Information on Result #1824173
(33, 54, 410)-net in base 32, using base change based on digital (24, 45, 410)-net over F64, using
- 643 times duplication [i] based on digital (21, 42, 410)-net over F64, using
- net defined by OOA [i] based on linear OOA(6442, 410, F64, 21, 21) (dual of [(410, 21), 8568, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(6442, 4101, F64, 21) (dual of [4101, 4059, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(6442, 4102, F64, 21) (dual of [4102, 4060, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(6441, 4097, F64, 21) (dual of [4097, 4056, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(6437, 4097, F64, 19) (dual of [4097, 4060, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 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(6442, 4102, F64, 21) (dual of [4102, 4060, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(6442, 4101, F64, 21) (dual of [4101, 4059, 22]-code), using
- net defined by OOA [i] based on linear OOA(6442, 410, F64, 21, 21) (dual of [(410, 21), 8568, 22]-NRT-code), using
Mode: Constructive.
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.