Information on Result #672360
Linear OA(2191, 524287, F2, 21) (dual of [524287, 524096, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22
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(2192, 524309, F2, 20) (dual of [524309, 524117, 21]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 2 | Linear OOA(2191, 104857, F2, 5, 21) (dual of [(104857, 5), 524094, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2191, 87381, F2, 6, 21) (dual of [(87381, 6), 524095, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(2191, 74898, F2, 7, 21) (dual of [(74898, 7), 524095, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(2191, 52428, F2, 21, 21) (dual of [(52428, 21), 1100797, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |