Information on Result #1837084
OOA(12867, 2796459, S128, 3, 17), using (u, u+v)-construction based on
- OOA(12811, 258, S128, 3, 8), using
- extracting embedded OOA [i] based on (3, 11, 258)-net in base 128, using
- 5 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
- 5 times m-reduction [i] based on (3, 16, 258)-net in base 128, using
- extracting embedded OOA [i] based on (3, 11, 258)-net in base 128, using
- OOA(12856, 2796201, S128, 3, 17), using
- OOA 3-folding [i] based on OA(12856, large, S128, 17), using
- discarding parts of the base [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding parts of the base [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- OOA 3-folding [i] based on OA(12856, large, S128, 17), 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.