Information on Result #1682585
Linear OOA(2161, 1677720, F2, 7, 14) (dual of [(1677720, 7), 11743879, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2161, 1677720, F2, 5, 14) (dual of [(1677720, 5), 8388439, 15]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2161, 8388600, F2, 14) (dual of [8388600, 8388439, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
Mode: 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(2162, 1677720, F2, 7, 14) (dual of [(1677720, 7), 11743878, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2163, 1677720, F2, 7, 14) (dual of [(1677720, 7), 11743877, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(2164, 1677720, F2, 7, 14) (dual of [(1677720, 7), 11743876, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(2165, 1677720, F2, 7, 14) (dual of [(1677720, 7), 11743875, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(2161, 1677719, F2, 8, 14) (dual of [(1677719, 8), 13421591, 15]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 6 | Linear OOA(2161, 1677719, F2, 21, 14) (dual of [(1677719, 21), 35231938, 15]-NRT-code) | [i] | ||