Information on Result #1225524
Digital (74, 103, 2405)-net over F32, using (u, u+v)-construction based on
- digital (3, 17, 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 (57, 86, 2341)-net over F32, using
- net defined by OOA [i] based on linear OOA(3286, 2341, F32, 29, 29) (dual of [(2341, 29), 67803, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(3286, 32775, F32, 29) (dual of [32775, 32689, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(3286, 32776, F32, 29) (dual of [32776, 32690, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,13]) [i] based on
- linear OA(3285, 32769, F32, 29) (dual of [32769, 32684, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(3279, 32769, F32, 27) (dual of [32769, 32690, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 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([0,14]) ⊂ C([0,13]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3286, 32776, F32, 29) (dual of [32776, 32690, 30]-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(3286, 32775, F32, 29) (dual of [32775, 32689, 30]-code), using
- net defined by OOA [i] based on linear OOA(3286, 2341, F32, 29, 29) (dual of [(2341, 29), 67803, 30]-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.