Information on Result #1843286
(58, 71, 1398443)-net in base 32, using (u, u+v)-construction based on
- digital (6, 12, 343)-net over F32, using
- net defined by OOA [i] based on linear OOA(3212, 343, F32, 6, 6) (dual of [(343, 6), 2046, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(3212, 1029, F32, 6) (dual of [1029, 1017, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(3211, 1024, F32, 6) (dual of [1024, 1013, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(327, 1024, F32, 4) (dual of [1024, 1017, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(321, 5, F32, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- OA 3-folding and stacking [i] based on linear OA(3212, 1029, F32, 6) (dual of [1029, 1017, 7]-code), using
- net defined by OOA [i] based on linear OOA(3212, 343, F32, 6, 6) (dual of [(343, 6), 2046, 7]-NRT-code), using
- (46, 59, 1398100)-net in base 32, using
- net defined by OOA [i] based on OOA(3259, 1398100, S32, 13, 13), using
- OOA 6-folding and stacking with additional row [i] based on OA(3259, 8388601, S32, 13), using
- discarding factors based on OA(3259, large, S32, 13), using
- discarding parts of the base [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding parts of the base [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- discarding factors based on OA(3259, large, S32, 13), using
- OOA 6-folding and stacking with additional row [i] based on OA(3259, 8388601, S32, 13), using
- net defined by OOA [i] based on OOA(3259, 1398100, S32, 13, 13), using
Mode: Constructive.
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.