Information on Result #3266246
Digital (77, 101, 87384)-net over F32, using 322 times duplication based on digital (75, 99, 87384)-net over F32, using
- net defined by OOA [i] based on linear OOA(3299, 87384, F32, 24, 24) (dual of [(87384, 24), 2097117, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(3299, 1048608, F32, 24) (dual of [1048608, 1048509, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3299, 1048609, F32, 24) (dual of [1048609, 1048510, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(16) [i] based on
- linear OA(3293, 1048576, F32, 24) (dual of [1048576, 1048483, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(3265, 1048576, F32, 17) (dual of [1048576, 1048511, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(326, 33, F32, 6) (dual of [33, 27, 7]-code or 33-arc in PG(5,32)), using
- extended Reed–Solomon code RSe(27,32) [i]
- construction X applied to Ce(23) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(3299, 1048609, F32, 24) (dual of [1048609, 1048510, 25]-code), using
- OA 12-folding and stacking [i] based on linear OA(3299, 1048608, F32, 24) (dual of [1048608, 1048509, 25]-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.