Information on Result #1225613
Digital (77, 108, 2229)-net over F32, using (u, u+v)-construction based on
- digital (1, 16, 44)-net over F32, using
- net from sequence [i] based on digital (1, 43)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- net from sequence [i] based on digital (1, 43)-sequence over F32, using
- digital (61, 92, 2185)-net over F32, using
- net defined by OOA [i] based on linear OOA(3292, 2185, F32, 31, 31) (dual of [(2185, 31), 67643, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(3292, 32776, F32, 31) (dual of [32776, 32684, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,14]) [i] based on
- linear OA(3291, 32769, F32, 31) (dual of [32769, 32678, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- 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(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([0,15]) ⊂ C([0,14]) [i] based on
- OOA 15-folding and stacking with additional row [i] based on linear OA(3292, 32776, F32, 31) (dual of [32776, 32684, 32]-code), using
- net defined by OOA [i] based on linear OOA(3292, 2185, F32, 31, 31) (dual of [(2185, 31), 67643, 32]-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.