Information on Result #1224607
Digital (62, 70, 8388602)-net over F32, using (u, u+v)-construction based on
- digital (12, 16, 4194301)-net over F32, using
- net defined by OOA [i] based on linear OOA(3216, 4194301, F32, 4, 4) (dual of [(4194301, 4), 16777188, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(3216, 8388602, F32, 4) (dual of [8388602, 8388586, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(3216, large, F32, 4) (dual of [large, large−16, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(3216, large, F32, 4) (dual of [large, large−16, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(3216, 8388602, F32, 4) (dual of [8388602, 8388586, 5]-code), using
- net defined by OOA [i] based on linear OOA(3216, 4194301, F32, 4, 4) (dual of [(4194301, 4), 16777188, 5]-NRT-code), using
- digital (46, 54, 4194301)-net over F32, using
- net defined by OOA [i] based on linear OOA(3254, 4194301, F32, 10, 8) (dual of [(4194301, 10), 41942956, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3254, large, F32, 2, 8), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3252, 8388602, F32, 2, 8) (dual of [(8388602, 2), 16777152, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3216, 4194301, F32, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3216, 8388602, F32, 4) (dual of [8388602, 8388586, 5]-code) (see above)
- linear OOA(3236, 4194301, F32, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3236, 8388602, F32, 8) (dual of [8388602, 8388566, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(3236, large, F32, 8) (dual of [large, large−36, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(3236, large, F32, 8) (dual of [large, large−36, 9]-code), using
- OOA 2-folding [i] based on linear OA(3236, 8388602, F32, 8) (dual of [8388602, 8388566, 9]-code), using
- linear OOA(3216, 4194301, F32, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3252, 8388602, F32, 2, 8) (dual of [(8388602, 2), 16777152, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3254, large, F32, 2, 8), using
- net defined by OOA [i] based on linear OOA(3254, 4194301, F32, 10, 8) (dual of [(4194301, 10), 41942956, 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.