Information on Result #1226788
Digital (49, 57, 8388602)-net over F64, using (u, u+v)-construction based on
- digital (9, 13, 4194301)-net over F64, using
- net defined by OOA [i] based on linear OOA(6413, 4194301, F64, 4, 4) (dual of [(4194301, 4), 16777191, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(6413, 4194301, F64, 3, 4) (dual of [(4194301, 3), 12582890, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(6413, 8388602, F64, 4) (dual of [8388602, 8388589, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(6413, large, F64, 4) (dual of [large, large−13, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(6413, large, F64, 4) (dual of [large, large−13, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(6413, 8388602, F64, 4) (dual of [8388602, 8388589, 5]-code), using
- appending kth column [i] based on linear OOA(6413, 4194301, F64, 3, 4) (dual of [(4194301, 3), 12582890, 5]-NRT-code), using
- net defined by OOA [i] based on linear OOA(6413, 4194301, F64, 4, 4) (dual of [(4194301, 4), 16777191, 5]-NRT-code), using
- digital (36, 44, 4194301)-net over F64, using
- net defined by OOA [i] based on linear OOA(6444, 4194301, F64, 10, 8) (dual of [(4194301, 10), 41942966, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(6444, large, F64, 2, 8), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(6442, 8388602, F64, 2, 8) (dual of [(8388602, 2), 16777162, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6413, 4194301, F64, 2, 4) (dual of [(4194301, 2), 8388589, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6413, 8388602, F64, 4) (dual of [8388602, 8388589, 5]-code) (see above)
- linear OOA(6429, 4194301, F64, 2, 8) (dual of [(4194301, 2), 8388573, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6429, 8388602, F64, 8) (dual of [8388602, 8388573, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(6429, large, F64, 8) (dual of [large, large−29, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(6429, large, F64, 8) (dual of [large, large−29, 9]-code), using
- OOA 2-folding [i] based on linear OA(6429, 8388602, F64, 8) (dual of [8388602, 8388573, 9]-code), using
- linear OOA(6413, 4194301, F64, 2, 4) (dual of [(4194301, 2), 8388589, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- 1 times NRT-code embedding in larger space [i] based on linear OOA(6442, 8388602, F64, 2, 8) (dual of [(8388602, 2), 16777162, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(6444, large, F64, 2, 8), using
- net defined by OOA [i] based on linear OOA(6444, 4194301, F64, 10, 8) (dual of [(4194301, 10), 41942966, 9]-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.