Information on Result #1683856
Linear OOA(2182, 1981, F2, 7, 28) (dual of [(1981, 7), 13685, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2182, 1981, F2, 4, 28) (dual of [(1981, 4), 7742, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2182, 2048, F2, 4, 28) (dual of [(2048, 4), 8010, 29]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2182, 8192, F2, 28) (dual of [8192, 8010, 29]-code), using
- 1 times truncation [i] based on linear OA(2183, 8193, F2, 29) (dual of [8193, 8010, 30]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, 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(2183, 8193, F2, 29) (dual of [8193, 8010, 30]-code), using
- OOA 4-folding [i] based on linear OA(2182, 8192, F2, 28) (dual of [8192, 8010, 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(2182, 990, F2, 35, 28) (dual of [(990, 35), 34468, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |