Information on Result #1593014
Linear OOA(2168, 1116, F2, 4, 28) (dual of [(1116, 4), 4296, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2168, 1116, F2, 3, 28) (dual of [(1116, 3), 3180, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2168, 1365, F2, 3, 28) (dual of [(1365, 3), 3927, 29]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2168, 4095, F2, 28) (dual of [4095, 3927, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2168, 4096, F2, 28) (dual of [4096, 3928, 29]-code), using
- 1 times truncation [i] based on linear OA(2169, 4097, F2, 29) (dual of [4097, 3928, 30]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2169, 4097, F2, 29) (dual of [4097, 3928, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(2168, 4096, F2, 28) (dual of [4096, 3928, 29]-code), using
- OOA 3-folding [i] based on linear OA(2168, 4095, F2, 28) (dual of [4095, 3927, 29]-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(2168, 558, F2, 8, 28) (dual of [(558, 8), 4296, 29]-NRT-code) | [i] | OOA Folding | |