Information on Result #1205295
Digital (208, 224, 4194816)-net over F4, using trace code for nets based on digital (40, 56, 1048704)-net over F256, using
- net defined by OOA [i] based on linear OOA(25656, 1048704, F256, 20, 16) (dual of [(1048704, 20), 20974024, 17]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(25656, 2097409, F256, 4, 16) (dual of [(2097409, 4), 8389580, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25610, 259, F256, 4, 8) (dual of [(259, 4), 1026, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 10, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- extracting embedded OOA [i] based on digital (2, 10, 259)-net over F256, using
- linear OOA(25646, 2097150, F256, 4, 16) (dual of [(2097150, 4), 8388554, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25646, 8388600, F256, 16) (dual of [8388600, 8388554, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- OOA 4-folding [i] based on linear OA(25646, 8388600, F256, 16) (dual of [8388600, 8388554, 17]-code), using
- linear OOA(25610, 259, F256, 4, 8) (dual of [(259, 4), 1026, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA 2-folding and stacking with additional row [i] based on linear OOA(25656, 2097409, F256, 4, 16) (dual of [(2097409, 4), 8389580, 17]-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.