Information on Result #906848
Linear OOA(32107, 4194400, F32, 2, 19) (dual of [(4194400, 2), 8388693, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3216, 99, F32, 2, 9) (dual of [(99, 2), 182, 10]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(323, 33, F32, 2, 3) (dual of [(33, 2), 63, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;63,32) [i]
- linear OOA(324, 33, F32, 2, 4) (dual of [(33, 2), 62, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;62,32) [i]
- linear OOA(329, 33, F32, 2, 9) (dual of [(33, 2), 57, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;57,32) [i]
- linear OOA(323, 33, F32, 2, 3) (dual of [(33, 2), 63, 4]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(3291, 4194301, F32, 2, 19) (dual of [(4194301, 2), 8388511, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3291, 8388602, F32, 19) (dual of [8388602, 8388511, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3291, large, F32, 19) (dual of [large, large−91, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3291, large, F32, 19) (dual of [large, large−91, 20]-code), using
- OOA 2-folding [i] based on linear OA(3291, 8388602, F32, 19) (dual of [8388602, 8388511, 20]-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.