Information on Result #1199142
Digital (39, 51, 174774)-net over F32, using net defined by OOA based on linear OOA(3251, 174774, F32, 14, 12) (dual of [(174774, 14), 2446785, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3251, 524323, F32, 2, 12) (dual of [(524323, 2), 1048595, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(326, 33, F32, 2, 6) (dual of [(33, 2), 60, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;60,32) [i]
- linear OOA(3245, 524290, F32, 2, 12) (dual of [(524290, 2), 1048535, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3245, 1048580, F32, 12) (dual of [1048580, 1048535, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(3245, 1048576, F32, 12) (dual of [1048576, 1048531, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(3241, 1048576, F32, 11) (dual of [1048576, 1048535, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- OOA 2-folding [i] based on linear OA(3245, 1048580, F32, 12) (dual of [1048580, 1048535, 13]-code), using
- linear OOA(326, 33, F32, 2, 6) (dual of [(33, 2), 60, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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.