Information on Result #1116071
Linear OOA(2245, 1677729, F2, 5, 20) (dual of [(1677729, 5), 8388400, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(215, 9, F2, 5, 10) (dual of [(9, 5), 30, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,34P) [i] based on function field F/F2 with g(F) = 5 and N(F) ≥ 9, using
- linear OOA(2230, 1677720, F2, 5, 20) (dual of [(1677720, 5), 8388370, 21]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2230, 8388600, F2, 20) (dual of [8388600, 8388370, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using
- OOA 5-folding [i] based on linear OA(2230, 8388600, F2, 20) (dual of [8388600, 8388370, 21]-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(2245, 838864, F2, 25, 20) (dual of [(838864, 25), 20971355, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |