Information on Result #1701201
Linear OOA(2185, 1198371, F2, 8, 17) (dual of [(1198371, 8), 9586783, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2185, 1198371, F2, 7, 17) (dual of [(1198371, 7), 8388412, 18]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2185, 8388597, F2, 17) (dual of [8388597, 8388412, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-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(2186, 1198371, F2, 8, 17) (dual of [(1198371, 8), 9586782, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2185, 1198370, F2, 24, 17) (dual of [(1198370, 24), 28760695, 18]-NRT-code) | [i] | OOA Stacking with Additional Row | |