Information on Result #1116094
Linear OOA(2246, 1677729, F2, 5, 21) (dual of [(1677729, 5), 8388399, 22]-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(2231, 1677720, F2, 5, 21) (dual of [(1677720, 5), 8388369, 22]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2231, 8388600, F2, 21) (dual of [8388600, 8388369, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- OOA 5-folding [i] based on linear OA(2231, 8388600, F2, 21) (dual of [8388600, 8388369, 22]-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(2246, 838864, F2, 25, 21) (dual of [(838864, 25), 20971354, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |