Information on Result #1843339
(80, 95, 1547899)-net in base 32, using (u, u+v)-construction based on
- digital (19, 26, 349528)-net over F32, using
- net defined by OOA [i] based on linear OOA(3226, 349528, F32, 7, 7) (dual of [(349528, 7), 2446670, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(3226, 1048585, F32, 7) (dual of [1048585, 1048559, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(3226, 1048586, F32, 7) (dual of [1048586, 1048560, 8]-code), using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- linear OA(3225, 1048577, F32, 7) (dual of [1048577, 1048552, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(3217, 1048577, F32, 5) (dual of [1048577, 1048560, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 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 C([0,3]) ⊂ C([0,2]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3226, 1048586, F32, 7) (dual of [1048586, 1048560, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(3226, 1048585, F32, 7) (dual of [1048585, 1048559, 8]-code), using
- net defined by OOA [i] based on linear OOA(3226, 349528, F32, 7, 7) (dual of [(349528, 7), 2446670, 8]-NRT-code), using
- (54, 69, 1198371)-net in base 32, using
- net defined by OOA [i] based on OOA(3269, 1198371, S32, 15, 15), using
- OOA 7-folding and stacking with additional row [i] based on OA(3269, 8388598, S32, 15), using
- discarding factors based on OA(3269, large, S32, 15), using
- discarding parts of the base [i] based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding parts of the base [i] based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- discarding factors based on OA(3269, large, S32, 15), using
- OOA 7-folding and stacking with additional row [i] based on OA(3269, 8388598, S32, 15), using
- net defined by OOA [i] based on OOA(3269, 1198371, S32, 15, 15), 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.