Information on Result #1225238
Digital (74, 95, 104922)-net over F32, using (u, u+v)-construction based on
- digital (3, 13, 64)-net over F32, using
- net from sequence [i] based on digital (3, 63)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- net from sequence [i] based on digital (3, 63)-sequence over F32, using
- digital (61, 82, 104858)-net over F32, using
- net defined by OOA [i] based on linear OOA(3282, 104858, F32, 21, 21) (dual of [(104858, 21), 2201936, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(3282, 1048581, F32, 21) (dual of [1048581, 1048499, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3282, 1048586, F32, 21) (dual of [1048586, 1048504, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(3281, 1048577, F32, 21) (dual of [1048577, 1048496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3273, 1048577, F32, 19) (dual of [1048577, 1048504, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3282, 1048586, F32, 21) (dual of [1048586, 1048504, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(3282, 1048581, F32, 21) (dual of [1048581, 1048499, 22]-code), using
- net defined by OOA [i] based on linear OOA(3282, 104858, F32, 21, 21) (dual of [(104858, 21), 2201936, 22]-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.