Information on Result #1051073
Linear OOA(292, 2097150, F2, 4, 8) (dual of [(2097150, 4), 8388508, 9]-NRT-code), using OOA 4-folding based on linear OA(292, 8388600, F2, 8) (dual of [8388600, 8388508, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(292, large, F2, 8) (dual of [large, large−92, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(296, 2097153, F2, 4, 8) (dual of [(2097153, 4), 8388516, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(297, 2097155, F2, 4, 8) (dual of [(2097155, 4), 8388523, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(298, 2097158, F2, 4, 8) (dual of [(2097158, 4), 8388534, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(299, 2097161, F2, 4, 8) (dual of [(2097161, 4), 8388545, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(2100, 2097167, F2, 4, 8) (dual of [(2097167, 4), 8388568, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(2101, 2097173, F2, 4, 8) (dual of [(2097173, 4), 8388591, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(2102, 2097182, F2, 4, 8) (dual of [(2097182, 4), 8388626, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(2103, 2097197, F2, 4, 8) (dual of [(2097197, 4), 8388685, 9]-NRT-code) | [i] | ||
| 9 | Linear OOA(2104, 2097215, F2, 4, 8) (dual of [(2097215, 4), 8388756, 9]-NRT-code) | [i] | ||
| 10 | Linear OOA(2105, 2097230, F2, 4, 8) (dual of [(2097230, 4), 8388815, 9]-NRT-code) | [i] | ||
| 11 | Linear OOA(2106, 2097278, F2, 4, 8) (dual of [(2097278, 4), 8389006, 9]-NRT-code) | [i] | ||
| 12 | Linear OOA(2107, 2097299, F2, 4, 8) (dual of [(2097299, 4), 8389089, 9]-NRT-code) | [i] | ||
| 13 | Linear OOA(2108, 2097407, F2, 4, 8) (dual of [(2097407, 4), 8389520, 9]-NRT-code) | [i] | ||
| 14 | Linear OOA(2110, 2097661, F2, 4, 8) (dual of [(2097661, 4), 8390534, 9]-NRT-code) | [i] | ||
| 15 | Linear OOA(2111, 2097663, F2, 4, 8) (dual of [(2097663, 4), 8390541, 9]-NRT-code) | [i] | ||
| 16 | Linear OOA(2112, 2098175, F2, 4, 8) (dual of [(2098175, 4), 8392588, 9]-NRT-code) | [i] | ||
| 17 | Linear OOA(2114, 2099197, F2, 4, 8) (dual of [(2099197, 4), 8396674, 9]-NRT-code) | [i] | ||