Information on Result #1588823
Linear OOA(249, 1365, F2, 4, 9) (dual of [(1365, 4), 5411, 10]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(249, 1365, F2, 3, 9) (dual of [(1365, 3), 4046, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(249, 4095, F2, 9) (dual of [4095, 4046, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(249, 4096, F2, 9) (dual of [4096, 4047, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(249, 4096, F2, 9) (dual of [4096, 4047, 10]-code), using
Mode: 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 OOA(2256, 2098515, F2, 4, 18) (dual of [(2098515, 4), 8393804, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2257, 2098515, F2, 4, 19) (dual of [(2098515, 4), 8393803, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(249, 1364, F2, 5, 9) (dual of [(1364, 5), 6771, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 4 | Linear OOA(249, 1364, F2, 6, 9) (dual of [(1364, 6), 8135, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(249, 1364, F2, 7, 9) (dual of [(1364, 7), 9499, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(249, 1364, F2, 8, 9) (dual of [(1364, 8), 10863, 10]-NRT-code) | [i] | ||