Information on Result #1210526
Digital (239, 255, 5242875)-net over F4, using (u, u+v)-construction based on
- digital (64, 72, 2097150)-net over F4, using
- net defined by OOA [i] based on linear OOA(472, 2097150, F4, 8, 8) (dual of [(2097150, 8), 16777128, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(472, 8388600, F4, 8) (dual of [8388600, 8388528, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(472, large, F4, 8) (dual of [large, large−72, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(472, large, F4, 8) (dual of [large, large−72, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(472, 8388600, F4, 8) (dual of [8388600, 8388528, 9]-code), using
- net defined by OOA [i] based on linear OOA(472, 2097150, F4, 8, 8) (dual of [(2097150, 8), 16777128, 9]-NRT-code), using
- digital (167, 183, 3145725)-net over F4, using
- trace code for nets [i] based on digital (45, 61, 1048575)-net over F64, using
- net defined by OOA [i] based on linear OOA(6461, 1048575, F64, 16, 16) (dual of [(1048575, 16), 16777139, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(6461, 8388600, F64, 16) (dual of [8388600, 8388539, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- OA 8-folding and stacking [i] based on linear OA(6461, 8388600, F64, 16) (dual of [8388600, 8388539, 17]-code), using
- net defined by OOA [i] based on linear OOA(6461, 1048575, F64, 16, 16) (dual of [(1048575, 16), 16777139, 17]-NRT-code), using
- trace code for nets [i] based on digital (45, 61, 1048575)-net over F64, 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.