Information on Result #1199110
Digital (20, 32, 192)-net over F32, using net defined by OOA based on linear OOA(3232, 192, F32, 14, 12) (dual of [(192, 14), 2656, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3232, 577, F32, 2, 12) (dual of [(577, 2), 1122, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3232, 579, F32, 2, 12) (dual of [(579, 2), 1126, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(329, 66, F32, 2, 6) (dual of [(66, 2), 123, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(323, 33, F32, 2, 3) (dual of [(33, 2), 63, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;63,32) [i]
- 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(323, 33, F32, 2, 3) (dual of [(33, 2), 63, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3223, 513, F32, 2, 12) (dual of [(513, 2), 1003, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3223, 1026, F32, 12) (dual of [1026, 1003, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(3223, 1024, F32, 12) (dual of [1024, 1001, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(3221, 1024, F32, 11) (dual of [1024, 1003, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 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(3223, 1026, F32, 12) (dual of [1026, 1003, 13]-code), using
- linear OOA(329, 66, F32, 2, 6) (dual of [(66, 2), 123, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3232, 579, F32, 2, 12) (dual of [(579, 2), 1126, 13]-NRT-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.