Information on Result #1679385
Linear OOA(284, 1229, F2, 7, 14) (dual of [(1229, 7), 8519, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(284, 1229, F2, 3, 14) (dual of [(1229, 3), 3603, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(284, 1365, F2, 3, 14) (dual of [(1365, 3), 4011, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(284, 4095, F2, 14) (dual of [4095, 4011, 15]-code), using
- 1 times truncation [i] based on linear OA(285, 4096, F2, 15) (dual of [4096, 4011, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 1 times truncation [i] based on linear OA(285, 4096, F2, 15) (dual of [4096, 4011, 16]-code), using
- OOA 3-folding [i] based on linear OA(284, 4095, F2, 14) (dual of [4095, 4011, 15]-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(284, 1228, F2, 8, 14) (dual of [(1228, 8), 9740, 15]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(284, 1228, F2, 21, 14) (dual of [(1228, 21), 25704, 15]-NRT-code) | [i] | ||