Information on Result #1701337
Linear OOA(2187, 1272373, F2, 8, 17) (dual of [(1272373, 8), 10178797, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2187, 1272373, F2, 6, 17) (dual of [(1272373, 6), 7634051, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2187, 1398100, F2, 6, 17) (dual of [(1398100, 6), 8388413, 18]-NRT-code), using
- 22 times duplication [i] based on linear OOA(2185, 1398100, F2, 6, 17) (dual of [(1398100, 6), 8388415, 18]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 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
- OOA 6-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
- 22 times duplication [i] based on linear OOA(2185, 1398100, F2, 6, 17) (dual of [(1398100, 6), 8388415, 18]-NRT-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(2187, 1272372, F2, 24, 17) (dual of [(1272372, 24), 30536741, 18]-NRT-code) | [i] | OOA Stacking with Additional Row | |