Information on Result #1116093
Linear OOA(2245, 1677728, F2, 5, 21) (dual of [(1677728, 5), 8388395, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(214, 8, F2, 5, 10) (dual of [(8, 5), 26, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,29P) [i] based on function field F/F2 with g(F) = 4 and N(F) ≥ 8, 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
None.