Information on Result #1198966
Digital (36, 45, 2097166)-net over F32, using net defined by OOA based on linear OOA(3245, 2097166, F32, 10, 9) (dual of [(2097166, 10), 20971615, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3245, 4194333, F32, 2, 9) (dual of [(4194333, 2), 8388621, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3245, 4194334, F32, 2, 9) (dual of [(4194334, 2), 8388623, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- 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(3241, 4194301, F32, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3241, 8388602, F32, 9) (dual of [8388602, 8388561, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(3241, large, F32, 9) (dual of [large, large−41, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3241, large, F32, 9) (dual of [large, large−41, 10]-code), using
- OOA 2-folding [i] based on linear OA(3241, 8388602, F32, 9) (dual of [8388602, 8388561, 10]-code), using
- linear OOA(324, 33, F32, 2, 4) (dual of [(33, 2), 62, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3245, 4194334, F32, 2, 9) (dual of [(4194334, 2), 8388623, 10]-NRT-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.