Information on Result #3266885
Digital (27, 48, 411)-net over F64, using 642 times duplication based on digital (25, 46, 411)-net over F64, using
- net defined by OOA [i] based on linear OOA(6446, 411, F64, 21, 21) (dual of [(411, 21), 8585, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(6446, 4111, F64, 21) (dual of [4111, 4065, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(6446, 4114, F64, 21) (dual of [4114, 4068, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [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(6429, 4097, F64, 15) (dual of [4097, 4068, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(645, 17, F64, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,64)), using
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- Reed–Solomon code RS(59,64) [i]
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(6446, 4114, F64, 21) (dual of [4114, 4068, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(6446, 4111, F64, 21) (dual of [4111, 4065, 22]-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.