Information on Result #1838749
OOA(12872, 2097408, S128, 4, 18), using (u, u+v)-construction based on
- OOA(12812, 258, S128, 4, 9), using
- extracting embedded OOA [i] based on (3, 12, 258)-net in base 128, using
- 4 times m-reduction [i] based on (3, 16, 258)-net in base 128, using
- base change [i] based on digital (1, 14, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- base change [i] based on digital (1, 14, 258)-net over F256, using
- 4 times m-reduction [i] based on (3, 16, 258)-net in base 128, using
- extracting embedded OOA [i] based on (3, 12, 258)-net in base 128, using
- OOA(12860, 2097150, S128, 4, 18), using
- OOA 4-folding [i] based on OA(12860, 8388600, S128, 18), using
- discarding factors based on OA(12860, large, S128, 18), using
- discarding parts of the base [i] based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding parts of the base [i] based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- discarding factors based on OA(12860, large, S128, 18), using
- OOA 4-folding [i] based on OA(12860, 8388600, S128, 18), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.