(262144, 2), 524097, 22]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2191, 131072, F2, 4, 21) (dual of [(131072, 4), 524097, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(2191, 65536, F2, 8, 21) (dual of [(65536, 8), 524097, 22]-NRT-code) | [i] | ||