Information on Result #1175794
Linear OOA(2196, 1048582, F2, 8, 17) (dual of [(1048582, 8), 8388460, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(211, 7, F2, 8, 8) (dual of [(7, 8), 45, 9]-NRT-code), using
- appending kth column [i] based on linear OOA(211, 7, F2, 7, 8) (dual of [(7, 7), 38, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,40P) [i] based on function field F/F2 with g(F) = 3 and N(F) ≥ 7, using
- appending kth column [i] based on linear OOA(211, 7, F2, 7, 8) (dual of [(7, 7), 38, 9]-NRT-code), using
- linear OOA(2185, 1048575, F2, 8, 17) (dual of [(1048575, 8), 8388415, 18]-NRT-code), using
- OOA 8-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 8-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
Mode: Constructive and 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(2196, 1048581, F2, 24, 17) (dual of [(1048581, 24), 25165748, 18]-NRT-code) | [i] | OOA Stacking with Additional Row | |