Information on Result #611202
Linear OA(2221, 1048576, F2, 23) (dual of [1048576, 1048355, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(2220, 1048575, F2, 22) (dual of [1048575, 1048355, 23]-code) | [i] | Truncation | |
| 2 | Linear OA(2242, 1048597, F2, 25) (dual of [1048597, 1048355, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2222, 1048597, F2, 23) (dual of [1048597, 1048375, 24]-code) | [i] | ✔ | |
| 4 | Linear OA(2227, 1048608, F2, 23) (dual of [1048608, 1048381, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(2228, 1048623, F2, 23) (dual of [1048623, 1048395, 24]-code) | [i] | ✔ | |
| 6 | Linear OOA(2221, 524288, F2, 2, 23) (dual of [(524288, 2), 1048355, 24]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2221, 349525, F2, 3, 23) (dual of [(349525, 3), 1048354, 24]-NRT-code) | [i] | ||
| 8 | Linear OOA(2221, 262144, F2, 4, 23) (dual of [(262144, 4), 1048355, 24]-NRT-code) | [i] | ||
| 9 | Linear OOA(2221, 209715, F2, 5, 23) (dual of [(209715, 5), 1048354, 24]-NRT-code) | [i] | ||
| 10 | Linear OOA(2221, 174762, F2, 6, 23) (dual of [(174762, 6), 1048351, 24]-NRT-code) | [i] | ||
| 11 | Linear OOA(2221, 149796, F2, 7, 23) (dual of [(149796, 7), 1048351, 24]-NRT-code) | [i] | ||
| 12 | Linear OOA(2221, 131072, F2, 8, 23) (dual of [(131072, 8), 1048355, 24]-NRT-code) | [i] | ||
| 13 | Linear OOA(2221, 95325, F2, 23, 23) (dual of [(95325, 23), 2192254, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |