Information on Result #3177689
Digital (45, 65, 3279)-net over F32, using 1 times m-reduction based on digital (45, 66, 3279)-net over F32, using
- net defined by OOA [i] based on linear OOA(3266, 3279, F32, 21, 21) (dual of [(3279, 21), 68793, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(3266, 32791, F32, 21) (dual of [32791, 32725, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3266, 32792, F32, 21) (dual of [32792, 32726, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- linear OA(3261, 32769, F32, 21) (dual of [32769, 32708, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3243, 32769, F32, 15) (dual of [32769, 32726, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(325, 23, F32, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,32)), using
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- Reed–Solomon code RS(27,32) [i]
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3266, 32792, F32, 21) (dual of [32792, 32726, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(3266, 32791, F32, 21) (dual of [32791, 32725, 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.