Information on Result #1844094
(46, 60, 1203834)-net in base 128, using (u, u+v)-construction based on
- digital (7, 14, 5463)-net over F128, using
- net defined by OOA [i] based on linear OOA(12814, 5463, F128, 7, 7) (dual of [(5463, 7), 38227, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(12814, 16390, F128, 7) (dual of [16390, 16376, 8]-code), using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- linear OA(12813, 16385, F128, 7) (dual of [16385, 16372, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(1289, 16385, F128, 5) (dual of [16385, 16376, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 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
- OOA 3-folding and stacking with additional row [i] based on linear OA(12814, 16390, F128, 7) (dual of [16390, 16376, 8]-code), using
- net defined by OOA [i] based on linear OOA(12814, 5463, F128, 7, 7) (dual of [(5463, 7), 38227, 8]-NRT-code), using
- (32, 46, 1198371)-net in base 128, using
- net defined by OOA [i] based on OOA(12846, 1198371, S128, 14, 14), using
- OA 7-folding and stacking [i] based on OA(12846, 8388597, S128, 14), using
- discarding factors based on OA(12846, large, S128, 14), using
- discarding parts of the base [i] based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding parts of the base [i] based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- discarding factors based on OA(12846, large, S128, 14), using
- OA 7-folding and stacking [i] based on OA(12846, 8388597, S128, 14), using
- net defined by OOA [i] based on OOA(12846, 1198371, S128, 14, 14), 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.